Details

analyze375.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

518×	`div-sub_binary64_9290`
480×	`cancel-sign-sub-inv_binary64_9251`
440×	`associate-/l*_binary64_9230`
364×	`distribute-rgt-in_binary64_9235`
300×	`associate-/r/_binary64_9231`
282×	`distribute-lft-in_binary64_9234`
246×	`associate-/l/_binary64_9232`
220×	`distribute-neg-frac_binary64_9249`
216×	`sub-neg_binary64_9278`
200×	`associate-/r*_binary64_9229`
192×	`times-frac_binary64_9291`
168×	`distribute-rgt-neg-in_binary64_9243`
166×	`unsub-neg_binary64_9279`
154×	`distribute-lft-neg-in_binary64_9242`
108×	`*-commutative_binary64_9216`
94×	`associate-*l/_binary64_9228`
90×	`associate-r_binary64_9225`
84×	`distribute-rgt-neg-out_binary64_9245`
74×	`associate--r+_binary64_9221`
70×	`neg-sub0_binary64_9280`
62×	`neg-mul-1_binary64_9281`
58×	`distribute-neg-in_binary64_9246`
56×	`distribute-lft-neg-out_binary64_9244`
52×	`associate-*r/_binary64_9227`
48×	`associate-l_binary64_9226`
36×	`mul0-rgt_binary64_9268` `div0_binary64_9266`
32×	`mul0-lft_binary64_9267` `+-commutative_binary64_9215`
28×	`associate-+l-_binary64_9220`
26×	`associate--r-_binary64_9224`
22×	`*-lft-identity_binary64_9274` `associate--l+_binary64_9222`
20×	`/-rgt-identity_binary64_9276` `sub0-neg_binary64_9272`
18×	`*-rgt-identity_binary64_9275` `remove-double-neg_binary64_9273`
16×	`distribute-frac-neg_binary64_9248`
14×	`associate-+l+_binary64_9218`
12×	`associate--l-_binary64_9223` `associate-+r-_binary64_9219` `associate-+r+_binary64_9217`
10×	`mul-1-neg_binary64_9277` `--rgt-identity_binary64_9271` `remove-double-div_binary64_9261`
6×	`+-rgt-identity_binary64_9270` `distribute-neg-out_binary64_9247`
4×	`distribute-rgt1-in_binary64_9241`
2×	`distribute-rgt-out--_binary64_9239` `distribute-lft-out_binary64_9236`
1×	`1-exp_binary64_9329`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `log-pow_binary64_9374` `log-rec_binary64_9373` `log-div_binary64_9372` `log-prod_binary64_9371` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow3_binary64_9351` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `pow-plus_binary64_9348` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `exp-prod_binary64_9337` `div-exp_binary64_9336` `rec-exp_binary64_9335` `prod-exp_binary64_9334` `exp-diff_binary64_9333` `exp-neg_binary64_9332` `exp-sum_binary64_9331` `e-exp-1_binary64_9330` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-unmult_binary64_9322` `cube-mult_binary64_9315` `cube-div_binary64_9314` `cube-prod_binary64_9313` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `rem-sqrt-square_binary64_9298` `rem-square-sqrt_binary64_9297` `+-lft-identity_binary64_9269` `*-inverses_binary64_9265` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `pow-sqr_binary64_9258` `sqr-pow_binary64_9257` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255` `difference-of-squares_binary64_9254` `unswap-sqr_binary64_9253` `swap-sqr_binary64_9252` `cancel-sign-sub_binary64_9250` `distribute-lft1-in_binary64_9240` `distribute-rgt-out_binary64_9238` `distribute-lft-out--_binary64_9237` `count-2_binary64_9233`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	100	36
3	199	36
4	345	36
5	537	36
6	1012	36
7	1304	36
8	1224	36
9	1367	36
10	1617	36
11	1639	36
12	1825	36
13	1773	36
14	1833	36
15	1885	36
16	1741	36
17	1741	36
18	1741	36
19	1741	36
20	1649	36
21	1669	36
22	1653	36
23	1432	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 29 to 29 computations (0% saved)

