Details

analyze748.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

505×	`associate-l_binary64_9226`
463×	`div-sub_binary64_9290`
424×	`associate-r_binary64_9225`
400×	`times-frac_binary64_9291`
375×	`associate-/l*_binary64_9230`
298×	`associate-/l/_binary64_9232`
256×	`associate-/r*_binary64_9229`
235×	`associate-/r/_binary64_9231`
212×	`unswap-sqr_binary64_9253`
135×	`exp-sum_binary64_9331`
116×	`exp-prod_binary64_9337`
100×	`sqr-pow_binary64_9257`
97×	`distribute-rgt-in_binary64_9235`
73×	`associate-*r/_binary64_9227`
69×	`distribute-lft-in_binary64_9234`
68×	`sub-neg_binary64_9278`
67×	`log-prod_binary64_9371`
52×	`pow-sqr_binary64_9258`
51×	`exp-diff_binary64_9333`
50×	`*-commutative_binary64_9216`
39×	`associate-*l/_binary64_9228`
34×	`log-div_binary64_9372`
30×	`neg-mul-1_binary64_9281`
28×	`distribute-frac-neg_binary64_9248`
27×	`exp-neg_binary64_9332`
26×	`neg-sub0_binary64_9280`
25×	`distribute-rgt-neg-out_binary64_9245`
24×	`cube-prod_binary64_9313`
20×	`div-exp_binary64_9336` `cancel-sign-sub-inv_binary64_9251`
18×	`pow-plus_binary64_9348`
17×	`exp-to-pow_binary64_9347` `cube-unmult_binary64_9322`
16×	`unsub-neg_binary64_9279`
15×	`distribute-lft-neg-out_binary64_9244`
14×	`/-rgt-identity_binary64_9276`
12×	`+-commutative_binary64_9215`
10×	`log-pow_binary64_9374` `distribute-lft-neg-in_binary64_9242` `associate--r+_binary64_9221`
9×	`sub0-neg_binary64_9272` `distribute-rgt-neg-in_binary64_9243`
8×	`associate-+l-_binary64_9220`
7×	`log-rec_binary64_9373` `associate-+r-_binary64_9219`
6×	`exp-sqrt_binary64_9338` `rem-exp-log_binary64_9325` `distribute-neg-frac_binary64_9249` `distribute-neg-in_binary64_9246`
5×	`exp-lft-sqr_binary64_9340`
4×	`rec-exp_binary64_9335` `prod-exp_binary64_9334` `+-rgt-identity_binary64_9270` `distribute-neg-out_binary64_9247` `associate--l+_binary64_9222`
3×	`--rgt-identity_binary64_9271`
2×	`unpow3_binary64_9351` `unpow2_binary64_9350` `unpow-1_binary64_9342` `remove-double-neg_binary64_9273` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `cancel-sign-sub_binary64_9250` `distribute-rgt-out--_binary64_9239` `associate--l-_binary64_9223` `associate-+l+_binary64_9218` `associate-+r+_binary64_9217`
1×	`1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-log-exp_binary64_9326` `*-lft-identity_binary64_9274` `+-lft-identity_binary64_9269` `distribute-rgt-out_binary64_9238` `count-2_binary64_9233`
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` `unpow1/2_binary64_9349` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow1_binary64_9343` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `cube-mult_binary64_9315` `cube-div_binary64_9314` `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` `mul-1-neg_binary64_9277` `-rgt-identity_binary64_9275` `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` `difference-of-squares_binary64_9254` `swap-sqr_binary64_9252` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240` `distribute-lft-out--_binary64_9237` `distribute-lft-out_binary64_9236` `associate--r-_binary64_9224`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	26	26
2	42	26
3	91	26
4	198	26
5	484	26
6	1180	26
7	4115	26
8	4996	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample60.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	47×	body	1024	valid
9.0ms	156×	body	128	valid
6.0ms	25×	body	512	valid
6.0ms	8×	body	2048	valid
4.0ms	13×	body	1024	invalid
3.0ms	20×	body	256	valid
1.0ms	6×	body	512	invalid
1.0ms	4×	body	256	invalid
0.0ms	8×	body	128	invalid
0.0ms	6×	body	128	nan

