Details

analyze305.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

18×	`*-commutative_binary64_9216`
12×	`associate-l_binary64_9226` `associate-r_binary64_9225`
8×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234`
4×	`+-commutative_binary64_9215`
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` `times-frac_binary64_9291` `div-sub_binary64_9290` `neg-mul-1_binary64_9281` `neg-sub0_binary64_9280` `unsub-neg_binary64_9279` `sub-neg_binary64_9278` `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` `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` `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-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` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240` `distribute-rgt-out--_binary64_9239` `distribute-rgt-out_binary64_9238` `distribute-lft-out--_binary64_9237` `distribute-lft-out_binary64_9236` `count-2_binary64_9233` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231` `associate-/l_binary64_9230` `associate-/r_binary64_9229` `associate-l/_binary64_9228` `associate-*r/_binary64_9227` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--l+_binary64_9222` `associate--r+_binary64_9221` `associate-+l-_binary64_9220` `associate-+r-_binary64_9219` `associate-+l+_binary64_9218` `associate-+r+_binary64_9217`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	48
1	59	48
2	81	48
3	81	48
4	79	48
0	3	3
1	3	3

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	34×	body	128	nan
1.0ms	16×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_9216`
2×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `associate-l_binary64_9226` `associate-r_binary64_9225`
1×	`1-exp_binary64_9329` `+-commutative_binary64_9215`
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` `times-frac_binary64_9291` `div-sub_binary64_9290` `neg-mul-1_binary64_9281` `neg-sub0_binary64_9280` `unsub-neg_binary64_9279` `sub-neg_binary64_9278` `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` `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` `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-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` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240` `distribute-rgt-out--_binary64_9239` `distribute-rgt-out_binary64_9238` `distribute-lft-out--_binary64_9237` `distribute-lft-out_binary64_9236` `count-2_binary64_9233` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231` `associate-/l_binary64_9230` `associate-/r_binary64_9229` `associate-l/_binary64_9228` `associate-*r/_binary64_9227` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--l+_binary64_9222` `associate--r+_binary64_9221` `associate-+l-_binary64_9220` `associate-+r-_binary64_9219` `associate-+l+_binary64_9218` `associate-+r+_binary64_9217`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	23	12
2	31	12
3	31	12
4	29	12

prune4.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (sqrt.f64 z)))
0.2b	(*.f64 y (sqrt.f64 z))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_9307`
6×	`associate-r_binary64_9225`
5×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
4×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-log-exp_binary64_9324` `add-cbrt-cube_binary64_9321` `sqrt-prod_binary64_9301`
3×	`associate-l_binary64_9226`
2×	`unswap-sqr_binary64_9253`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `*-commutative_binary64_9216` `sum-log_binary64_9376` `flip3-+_binary64_9288` `flip-+_binary64_9259` `+-commutative_binary64_9215`

Counts

2 → 33

Calls

2 calls:

6.0ms	(*.f64 y (sqrt.f64 z))
3.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))

Compiler

Compiled 473 to 185 computations (60.9% saved)

series225.0ms (4.6%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

140.0ms	(+.f64 x (*.f64 y (sqrt.f64 z)))
74.0ms	(*.f64 y (sqrt.f64 z))

Compiler

Compiled 438 to 359 computations (18% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