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

228×	`cancel-sign-sub-inv_binary64_9251`
83×	`associate-/l*_binary64_9230`
72×	`distribute-rgt-in_binary64_9235`
70×	`associate-/r/_binary64_9231`
65×	`div-sub_binary64_9290`
55×	`distribute-neg-frac_binary64_9249` `associate-/r*_binary64_9229`
54×	`sub-neg_binary64_9278`
53×	`distribute-lft-in_binary64_9234`
51×	`distribute-rgt-neg-in_binary64_9243`
46×	`associate-/l/_binary64_9232`
40×	`associate-r_binary64_9225`
38×	`distribute-lft-neg-in_binary64_9242`
32×	`times-frac_binary64_9291`
27×	`unsub-neg_binary64_9279`
26×	`distribute-rgt-neg-out_binary64_9245`
25×	`associate--r+_binary64_9221`
24×	`neg-mul-1_binary64_9281`
23×	`distribute-lft-neg-out_binary64_9244`
21×	`associate-*l/_binary64_9228`
20×	`neg-sub0_binary64_9280`
19×	`distribute-neg-in_binary64_9246` `*-commutative_binary64_9216`
17×	`associate-*r/_binary64_9227`
16×	`associate-l_binary64_9226`
13×	`associate--r-_binary64_9224` `associate-+l-_binary64_9220`
12×	`+-commutative_binary64_9215`
11×	`*-lft-identity_binary64_9274` `associate--l+_binary64_9222`
10×	`sub0-neg_binary64_9272`
8×	`remove-double-neg_binary64_9273` `mul0-rgt_binary64_9268`
7×	`associate-+l+_binary64_9218`
6×	`mul0-lft_binary64_9267` `div0_binary64_9266` `associate--l-_binary64_9223` `associate-+r-_binary64_9219` `associate-+r+_binary64_9217`
5×	`*-rgt-identity_binary64_9275` `--rgt-identity_binary64_9271`
4×	`/-rgt-identity_binary64_9276`
3×	`+-rgt-identity_binary64_9270` `distribute-neg-out_binary64_9247`
2×	`distribute-frac-neg_binary64_9248` `distribute-rgt1-in_binary64_9241`
1×	`1-exp_binary64_9329` `mul-1-neg_binary64_9277` `distribute-rgt-out--_binary64_9239` `distribute-lft-out_binary64_9236`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `log-pow_binary64_9374` `log-rec_binary64_9373` `log-div_binary64_9372` `log-prod_binary64_9371` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow3_binary64_9351` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `pow-plus_binary64_9348` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `exp-prod_binary64_9337` `div-exp_binary64_9336` `rec-exp_binary64_9335` `prod-exp_binary64_9334` `exp-diff_binary64_9333` `exp-neg_binary64_9332` `exp-sum_binary64_9331` `e-exp-1_binary64_9330` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-unmult_binary64_9322` `cube-mult_binary64_9315` `cube-div_binary64_9314` `cube-prod_binary64_9313` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `rem-sqrt-square_binary64_9298` `rem-square-sqrt_binary64_9297` `+-lft-identity_binary64_9269` `*-inverses_binary64_9265` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `pow-sqr_binary64_9258` `sqr-pow_binary64_9257` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255` `difference-of-squares_binary64_9254` `unswap-sqr_binary64_9253` `swap-sqr_binary64_9252` `cancel-sign-sub_binary64_9250` `distribute-lft1-in_binary64_9240` `distribute-rgt-out_binary64_9238` `distribute-lft-out--_binary64_9237` `count-2_binary64_9233`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.2b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.3b	(/.f64 1 (*.f64 x 9))

rewrite200.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-exp-log_binary64_9323` `*-un-lft-identity_binary64_9285`
21×	`add-sqr-sqrt_binary64_9307`
16×	`add-cbrt-cube_binary64_9321`
15×	`add-cube-cbrt_binary64_9320`
14×	`cancel-sign-sub-inv_binary64_9251`
12×	`times-frac_binary64_9291`
9×	`pow1_binary64_9346` `add-log-exp_binary64_9324`
8×	`associate--l+_binary64_9222`
6×	`div-exp_binary64_9336` `associate-/l_binary64_9230` `associate-r*_binary64_9225`
5×	`prod-exp_binary64_9334` `div-inv_binary64_9282` `distribute-lft-out--_binary64_9237`
4×	`cbrt-undiv_binary64_9319` `sqrt-prod_binary64_9301`
3×	`cbrt-unprod_binary64_9318` `associate-l_binary64_9226` `diff-log_binary64_9377`
2×	`pow-prod-down_binary64_9356` `pow-flip_binary64_9359` `1-exp_binary64_9329` `rec-exp_binary64_9335` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/r*_binary64_9229` `unswap-sqr_binary64_9253` `flip3--_binary64_9289` `frac-sub_binary64_9294` `flip--_binary64_9260` `sub-neg_binary64_9278`
1×	`inv-pow_binary64_9370` `*-commutative_binary64_9216` `difference-of-squares_binary64_9254` `associate--l-_binary64_9223`