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64_9253`
270×	`div-sub_binary64_9290`
256×	`associate-l_binary64_9226`
244×	`distribute-rgt-in_binary64_9235`
216×	`associate-r_binary64_9225`
203×	`distribute-lft-in_binary64_9234`
200×	`times-frac_binary64_9291`
193×	`associate-/l*_binary64_9230`
181×	`exp-prod_binary64_9337`
153×	`associate-/l/_binary64_9232`
130×	`exp-diff_binary64_9333`
128×	`associate-/r*_binary64_9229`
124×	`log-div_binary64_9372`
118×	`associate-/r/_binary64_9231`
100×	`distribute-frac-neg_binary64_9248`
93×	`log-pow_binary64_9374`
87×	`sqr-pow_binary64_9257`
85×	`sub-neg_binary64_9278` `distribute-rgt-neg-out_binary64_9245`
84×	`log-prod_binary64_9371`
83×	`exp-sum_binary64_9331`
65×	`*-commutative_binary64_9216`
60×	`unsub-neg_binary64_9279` `distribute-lft-neg-out_binary64_9244`
43×	`exp-to-pow_binary64_9347` `neg-mul-1_binary64_9281`
41×	`pow-sqr_binary64_9258`
39×	`/-rgt-identity_binary64_9276`
38×	`cancel-sign-sub-inv_binary64_9251` `associate-*r/_binary64_9227`
37×	`neg-sub0_binary64_9280`
34×	`distribute-neg-in_binary64_9246`
25×	`log-rec_binary64_9373`
24×	`distribute-neg-frac_binary64_9249`
22×	`associate-*l/_binary64_9228`
21×	`distribute-rgt-neg-in_binary64_9243`
20×	`distribute-neg-out_binary64_9247` `+-commutative_binary64_9215`
18×	`pow-plus_binary64_9348` `*-lft-identity_binary64_9274`
17×	`associate--r+_binary64_9221`
16×	`exp-sqrt_binary64_9338` `distribute-lft-neg-in_binary64_9242`
15×	`exp-lft-sqr_binary64_9340`
14×	`associate--l+_binary64_9222`
13×	`cancel-sign-sub_binary64_9250`
12×	`unpow3_binary64_9351` `div-exp_binary64_9336` `exp-neg_binary64_9332` `cube-prod_binary64_9313`
11×	`*-rgt-identity_binary64_9275` `distribute-lft-out_binary64_9236` `associate-+l-_binary64_9220` `associate-+r-_binary64_9219`
10×	`distribute-rgt-out_binary64_9238` `associate-+r+_binary64_9217`
9×	`cube-unmult_binary64_9322`
8×	`sub0-neg_binary64_9272`
7×	`prod-exp_binary64_9334` `distribute-lft-out--_binary64_9237`
6×	`associate--l-_binary64_9223`
5×	`remove-double-neg_binary64_9273` `+-lft-identity_binary64_9269` `associate-+l+_binary64_9218`
4×	`rec-exp_binary64_9335` `rem-exp-log_binary64_9325` `distribute-rgt-out--_binary64_9239`
3×	`unpow2_binary64_9350` `--rgt-identity_binary64_9271` `+-rgt-identity_binary64_9270`
2×	`remove-double-div_binary64_9261` `associate--r-_binary64_9224`
1×	`log-E_binary64_9375` `unpow1/2_binary64_9349` `unpow1_binary64_9343` `unpow-1_binary64_9342` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-log-exp_binary64_9326` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `count-2_binary64_9233`
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` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `cube-mult_binary64_9315` `cube-div_binary64_9314` `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` `mul-1-neg_binary64_9277` `div0_binary64_9266` `*-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` `swap-sqr_binary64_9252` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	16	13
2	25	13
3	53	13
4	113	13
5	269	13
6	654	13
7	2232	13
8	4517	13
9	4853	13
10	4941	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.7b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
0.0b	(/.f64 x (+.f64 x y))
7.3b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite200.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