548×	`distribute-rgt-in_binary64_9235`
546×	`unsub-neg_binary64_9279`
457×	`distribute-lft-in_binary64_9234`
315×	`distribute-neg-out_binary64_9247`
291×	`sub-neg_binary64_9278`
274×	`distribute-rgt-out_binary64_9238`
252×	`unswap-sqr_binary64_9253`
215×	`*-commutative_binary64_9216`
180×	`associate-l_binary64_9226`
135×	`associate-r_binary64_9225`
131×	`+-commutative_binary64_9215`
122×	`associate-+l-_binary64_9220`
117×	`neg-mul-1_binary64_9281`
114×	`sqr-pow_binary64_9257`
103×	`neg-sub0_binary64_9280` `associate--r+_binary64_9221`
101×	`cancel-sign-sub-inv_binary64_9251`
99×	`distribute-rgt-neg-in_binary64_9243`
91×	`associate-+l+_binary64_9218`
85×	`associate-+r+_binary64_9217`
72×	`distribute-lft-neg-out_binary64_9244`
68×	`exp-prod_binary64_9337` `*-rgt-identity_binary64_9275`
67×	`associate--l+_binary64_9222`
61×	`*-lft-identity_binary64_9274`
60×	`distribute-lft-out_binary64_9236`
59×	`distribute-rgt-neg-out_binary64_9245`
57×	`log-prod_binary64_9371` `distribute-rgt-out--_binary64_9239`
52×	`associate-+r-_binary64_9219`
51×	`associate--l-_binary64_9223`
49×	`distribute-neg-in_binary64_9246`
48×	`sub0-neg_binary64_9272`
47×	`distribute-lft-neg-in_binary64_9242`
39×	`pow-sqr_binary64_9258` `cancel-sign-sub_binary64_9250`
35×	`exp-diff_binary64_9333`
33×	`log-div_binary64_9372` `cube-div_binary64_9314`
32×	`exp-sum_binary64_9331` `mul0-rgt_binary64_9268`
31×	`div-sub_binary64_9290` `mul0-lft_binary64_9267`
30×	`cube-prod_binary64_9313`
29×	`associate--r-_binary64_9224`
28×	`associate-/l/_binary64_9232`
25×	`remove-double-neg_binary64_9273`
24×	`associate-/l*_binary64_9230`
23×	`distribute-rgt1-in_binary64_9241`
20×	`unpow3_binary64_9351`
17×	`associate-*r/_binary64_9227`
16×	`rem-sqrt-square_binary64_9298` `times-frac_binary64_9291` `distribute-frac-neg_binary64_9248`
15×	`distribute-lft-out--_binary64_9237`
14×	`swap-sqr_binary64_9252` `associate-/r/_binary64_9231`
13×	`cube-mult_binary64_9315`
12×	`cube-unmult_binary64_9322` `+-rgt-identity_binary64_9270`
8×	`pow-plus_binary64_9348`
7×	`distribute-neg-frac_binary64_9249` `associate-/r*_binary64_9229`
6×	`exp-sqrt_binary64_9338`
5×	`unpow1/2_binary64_9349` `exp-lft-sqr_binary64_9340` `cube-neg_binary64_9312` `sqr-neg_binary64_9299`
4×	`unpow2_binary64_9350` `difference-of-squares_binary64_9254`
3×	`prod-exp_binary64_9334` `count-2_binary64_9233`
2×	`log-rec_binary64_9373` `unpow1_binary64_9343` `exp-neg_binary64_9332` `--rgt-identity_binary64_9271` `distribute-lft1-in_binary64_9240` `associate-*l/_binary64_9228`
1×	`1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-square-sqrt_binary64_9297` `/-rgt-identity_binary64_9276` `+-lft-identity_binary64_9269` `+-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` `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` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `div-exp_binary64_9336` `rec-exp_binary64_9335` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `mul-1-neg_binary64_9277` `div0_binary64_9266` `*-inverses_binary64_9265` `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`

Counts

54 → 26

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	502
1	151	483
2	385	481
3	821	481
4	1485	481
5	2656	481
6	3218	481
7	4794	481
8	4832	481

prune33.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	19	7	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	8	27

Error

0.0b

Counts

27 → 8

Compiler

Compiled 425 to 209 computations (50.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 y (fabs.f64 (cbrt.f64 z)))
0.3b	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite90.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_9307`
12×	`associate-r_binary64_9225`
11×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
9×	`cbrt-prod_binary64_9316`
6×	`sqrt-prod_binary64_9301`
4×	`add-log-exp_binary64_9324` `pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `associate-l_binary64_9226`
2×	`pow1/3_binary64_9367` `*-commutative_binary64_9216`
1×	`unswap-sqr_binary64_9253`