Counts

4 → 105

Calls

4 calls:

16.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
9.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 2210 to 1614 computations (27% saved)

series355.0ms (4.5%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

175.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (/.f64 y (.f64 3 (sqrt.f64 x))))
113.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
26.0ms	(/.f64 1 (*.f64 x 9))
22.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 815 to 723 computations (11.3% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

946×	`times-frac_binary64_9291`
566×	`associate-/l*_binary64_9230`
290×	`associate-/l/_binary64_9232`
200×	`distribute-rgt-in_binary64_9235`
185×	`distribute-lft-in_binary64_9234`
140×	`associate-/r/_binary64_9231`
137×	`cancel-sign-sub-inv_binary64_9251`
124×	`distribute-rgt-neg-in_binary64_9243`
107×	`distribute-neg-frac_binary64_9249`
104×	`*-commutative_binary64_9216`
100×	`distribute-lft-neg-in_binary64_9242`
92×	`associate-l_binary64_9226`
90×	`sub-neg_binary64_9278`
74×	`associate-/r*_binary64_9229`
69×	`neg-mul-1_binary64_9281`
68×	`neg-sub0_binary64_9280`
65×	`associate-r_binary64_9225`
57×	`associate-*l/_binary64_9228`
45×	`exp-prod_binary64_9337` `distribute-lft-neg-out_binary64_9244` `associate-*r/_binary64_9227`
37×	`+-commutative_binary64_9215`
33×	`distribute-neg-in_binary64_9246`
27×	`sqr-pow_binary64_9257`
26×	`distribute-rgt-neg-out_binary64_9245`
25×	`log-prod_binary64_9371` `cube-prod_binary64_9313` `swap-sqr_binary64_9252`
23×	`cube-div_binary64_9314`
22×	`log-div_binary64_9372`
16×	`unsub-neg_binary64_9279` `distribute-rgt-out_binary64_9238`
14×	`div-sub_binary64_9290`
12×	`unswap-sqr_binary64_9253` `associate-+r-_binary64_9219`
11×	`unpow3_binary64_9351`
10×	`associate--r+_binary64_9221`
9×	`*-rgt-identity_binary64_9275` `associate-+r+_binary64_9217`
8×	`cube-mult_binary64_9315` `*-lft-identity_binary64_9274`
7×	`exp-diff_binary64_9333` `exp-sum_binary64_9331` `distribute-neg-out_binary64_9247` `associate-+l+_binary64_9218`
5×	`cube-unmult_binary64_9322` `+-rgt-identity_binary64_9270` `distribute-frac-neg_binary64_9248`
4×	`rem-sqrt-square_binary64_9298` `difference-of-squares_binary64_9254` `distribute-rgt1-in_binary64_9241` `distribute-lft-out_binary64_9236` `associate-+l-_binary64_9220`
3×	`div-exp_binary64_9336` `rem-square-sqrt_binary64_9297` `pow-sqr_binary64_9258` `count-2_binary64_9233` `associate--l-_binary64_9223`
2×	`log-rec_binary64_9373` `pow-plus_binary64_9348` `exp-cbrt_binary64_9339` `rem-3cbrt-lft_binary64_9310` `/-rgt-identity_binary64_9276` `+-lft-identity_binary64_9269` `associate--l+_binary64_9222`
1×	`exp-lft-cube_binary64_9341` `prod-exp_binary64_9334` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `sub0-neg_binary64_9272` `div0_binary64_9266` `cancel-sign-sub_binary64_9250` `associate--r-_binary64_9224`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `log-pow_binary64_9374` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-sqr_binary64_9340` `exp-sqrt_binary64_9338` `rec-exp_binary64_9335` `exp-neg_binary64_9332` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `mul-1-neg_binary64_9277` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `*-inverses_binary64_9265` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255` `distribute-lft1-in_binary64_9240` `distribute-rgt-out--_binary64_9239` `distribute-lft-out--_binary64_9237`

Counts

126 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	1798
1	512	1572
2	1484	1561
3	5162	1561

prune110.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	73	9	82
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	75	9	84