1.3b

Rules

138×	`times-frac_binary64_9291`
118×	`*-un-lft-identity_binary64_9285`
90×	`unpow-prod-down_binary64_9364`
80×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
25×	`associate-/l*_binary64_9230`
19×	`distribute-lft-out_binary64_9236`
16×	`add-exp-log_binary64_9323`
12×	`associate-/r/_binary64_9231`
7×	`div-inv_binary64_9282` `div-exp_binary64_9336` `add-cbrt-cube_binary64_9321` `associate-/r*_binary64_9229`
6×	`flip3-+_binary64_9288` `flip-+_binary64_9259`
5×	`sqr-pow_binary64_9257`
4×	`pow1_binary64_9346` `pow-exp_binary64_9353`
3×	`pow-unpow_binary64_9362` `add-log-exp_binary64_9324`
2×	`pow-to-exp_binary64_9354` `cbrt-undiv_binary64_9319` `frac-2neg_binary64_9296` `clear-num_binary64_9284`
1×	`pow-pow_binary64_9357`

Counts

3 → 172

Calls

3 calls:

12.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
5.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 3460 to 784 computations (77.3% saved)

series427.0ms (4.8%)

Error

0.0b

Counts

3 → 35

Calls

3 calls:

173.0ms	(/.f64 (pow.f64 (/.f64 x (+.f64 x y)) x) x)
133.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
87.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 1316 to 951 computations (27.7% saved)

simplify197.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

607×	`associate-/r*_binary64_9229`
451×	`associate-/l/_binary64_9232` `associate-/r/_binary64_9231`
203×	`associate-/l*_binary64_9230`
156×	`times-frac_binary64_9291`
146×	`sqr-pow_binary64_9257`
101×	`distribute-rgt-in_binary64_9235`
91×	`sub-neg_binary64_9278`
86×	`cancel-sign-sub-inv_binary64_9251`
84×	`distribute-lft-in_binary64_9234`
80×	`exp-prod_binary64_9337`
78×	`exp-sum_binary64_9331`
66×	`/-rgt-identity_binary64_9276`
61×	`pow-sqr_binary64_9258`
57×	`log-div_binary64_9372` `log-prod_binary64_9371`
54×	`+-commutative_binary64_9215`
44×	`distribute-neg-in_binary64_9246`
42×	`cube-div_binary64_9314` `associate-r_binary64_9225`
38×	`unswap-sqr_binary64_9253`
36×	`associate-l_binary64_9226`
35×	`-rgt-identity_binary64_9275` `associate-l/_binary64_9228`
32×	`*-commutative_binary64_9216`
31×	`associate--l+_binary64_9222` `associate-+l+_binary64_9218`
29×	`distribute-rgt-neg-in_binary64_9243`
27×	`unsub-neg_binary64_9279`
26×	`log-pow_binary64_9374` `associate-*r/_binary64_9227`
25×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280` `distribute-rgt-out_binary64_9238` `associate-+r+_binary64_9217`
24×	`distribute-lft-neg-in_binary64_9242`
21×	`distribute-neg-frac_binary64_9249`
19×	`associate--r+_binary64_9221`
15×	`exp-diff_binary64_9333`
14×	`log-rec_binary64_9373` `unpow3_binary64_9351`
13×	`cube-unmult_binary64_9322`
11×	`exp-neg_binary64_9332`
10×	`*-lft-identity_binary64_9274`
9×	`distribute-lft-neg-out_binary64_9244`
8×	`exp-to-pow_binary64_9347` `cube-mult_binary64_9315` `cube-prod_binary64_9313` `distribute-rgt-out--_binary64_9239`
6×	`rem-exp-log_binary64_9325` `div-sub_binary64_9290` `distribute-rgt1-in_binary64_9241` `associate-+r-_binary64_9219`
5×	`pow-plus_binary64_9348` `swap-sqr_binary64_9252` `distribute-rgt-neg-out_binary64_9245`
4×	`unpow1/2_binary64_9349` `pow-base-1_binary64_9345` `difference-of-squares_binary64_9254` `associate-+l-_binary64_9220`
3×	`unpow1_binary64_9343` `rem-sqrt-square_binary64_9298` `+-rgt-identity_binary64_9270`
2×	`unpow2_binary64_9350` `distribute-frac-neg_binary64_9248` `distribute-lft1-in_binary64_9240` `count-2_binary64_9233`
1×	`1-exp_binary64_9329` `exp-1-e_binary64_9328` `sub0-neg_binary64_9272` `distribute-lft-out--_binary64_9237`
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` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `div-exp_binary64_9336` `rec-exp_binary64_9335` `prod-exp_binary64_9334` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `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-square-sqrt_binary64_9297` `mul-1-neg_binary64_9277` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `+-lft-identity_binary64_9269` `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-neg-out_binary64_9247` `distribute-lft-out_binary64_9236` `associate--r-_binary64_9224` `associate--l-_binary64_9223`

Counts

207 → 94

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	305	4514
1	598	4395
2	2160	4341
3	4656	4329
4	4982	4329
5	4955	4329

prune96.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Error

0.7b

Counts

95 → 8

Compiler

Compiled 1766 to 506 computations (71.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
2.6b	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)

rewrite219.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

61×	`unpow-prod-down_binary64_9364`
51×	`cbrt-prod_binary64_9316`
48×	`*-un-lft-identity_binary64_9285`
43×	`times-frac_binary64_9291`
36×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
20×	`add-exp-log_binary64_9323`
14×	`cbrt-div_binary64_9317`
10×	`associate-/r/_binary64_9231`
7×	`flip3-+_binary64_9288` `flip-+_binary64_9259` `pow-exp_binary64_9353`
6×	`pow-unpow_binary64_9362` `pow1_binary64_9346` `distribute-lft-out_binary64_9236`
5×	`div-exp_binary64_9336`
4×	`frac-times_binary64_9295` `prod-exp_binary64_9334` `add-log-exp_binary64_9324` `add-cbrt-cube_binary64_9321`
2×	`div-inv_binary64_9282` `associate-l/_binary64_9228` `associate-r/_binary64_9227` `pow-pow_binary64_9357` `pow-to-exp_binary64_9354` `sqr-pow_binary64_9257` `pow1/3_binary64_9367`

Counts

4 → 116

Calls

4 calls:

17.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
12.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 4617 to 717 computations (84.5% saved)

series608.0ms (6.8%)

Error

0.5b

Counts

4 → 21

Calls

4 calls:

194.0ms	(pow.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) x)
147.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
123.0ms	(cbrt.f64 x)
117.0ms	(cbrt.f64 x)

Compiler

Compiled 1876 to 1053 computations (43.9% saved)