Error

0.0b

Counts

84 → 9

Compiler

Compiled 1503 to 1098 computations (26.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 3 (/.f64 y (sqrt.f64 x)))
0.3b	(/.f64 y (sqrt.f64 x))
0.3b	(/.f64 1 (*.f64 x 9))
0.7b	(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))

rewrite1.2s (14.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

852×	`times-frac_binary64_9291`
416×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
156×	`sqrt-prod_binary64_9301`
100×	`associate-/r*_binary64_9229`
43×	`add-exp-log_binary64_9323`
25×	`add-cbrt-cube_binary64_9321`
24×	`div-inv_binary64_9282`
23×	`div-exp_binary64_9336`
12×	`cbrt-undiv_binary64_9319` `associate-/l*_binary64_9230`
8×	`pow1_binary64_9346`
6×	`associate-/r/_binary64_9231`
5×	`1-exp_binary64_9329` `rec-exp_binary64_9335`
4×	`add-log-exp_binary64_9324` `frac-2neg_binary64_9296` `clear-num_binary64_9284`
3×	`pow-flip_binary64_9359` `prod-exp_binary64_9334`
2×	`inv-pow_binary64_9370`
1×	`pow-prod-down_binary64_9356` `cbrt-unprod_binary64_9318`

Counts

4 → 485

Calls

4 calls:

21.0ms	(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
9.0ms	(/.f64 3 (/.f64 y (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))
4.0ms	(/.f64 y (sqrt.f64 x))

Compiler

Compiled 14066 to 8965 computations (36.3% saved)

series349.0ms (4.4%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

109.0ms	(/.f64 1 (/.f64 3 (/.f64 y (sqrt.f64 x))))
104.0ms	(/.f64 y (sqrt.f64 x))
90.0ms	(/.f64 3 (/.f64 y (sqrt.f64 x)))
26.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 1085 to 952 computations (12.3% saved)

simplify502.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-/r/_binary64_9231`
326×	`associate-*l/_binary64_9228`
309×	`*-commutative_binary64_9216`
305×	`associate-/l/_binary64_9232`
280×	`associate-*r/_binary64_9227`
242×	`associate--r+_binary64_9221`
214×	`associate-/r*_binary64_9229`
184×	`associate-/l*_binary64_9230`
164×	`associate--r-_binary64_9224`
113×	`sub-neg_binary64_9278`
111×	`associate--l+_binary64_9222`
107×	`associate-r_binary64_9225`
97×	`times-frac_binary64_9291`
88×	`associate-l_binary64_9226`
76×	`*-rgt-identity_binary64_9275`
72×	`associate-+r+_binary64_9217`
69×	`distribute-rgt-in_binary64_9235`
65×	`cancel-sign-sub-inv_binary64_9251`
58×	`associate-+r-_binary64_9219`
52×	`neg-mul-1_binary64_9281` `sqr-pow_binary64_9257`
49×	`neg-sub0_binary64_9280`
45×	`cube-prod_binary64_9313` `unsub-neg_binary64_9279`
44×	`associate--l-_binary64_9223`
43×	`log-prod_binary64_9371`
42×	`log-div_binary64_9372`
38×	`swap-sqr_binary64_9252` `distribute-rgt-neg-in_binary64_9243`
36×	`distribute-neg-in_binary64_9246` `distribute-lft-in_binary64_9234`
35×	`exp-prod_binary64_9337` `cube-div_binary64_9314`
34×	`distribute-lft-neg-in_binary64_9242`
32×	`associate-+l+_binary64_9218`
30×	`associate-+l-_binary64_9220`
27×	`+-commutative_binary64_9215`
25×	`unswap-sqr_binary64_9253`
24×	`*-lft-identity_binary64_9274` `remove-double-div_binary64_9261`
21×	`distribute-neg-frac_binary64_9249`
20×	`/-rgt-identity_binary64_9276`
15×	`rem-sqrt-square_binary64_9298`
14×	`unpow3_binary64_9351` `cube-mult_binary64_9315`
12×	`+-rgt-identity_binary64_9270`
11×	`div-sub_binary64_9290` `+-lft-identity_binary64_9269`
9×	`log-rec_binary64_9373`
8×	`cube-unmult_binary64_9322`
7×	`--rgt-identity_binary64_9271`
6×	`distribute-lft-neg-out_binary64_9244`
5×	`sub0-neg_binary64_9272`
4×	`unpow1/2_binary64_9349` `pow-plus_binary64_9348` `prod-exp_binary64_9334` `pow-sqr_binary64_9258` `distribute-neg-out_binary64_9247` `distribute-lft-out_binary64_9236`
3×	`distribute-rgt-neg-out_binary64_9245` `distribute-rgt-out_binary64_9238` `distribute-lft-out--_binary64_9237` `count-2_binary64_9233`
2×	`exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267`
1×	`unpow2_binary64_9350` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-square-sqrt_binary64_9297` `remove-double-neg_binary64_9273` `div0_binary64_9266` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240` `distribute-rgt-out--_binary64_9239`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `log-pow_binary64_9374` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-sqr_binary64_9340` `exp-sqrt_binary64_9338` `div-exp_binary64_9336` `rec-exp_binary64_9335` `exp-diff_binary64_9333` `exp-neg_binary64_9332` `exp-sum_binary64_9331` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `mul-1-neg_binary64_9277` `*-inverses_binary64_9265` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255` `difference-of-squares_binary64_9254` `cancel-sign-sub_binary64_9250` `distribute-frac-neg_binary64_9248`