simplify226.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

400×	`sqr-pow_binary64_9257`
369×	`pow-sqr_binary64_9258`
300×	`log-prod_binary64_9371`
243×	`exp-sum_binary64_9331`
222×	`*-commutative_binary64_9216`
206×	`exp-prod_binary64_9337`
187×	`associate-/l*_binary64_9230`
157×	`associate-/r*_binary64_9229`
150×	`times-frac_binary64_9291`
148×	`log-pow_binary64_9374`
145×	`distribute-rgt-in_binary64_9235`
137×	`distribute-lft-in_binary64_9234`
132×	`log-div_binary64_9372`
114×	`sub-neg_binary64_9278`
97×	`unswap-sqr_binary64_9253`
85×	`unsub-neg_binary64_9279`
80×	`associate-/l/_binary64_9232`
62×	`associate-r_binary64_9225`
60×	`associate-/r/_binary64_9231` `associate-l_binary64_9226`
56×	`cancel-sign-sub-inv_binary64_9251`
51×	`associate-*r/_binary64_9227`
49×	`neg-sub0_binary64_9280` `associate-+r+_binary64_9217`
48×	`neg-mul-1_binary64_9281`
47×	`associate-+l+_binary64_9218`
43×	`associate-*l/_binary64_9228`
42×	`*-rgt-identity_binary64_9275`
41×	`exp-diff_binary64_9333`
37×	`cube-prod_binary64_9313` `+-commutative_binary64_9215`
35×	`div-sub_binary64_9290`
34×	`exp-to-pow_binary64_9347`
31×	`distribute-rgt-neg-in_binary64_9243`
29×	`*-lft-identity_binary64_9274`
28×	`distribute-lft-neg-in_binary64_9242`
27×	`unpow1/3_binary64_9352`
24×	`unpow3_binary64_9351` `associate-+r-_binary64_9219`
20×	`pow-plus_binary64_9348`
18×	`associate-+l-_binary64_9220`
16×	`cube-unmult_binary64_9322` `distribute-lft-neg-out_binary64_9244` `distribute-rgt-out_binary64_9238`
14×	`distribute-rgt-neg-out_binary64_9245`
13×	`rem-sqrt-square_binary64_9298` `+-rgt-identity_binary64_9270` `associate--l+_binary64_9222`
12×	`log-rec_binary64_9373` `exp-neg_binary64_9332`
11×	`/-rgt-identity_binary64_9276`
10×	`associate--r+_binary64_9221`
7×	`exp-lft-sqr_binary64_9340` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `sub0-neg_binary64_9272` `difference-of-squares_binary64_9254` `count-2_binary64_9233`
6×	`unpow1/2_binary64_9349` `unpow1_binary64_9343` `swap-sqr_binary64_9252`
5×	`cube-mult_binary64_9315` `distribute-rgt-out--_binary64_9239`
4×	`unpow2_binary64_9350` `pow-base-1_binary64_9345` `distribute-lft-out--_binary64_9237`
3×	`prod-exp_binary64_9334`
2×	`distribute-neg-in_binary64_9246` `distribute-rgt1-in_binary64_9241`
1×	`log-E_binary64_9375` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-3cbrt-lft_binary64_9310` `mul-1-neg_binary64_9277` `div0_binary64_9266` `*-inverses_binary64_9265` `distribute-frac-neg_binary64_9248`
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` `pow-base-0_binary64_9369` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `div-exp_binary64_9336` `rec-exp_binary64_9335` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `cube-div_binary64_9314` `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` `rem-square-sqrt_binary64_9297` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `+-lft-identity_binary64_9269` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `+-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-neg-frac_binary64_9249` `distribute-neg-out_binary64_9247` `distribute-lft1-in_binary64_9240` `distribute-lft-out_binary64_9236` `associate--r-_binary64_9224` `associate--l-_binary64_9223`

Counts

137 → 73

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	3510
1	674	3147
2	1621	3130
3	3835	3110
4	4677	3110
5	4964	3110
6	4997	3110
7	4909	3110

prune109.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	76	5	81

Error

0.5b

Counts

81 → 5

Compiler

Compiled 2528 to 573 computations (77.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.4b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
3.5b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))

rewrite260.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

96×	`cbrt-prod_binary64_9316`
85×	`*-un-lft-identity_binary64_9285`
84×	`times-frac_binary64_9291`
61×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
48×	`log-prod_binary64_9371` `unpow-prod-down_binary64_9364`
12×	`distribute-lft-out_binary64_9236`
10×	`add-exp-log_binary64_9323`
6×	`pow1_binary64_9346`
4×	`cbrt-div_binary64_9317` `associate-/r/_binary64_9231` `add-log-exp_binary64_9324` `add-cbrt-cube_binary64_9321`
3×	`pow-unpow_binary64_9362`
2×	`div-inv_binary64_9282` `flip3-+_binary64_9288` `flip-+_binary64_9259` `div-exp_binary64_9336` `rem-log-exp_binary64_9326` `pow-exp_binary64_9353` `pow1/3_binary64_9367`
1×	`log-pow_binary64_9374` `log-div_binary64_9372` `pow-pow_binary64_9357` `pow-to-exp_binary64_9354` `sqr-pow_binary64_9257`

Counts

4 → 144

Calls

4 calls:

13.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
9.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 5129 to 1374 computations (73.2% saved)

series571.0ms (6.4%)

Error

0.5b

Counts

4 → 23

Calls

4 calls:

162.0ms	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))))
150.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
116.0ms	(cbrt.f64 x)
112.0ms	(cbrt.f64 x)

Compiler

Compiled 1911 to 1263 computations (33.9% saved)

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

402×	`associate-l_binary64_9226`
389×	`associate-r_binary64_9225`
342×	`times-frac_binary64_9291`
293×	`sqr-pow_binary64_9257`
255×	`exp-prod_binary64_9337`
251×	`associate-/r*_binary64_9229`
222×	`log-prod_binary64_9371`
202×	`log-div_binary64_9372`
199×	`associate-/l*_binary64_9230`
130×	`pow-sqr_binary64_9258`
126×	`sub-neg_binary64_9278`
79×	`distribute-rgt-in_binary64_9235`
75×	`unswap-sqr_binary64_9253`
71×	`distribute-lft-in_binary64_9234`
60×	`cancel-sign-sub-inv_binary64_9251`
55×	`associate-/l/_binary64_9232`
44×	`associate-/r/_binary64_9231`
43×	`log-pow_binary64_9374`
37×	`distribute-rgt-neg-in_binary64_9243`
34×	`distribute-lft-neg-in_binary64_9242`
33×	`associate-*r/_binary64_9227`
31×	`associate-*l/_binary64_9228` `associate--l-_binary64_9223`
28×	`*-commutative_binary64_9216`
25×	`exp-sum_binary64_9331`
24×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280`
19×	`cube-prod_binary64_9313`
17×	`pow-plus_binary64_9348`
15×	`unpow1/3_binary64_9352`
14×	`exp-to-pow_binary64_9347` `div-sub_binary64_9290` `+-commutative_binary64_9215`
13×	`*-rgt-identity_binary64_9275`
12×	`log-rec_binary64_9373` `distribute-neg-frac_binary64_9249`
11×	`/-rgt-identity_binary64_9276`
10×	`count-2_binary64_9233` `associate--r-_binary64_9224`
9×	`exp-diff_binary64_9333` `distribute-lft-neg-out_binary64_9244`
8×	`unpow3_binary64_9351`
7×	`cube-unmult_binary64_9322` `difference-of-squares_binary64_9254` `swap-sqr_binary64_9252` `distribute-rgt-neg-out_binary64_9245` `distribute-rgt-out--_binary64_9239`
6×	`rem-sqrt-square_binary64_9298` `*-lft-identity_binary64_9274` `+-lft-identity_binary64_9269`
5×	`distribute-frac-neg_binary64_9248` `distribute-rgt-out_binary64_9238`
4×	`pow-base-1_binary64_9345` `unsub-neg_binary64_9279` `associate-+l+_binary64_9218`
3×	`unpow1/2_binary64_9349` `unpow1_binary64_9343` `exp-neg_binary64_9332` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `associate-+l-_binary64_9220` `associate-+r-_binary64_9219`
2×	`unpow2_binary64_9350` `cube-mult_binary64_9315` `distribute-neg-out_binary64_9247` `distribute-lft-out--_binary64_9237` `associate--l+_binary64_9222`
1×	`1-exp_binary64_9329` `rem-3cbrt-lft_binary64_9310` `mul-1-neg_binary64_9277` `sub0-neg_binary64_9272` `+-rgt-identity_binary64_9270` `div0_binary64_9266` `*-inverses_binary64_9265` `+-inverses_binary64_9264` `distribute-rgt1-in_binary64_9241` `distribute-lft-out_binary64_9236` `associate-+r+_binary64_9217`
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` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `exp-sqrt_binary64_9338` `div-exp_binary64_9336` `rec-exp_binary64_9335` `prod-exp_binary64_9334` `e-exp-1_binary64_9330` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `cube-div_binary64_9314` `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` `rem-square-sqrt_binary64_9297` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `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-neg-in_binary64_9246` `distribute-lft1-in_binary64_9240` `associate--r+_binary64_9221`