Counts

506 → 421

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	11756
1	1023	10995
2	3510	10910
3	3852	10910
4	4967	10910
5	4978	10910
6	4932	10910

prune771.0ms (9.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	420	1	421
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	422	8	430

Error

0.0b

Counts

430 → 8

Compiler

Compiled 10448 to 6423 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
0.3b	(/.f64 y (sqrt.f64 x))
0.3b	(/.f64 1 (*.f64 x 9))
0.3b	(*.f64 1/3 (/.f64 y (sqrt.f64 x)))

rewrite215.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`add-sqr-sqrt_binary64_9307`
44×	`times-frac_binary64_9291`
37×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
22×	`add-exp-log_binary64_9323` `sqrt-prod_binary64_9301` `associate-r_binary64_9225`
16×	`add-cbrt-cube_binary64_9321`
9×	`pow1_binary64_9346` `add-log-exp_binary64_9324`
8×	`cancel-sign-sub-inv_binary64_9251` `associate--l+_binary64_9222`
7×	`associate-/r*_binary64_9229`
6×	`div-exp_binary64_9336` `associate-/l*_binary64_9230`
5×	`prod-exp_binary64_9334`
4×	`cbrt-undiv_binary64_9319` `div-inv_binary64_9282`
3×	`cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `associate-r/_binary64_9227` `associate-l*_binary64_9226` `diff-log_binary64_9377`
2×	`pow-prod-down_binary64_9356` `pow-flip_binary64_9359` `1-exp_binary64_9329` `rec-exp_binary64_9335` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `flip3--_binary64_9289` `frac-sub_binary64_9294` `flip--_binary64_9260` `sub-neg_binary64_9278`
1×	`*-commutative_binary64_9216` `inv-pow_binary64_9370` `associate--l-_binary64_9223`

Counts

4 → 133

Calls

4 calls:

14.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
11.0ms	(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
5.0ms	(/.f64 1 (*.f64 x 9))
5.0ms	(/.f64 y (sqrt.f64 x))

Compiler

Compiled 2902 to 1796 computations (38.1% saved)

series448.0ms (5.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

177.0ms	(-.f64 (-.f64 1 (/.f64 1 (.f64 x 9))) (.f64 1/3 (/.f64 y (sqrt.f64 x))))
123.0ms	(*.f64 1/3 (/.f64 y (sqrt.f64 x)))
100.0ms	(/.f64 y (sqrt.f64 x))
25.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 957 to 841 computations (12.1% saved)

simplify108.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

493×	`associate-l_binary64_9226`
360×	`associate-*l/_binary64_9228`
358×	`associate-*r/_binary64_9227`
339×	`associate-/l*_binary64_9230`
310×	`times-frac_binary64_9291`
184×	`distribute-rgt-in_binary64_9235`
180×	`associate-/r*_binary64_9229`
175×	`distribute-lft-in_binary64_9234`
159×	`associate-/l/_binary64_9232`
125×	`cancel-sign-sub-inv_binary64_9251`
108×	`distribute-rgt-neg-in_binary64_9243`
97×	`*-commutative_binary64_9216`
94×	`associate-/r/_binary64_9231`
88×	`distribute-lft-neg-in_binary64_9242`
82×	`div-sub_binary64_9290` `distribute-neg-frac_binary64_9249`
77×	`sub-neg_binary64_9278`
67×	`exp-prod_binary64_9337`
54×	`associate-r_binary64_9225`
52×	`neg-mul-1_binary64_9281`
50×	`neg-sub0_binary64_9280`
43×	`log-div_binary64_9372`
38×	`cube-div_binary64_9314`
37×	`+-commutative_binary64_9215`
34×	`cube-prod_binary64_9313`
32×	`log-prod_binary64_9371`
30×	`distribute-lft-neg-out_binary64_9244`
28×	`distribute-neg-in_binary64_9246`
26×	`exp-sum_binary64_9331`
24×	`sqr-pow_binary64_9257`
17×	`distribute-rgt-out_binary64_9238`
15×	`unpow3_binary64_9351` `exp-diff_binary64_9333`
14×	`*-rgt-identity_binary64_9275`
12×	`distribute-rgt-neg-out_binary64_9245` `associate-+r-_binary64_9219`
11×	`swap-sqr_binary64_9252`
10×	`cube-mult_binary64_9315` `unsub-neg_binary64_9279`
9×	`cube-unmult_binary64_9322` `*-lft-identity_binary64_9274` `associate-+r+_binary64_9217`
8×	`associate--r+_binary64_9221` `associate-+l+_binary64_9218`
5×	`/-rgt-identity_binary64_9276` `unswap-sqr_binary64_9253` `associate-+l-_binary64_9220`
4×	`div-exp_binary64_9336` `+-rgt-identity_binary64_9270` `distribute-neg-out_binary64_9247` `distribute-rgt1-in_binary64_9241` `distribute-lft-out_binary64_9236`
3×	`log-rec_binary64_9373` `pow-plus_binary64_9348` `prod-exp_binary64_9334` `rem-sqrt-square_binary64_9298` `difference-of-squares_binary64_9254` `associate--l-_binary64_9223`
2×	`unpow1/3_binary64_9352` `rem-3cbrt-lft_binary64_9310` `sqr-neg_binary64_9299` `rem-square-sqrt_binary64_9297` `+-lft-identity_binary64_9269` `pow-sqr_binary64_9258` `distribute-frac-neg_binary64_9248` `count-2_binary64_9233` `associate--l+_binary64_9222`
1×	`log-pow_binary64_9374` `unpow1/2_binary64_9349` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `sub0-neg_binary64_9272` `associate--r-_binary64_9224`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `pow-base-0_binary64_9369` `unpow2_binary64_9350` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `rec-exp_binary64_9335` `exp-neg_binary64_9332` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `mul-1-neg_binary64_9277` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `div0_binary64_9266` `*-inverses_binary64_9265` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255` `cancel-sign-sub_binary64_9250` `distribute-lft1-in_binary64_9240` `distribute-rgt-out--_binary64_9239` `distribute-lft-out--_binary64_9237`

Counts

157 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2208
1	510	1989
2	1382	1977
3	4740	1977
4	4920	1977

prune100.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Error

0.0b

Counts

99 → 8

Compiler

Compiled 1659 to 1088 computations (34.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (/.f64 y (.f64 3 (sqrt.f64 x))))
0.2b	(/.f64 y (*.f64 3 (sqrt.f64 x)))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(*.f64 (/.f64 1 x) 1/9)

rewrite182.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64_9307`
22×	`*-un-lft-identity_binary64_9285`
20×	`add-exp-log_binary64_9323`
19×	`add-cube-cbrt_binary64_9320`
17×	`times-frac_binary64_9291`
16×	`add-cbrt-cube_binary64_9321` `associate-l_binary64_9226`
9×	`add-log-exp_binary64_9324` `associate-r_binary64_9225`
8×	`pow1_binary64_9346` `cancel-sign-sub-inv_binary64_9251`
6×	`prod-exp_binary64_9334`
5×	`unswap-sqr_binary64_9253`
4×	`div-exp_binary64_9336` `cbrt-unprod_binary64_9318` `sqrt-prod_binary64_9301`
3×	`cbrt-undiv_binary64_9319` `div-inv_binary64_9282` `associate-/l*_binary64_9230` `diff-log_binary64_9377`
2×	`pow-prod-down_binary64_9356` `*-commutative_binary64_9216` `flip3--_binary64_9289` `frac-sub_binary64_9294` `flip--_binary64_9260` `sub-neg_binary64_9278` `associate--l+_binary64_9222`
1×	`1-exp_binary64_9329` `rec-exp_binary64_9335` `associate-l/_binary64_9228` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/r_binary64_9229` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237` `associate--l-_binary64_9223`

Counts

4 → 104

Calls

4 calls:

10.0ms	(-.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (/.f64 y (.f64 3 (sqrt.f64 x))))
8.0ms	(*.f64 (/.f64 1 x) 1/9)
6.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))

Compiler

Compiled 2255 to 1629 computations (27.8% saved)

series357.0ms (4.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

172.0ms	(-.f64 (-.f64 1 (.f64 (/.f64 1 x) 1/9)) (/.f64 y (.f64 3 (sqrt.f64 x))))
120.0ms	(/.f64 y (*.f64 3 (sqrt.f64 x)))
25.0ms	(*.f64 (/.f64 1 x) 1/9)
22.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 815 to 723 computations (11.3% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