Counts

167 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	4036
1	608	3883
2	1488	3823
3	4518	3818
4	5071	3818

prune118.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Error

0.5b

Counts

87 → 5

Compiler

Compiled 2693 to 871 computations (67.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 x)
1.4b	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)

rewrite244.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

104×	`cbrt-prod_binary64_9316`
92×	`*-un-lft-identity_binary64_9285`
84×	`times-frac_binary64_9291`
64×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307`
48×	`unpow-prod-down_binary64_9364`
14×	`distribute-lft-out_binary64_9236`
9×	`add-exp-log_binary64_9323`
7×	`associate-/r*_binary64_9229`
6×	`cbrt-div_binary64_9317` `associate-/l*_binary64_9230`
5×	`pow1_binary64_9346`
4×	`associate-/r/_binary64_9231` `add-log-exp_binary64_9324` `add-cbrt-cube_binary64_9321`
3×	`flip3-+_binary64_9288` `flip-+_binary64_9259` `pow-unpow_binary64_9362`
2×	`div-inv_binary64_9282` `div-exp_binary64_9336` `pow-exp_binary64_9353` `pow1/3_binary64_9367`
1×	`pow-pow_binary64_9357` `pow-to-exp_binary64_9354` `sqr-pow_binary64_9257` `cbrt-undiv_binary64_9319` `frac-2neg_binary64_9296` `clear-num_binary64_9284`

Counts

4 → 157

Calls

4 calls:

12.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
8.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 4083 to 1432 computations (64.9% saved)

series511.0ms (5.7%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

143.0ms	(pow.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y))) x)
124.0ms	(cbrt.f64 x)
121.0ms	(cbrt.f64 (+.f64 x y))
86.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x y)))

Compiler

Compiled 1709 to 1353 computations (20.8% saved)

simplify235.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

810×	`times-frac_binary64_9291`
366×	`associate-/l*_binary64_9230`
309×	`sqr-pow_binary64_9257`
207×	`log-prod_binary64_9371`
132×	`pow-sqr_binary64_9258`
127×	`log-div_binary64_9372`
126×	`exp-prod_binary64_9337` `associate-/r/_binary64_9231`
121×	`exp-sum_binary64_9331`
118×	`unswap-sqr_binary64_9253`
111×	`associate-/l/_binary64_9232`
85×	`cancel-sign-sub-inv_binary64_9251`
76×	`distribute-rgt-in_binary64_9235`
74×	`log-pow_binary64_9374`
69×	`distribute-lft-in_binary64_9234`
66×	`associate-r_binary64_9225`
60×	`sub-neg_binary64_9278`
56×	`associate-l_binary64_9226`
49×	`distribute-rgt-neg-in_binary64_9243`
45×	`distribute-lft-neg-in_binary64_9242`
43×	`*-commutative_binary64_9216`
39×	`associate-/r*_binary64_9229`
31×	`+-commutative_binary64_9215`
29×	`cube-div_binary64_9314`
26×	`distribute-neg-in_binary64_9246`
24×	`exp-diff_binary64_9333`
23×	`neg-sub0_binary64_9280`
22×	`neg-mul-1_binary64_9281`
20×	`log-rec_binary64_9373` `unpow1/3_binary64_9352` `distribute-neg-frac_binary64_9249`
19×	`cube-unmult_binary64_9322`
18×	`unpow3_binary64_9351` `cube-prod_binary64_9313`
16×	`/-rgt-identity_binary64_9276` `*-rgt-identity_binary64_9275`
14×	`associate-*l/_binary64_9228`
13×	`associate--l+_binary64_9222`
12×	`pow-plus_binary64_9348` `exp-to-pow_binary64_9347` `associate-+l+_binary64_9218`
10×	`exp-neg_binary64_9332` `distribute-lft-neg-out_binary64_9244` `associate-*r/_binary64_9227` `associate-+r+_binary64_9217`
9×	`div-sub_binary64_9290` `unsub-neg_binary64_9279` `associate--r+_binary64_9221`
8×	`rem-exp-log_binary64_9325`
7×	`cube-mult_binary64_9315` `*-lft-identity_binary64_9274` `difference-of-squares_binary64_9254` `distribute-rgt-neg-out_binary64_9245`
6×	`rem-sqrt-square_binary64_9298` `swap-sqr_binary64_9252` `distribute-rgt-out--_binary64_9239` `distribute-rgt-out_binary64_9238`
4×	`pow-base-1_binary64_9345` `distribute-frac-neg_binary64_9248`
3×	`unpow1/2_binary64_9349` `unpow1_binary64_9343` `rem-log-exp_binary64_9326` `distribute-lft-out--_binary64_9237` `count-2_binary64_9233` `associate-+l-_binary64_9220` `associate-+r-_binary64_9219`
2×	`unpow2_binary64_9350` `rem-3cbrt-lft_binary64_9310` `distribute-lft-out_binary64_9236` `associate--r-_binary64_9224`
1×	`log-E_binary64_9375` `exp-sqrt_binary64_9338` `rec-exp_binary64_9335` `prod-exp_binary64_9334` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `mul-1-neg_binary64_9277` `+-rgt-identity_binary64_9270` `*-inverses_binary64_9265` `+-inverses_binary64_9264`
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` `pow-base-0_binary64_9369` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-lft-sqr_binary64_9340` `exp-cbrt_binary64_9339` `div-exp_binary64_9336` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `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` `rem-square-sqrt_binary64_9297` `remove-double-neg_binary64_9273` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `+-lft-identity_binary64_9269` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `div0_binary64_9266` `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-neg-out_binary64_9247` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240` `associate--l-_binary64_9223`