518×	`associate-l_binary64_9226`
354×	`times-frac_binary64_9291`
334×	`associate-/l*_binary64_9230`
313×	`associate-*l/_binary64_9228`
250×	`associate-*r/_binary64_9227`
223×	`associate-/r*_binary64_9229`
190×	`distribute-rgt-in_binary64_9235`
177×	`distribute-lft-in_binary64_9234`
149×	`cancel-sign-sub-inv_binary64_9251`
144×	`distribute-rgt-neg-in_binary64_9243`
115×	`distribute-lft-neg-in_binary64_9242`
110×	`exp-prod_binary64_9337`
109×	`associate-/l/_binary64_9232`
101×	`*-commutative_binary64_9216`
84×	`distribute-neg-frac_binary64_9249`
68×	`sub-neg_binary64_9278`
62×	`associate-r_binary64_9225`
57×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280`
47×	`exp-sum_binary64_9331`
44×	`associate-/r/_binary64_9231`
42×	`distribute-lft-neg-out_binary64_9244`
33×	`cube-prod_binary64_9313`
32×	`+-commutative_binary64_9215`
30×	`log-div_binary64_9372`
29×	`log-prod_binary64_9371` `cube-div_binary64_9314` `sqr-pow_binary64_9257` `distribute-neg-in_binary64_9246`
23×	`distribute-rgt-neg-out_binary64_9245`
20×	`exp-diff_binary64_9333`
15×	`distribute-rgt-out_binary64_9238`
13×	`unpow3_binary64_9351`
11×	`exp-cbrt_binary64_9339` `unsub-neg_binary64_9279`
10×	`*-lft-identity_binary64_9274` `associate-+r+_binary64_9217`
9×	`div-sub_binary64_9290` `swap-sqr_binary64_9252` `associate-+r-_binary64_9219`
8×	`cube-unmult_binary64_9322` `*-rgt-identity_binary64_9275`
7×	`cube-mult_binary64_9315` `associate-+l+_binary64_9218`
6×	`distribute-rgt1-in_binary64_9241` `distribute-lft-out_binary64_9236`
5×	`+-rgt-identity_binary64_9270` `associate--r+_binary64_9221` `associate-+l-_binary64_9220`
4×	`div-exp_binary64_9336` `prod-exp_binary64_9334` `unswap-sqr_binary64_9253`
3×	`pow-plus_binary64_9348` `rem-sqrt-square_binary64_9298` `difference-of-squares_binary64_9254` `distribute-frac-neg_binary64_9248`
2×	`log-rec_binary64_9373` `unpow1/2_binary64_9349` `rem-square-sqrt_binary64_9297` `/-rgt-identity_binary64_9276` `sub0-neg_binary64_9272` `pow-sqr_binary64_9258` `distribute-neg-out_binary64_9247` `distribute-lft1-in_binary64_9240` `count-2_binary64_9233` `associate--l-_binary64_9223` `associate--l+_binary64_9222`
1×	`log-pow_binary64_9374` `exp-lft-cube_binary64_9341` `exp-neg_binary64_9332` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-3cbrt-lft_binary64_9310` `+-lft-identity_binary64_9269` `div0_binary64_9266` `cancel-sign-sub_binary64_9250`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9548` `erf-erfc_binary64_9547` `erf-odd_binary64_9546` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `not-gte_binary64_9537` `not-lte_binary64_9536` `not-gt_binary64_9535` `not-lt_binary64_9534` `gte-same_binary64_9533` `lte-same_binary64_9532` `gt-same_binary64_9531` `lt-same_binary64_9530` `sinh---cosh_binary64_9477` `sinh-+-cosh_binary64_9476` `sinh-cosh_binary64_9475` `tanh-def-c_binary64_9474` `tanh-def-b_binary64_9473` `tanh-def-a_binary64_9472` `cosh-def_binary64_9471` `sinh-def_binary64_9470` `tan-neg_binary64_9417` `cos-neg_binary64_9416` `sin-neg_binary64_9415` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `hang-m-tan_binary64_9411` `hang-p-tan_binary64_9410` `hang-m0-tan_binary64_9409` `hang-p0-tan_binary64_9408` `hang-0m-tan_binary64_9407` `hang-0p-tan_binary64_9406` `tan-+PI/2_binary64_9405` `tan-+PI_binary64_9404` `tan-PI_binary64_9403` `tan-PI/3_binary64_9402` `tan-PI/4_binary64_9401` `tan-PI/6_binary64_9400` `cos-+PI/2_binary64_9399` `cos-+PI_binary64_9398` `cos-PI_binary64_9397` `cos-PI/2_binary64_9396` `cos-PI/3_binary64_9395` `cos-PI/4_binary64_9394` `cos-PI/6_binary64_9393` `sin-+PI/2_binary64_9392` `sin-+PI_binary64_9391` `sin-PI_binary64_9390` `sin-PI/2_binary64_9389` `sin-PI/3_binary64_9388` `sin-PI/4_binary64_9387` `sin-PI/6_binary64_9386` `sub-1-sin_binary64_9385` `sub-1-cos_binary64_9384` `-1-add-sin_binary64_9383` `-1-add-cos_binary64_9382` `1-sub-sin_binary64_9381` `1-sub-cos_binary64_9380` `cos-sin-sum_binary64_9379` `log-E_binary64_9375` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow2_binary64_9350` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow1_binary64_9343` `unpow-1_binary64_9342` `exp-lft-sqr_binary64_9340` `exp-sqrt_binary64_9338` `rec-exp_binary64_9335` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `mul-1-neg_binary64_9277` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `*-inverses_binary64_9265` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `difference-of-sqr--1_binary64_9256` `difference-of-sqr-1_binary64_9255` `distribute-rgt-out--_binary64_9239` `distribute-lft-out--_binary64_9237` `associate--r-_binary64_9224`