Counts

185 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	260	4105
1	579	3969
2	1619	3932
3	4497	3908
4	4804	3908
5	4978	3908
6	4920	3908

prune196.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	159	5	164

Error

0.0b

Counts

164 → 5

Compiler

Compiled 3939 to 1447 computations (63.3% saved)

regimes675.0ms (7.6%)

Accuracy

Total 0.0b remaining (75.7%)

Threshold costs 0.0b (75.7%)

Compiler

Compiled 3728 to 2214 computations (40.6% saved)

bsearch84.0ms (0.9%)

Steps

Iters	Range		Point
8	0.6159760898815659	1836.2412844496482	12.72001860247021
9	-8353822410.376803	-21663.55852704925	-254452.10298894925

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_9216` `+-commutative_binary64_9215`
1×	`if-if-or-not_binary64_9543` `neg-mul-1_binary64_9281` `neg-sub0_binary64_9280` `sub-neg_binary64_9278`
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_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` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `exp-0_binary64_9327` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `unsub-neg_binary64_9279` `mul-1-neg_binary64_9277` `/-rgt-identity_binary64_9276` `-rgt-identity_binary64_9275` `-lft-identity_binary64_9274` `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-neg-frac_binary64_9249` `distribute-frac-neg_binary64_9248` `distribute-neg-out_binary64_9247` `distribute-neg-in_binary64_9246` `distribute-rgt-neg-out_binary64_9245` `distribute-lft-neg-out_binary64_9244` `distribute-rgt-neg-in_binary64_9243` `distribute-lft-neg-in_binary64_9242`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	30	71
2	32	71
3	33	71
4	33	71

end0.0ms (0%)

sample2.9s (32.1%)

Algorithm

1×

intervals

Results

619.0ms	1675×	body	1024	valid
267.0ms	4581×	body	128	valid
223.0ms	985×	body	512	valid
116.0ms	181×	body	2048	valid
79.0ms	578×	body	256	valid
54.0ms	232×	body	512	invalid
54.0ms	156×	body	1024	invalid
18.0ms	140×	body	256	invalid
17.0ms	223×	body	128	invalid
7.0ms	179×	body	128	nan

Compiler

Compiled 1335 to 786 computations (41.1% saved)

Details

analyze748.0ms (8.4%)

sample60.0ms (0.7%)

simplify71.0ms (0.8%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite200.0ms (2.2%)

series427.0ms (4.8%)

simplify197.0ms (2.2%)

prune96.0ms (1.1%)

localize15.0ms (0.2%)

rewrite219.0ms (2.4%)

series608.0ms (6.8%)

simplify226.0ms (2.5%)

prune109.0ms (1.2%)

localize15.0ms (0.2%)

rewrite260.0ms (2.9%)

series571.0ms (6.4%)

simplify157.0ms (1.8%)

prune118.0ms (1.3%)

localize15.0ms (0.2%)

rewrite244.0ms (2.7%)

series511.0ms (5.7%)

simplify235.0ms (2.6%)

prune196.0ms (2.2%)

regimes675.0ms (7.6%)

bsearch84.0ms (0.9%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.9s (32.1%)

Profiling