Counts

125 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	1581
1	496	1506
2	1337	1491
3	4709	1491
4	4929	1491

prune99.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	9	94

Error

Counts

94 → 9

Compiler

Compiled 1533 to 1084 computations (29.3% saved)

regimes419.0ms (5.3%)

Accuracy

Total 0.2b remaining (97.1%)

Threshold costs 0.2b (97.1%)

Compiler

Compiled 3876 to 3471 computations (10.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280`
7×	`sub-neg_binary64_9278` `+-commutative_binary64_9215`
6×	`-rgt-identity_binary64_9275` `-commutative_binary64_9216`
5×	`distribute-rgt-neg-out_binary64_9245`
4×	`unsub-neg_binary64_9279` `*-lft-identity_binary64_9274` `distribute-neg-frac_binary64_9249` `distribute-lft-neg-out_binary64_9244` `distribute-rgt-neg-in_binary64_9243` `distribute-lft-neg-in_binary64_9242`
1×	`1-exp_binary64_9329`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_9545` `if-if-and_binary64_9544` `if-if-or-not_binary64_9543` `if-if-or_binary64_9542` `if-not_binary64_9541` `if-same_binary64_9540` `if-false_binary64_9539` `if-true_binary64_9538` `tan-0_binary64_9414` `cos-0_binary64_9413` `sin-0_binary64_9412` `unpow1_binary64_9343` `e-exp-1_binary64_9330` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `mul-1-neg_binary64_9277` `/-rgt-identity_binary64_9276` `remove-double-neg_binary64_9273` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `+-rgt-identity_binary64_9270` `+-lft-identity_binary64_9269` `cancel-sign-sub-inv_binary64_9251` `cancel-sign-sub_binary64_9250` `distribute-frac-neg_binary64_9248` `distribute-neg-out_binary64_9247` `distribute-neg-in_binary64_9246`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	20	21
2	31	21
3	41	21
4	49	21
5	53	21
6	72	21
7	71	21
8	69	21

end0.0ms (0%)

sample1.9s (23.8%)

Algorithm

1×

intervals

Results

355.0ms	8000×	body	128	valid
4.0ms	97×	body	128	invalid

Compiler

Compiled 1299 to 1163 computations (10.5% saved)

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18

Details

analyze375.0ms (4.8%)

sample21.0ms (0.3%)

simplify32.0ms (0.4%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

rewrite200.0ms (2.5%)

series355.0ms (4.5%)

simplify66.0ms (0.8%)

prune110.0ms (1.4%)

localize14.0ms (0.2%)

rewrite1.2s (14.7%)

series349.0ms (4.4%)

simplify502.0ms (6.4%)

prune771.0ms (9.8%)

localize9.0ms (0.1%)

rewrite215.0ms (2.7%)

series448.0ms (5.7%)

simplify108.0ms (1.4%)

prune100.0ms (1.3%)

localize9.0ms (0.1%)

rewrite182.0ms (2.3%)

series357.0ms (4.5%)

simplify93.0ms (1.2%)

prune99.0ms (1.3%)

regimes419.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (23.8%)

Profiling

Iter	Nodes	Cost
0	13	21
1	27	18
2	56	18
3	109	18
4	186	18
5	293	18
6	510	18
7	623	18
8	589	18
9	587	18
10	590	18
11	497	18