Counts

4 → 64

Calls

4 calls:

8.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
4.0ms	(*.f64 y (fabs.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1202 to 418 computations (65.2% saved)

series600.0ms (12.1%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

294.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 z))) (sqrt.f64 (cbrt.f64 z)))
110.0ms	(cbrt.f64 z)
101.0ms	(cbrt.f64 z)
78.0ms	(*.f64 y (fabs.f64 (cbrt.f64 z)))

Compiler

Compiled 834 to 706 computations (15.3% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

601×	`unswap-sqr_binary64_9253`
583×	`associate-+l+_binary64_9218`
427×	`distribute-rgt-in_binary64_9235`
414×	`distribute-lft-in_binary64_9234`
312×	`*-commutative_binary64_9216`
165×	`associate-l_binary64_9226`
137×	`log-prod_binary64_9371`
134×	`sqr-pow_binary64_9257`
125×	`associate-r_binary64_9225`
119×	`distribute-rgt-neg-in_binary64_9243`
113×	`distribute-lft-neg-in_binary64_9242`
51×	`exp-prod_binary64_9337`
41×	`pow-sqr_binary64_9258`
40×	`associate-/l*_binary64_9230`
35×	`cancel-sign-sub-inv_binary64_9251`
33×	`distribute-rgt-out_binary64_9238`
31×	`count-2_binary64_9233`
29×	`rem-sqrt-square_binary64_9298`
27×	`cube-prod_binary64_9313`
26×	`neg-sub0_binary64_9280` `swap-sqr_binary64_9252` `associate-+r+_binary64_9217`
25×	`neg-mul-1_binary64_9281` `associate-/l/_binary64_9232`
24×	`*-lft-identity_binary64_9274`
22×	`distribute-lft-out_binary64_9236`
21×	`log-pow_binary64_9374` `associate-*r/_binary64_9227`
16×	`sub-neg_binary64_9278`
15×	`*-rgt-identity_binary64_9275` `associate-/r/_binary64_9231`
13×	`cube-unmult_binary64_9322`
12×	`associate-/r*_binary64_9229`
10×	`pow-plus_binary64_9348`
7×	`+-commutative_binary64_9215`
4×	`unpow3_binary64_9351` `unpow1/2_binary64_9349` `cube-mult_binary64_9315`
2×	`unpow1/3_binary64_9352` `associate-*l/_binary64_9228`
1×	`unpow2_binary64_9350` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-3cbrt-lft_binary64_9310` `sqr-abs_binary64_9300` `rem-square-sqrt_binary64_9297` `mul-1-neg_binary64_9277` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240` `associate-+l-_binary64_9220`
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-rec_binary64_9373` `log-div_binary64_9372` `pow-base-0_binary64_9369` `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` `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-0_binary64_9327` `rem-log-exp_binary64_9326` `rem-exp-log_binary64_9325` `cube-div_binary64_9314` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-neg_binary64_9299` `times-frac_binary64_9291` `div-sub_binary64_9290` `unsub-neg_binary64_9279` `/-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` `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` `difference-of-squares_binary64_9254` `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-out--_binary64_9239` `distribute-lft-out--_binary64_9237` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--l+_binary64_9222` `associate--r+_binary64_9221` `associate-+r-_binary64_9219`

Counts

82 → 54

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	997
1	196	905
2	674	905
3	1013	905
4	1751	905
5	5228	905

prune63.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	50	4	54
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	51	11	62

Error

0.0b

Counts

62 → 11

Compiler

Compiled 1050 to 411 computations (60.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (fabs.f64 (cbrt.f64 z)) y) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite91.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`sqrt-prod_binary64_9301`
12×	`cbrt-prod_binary64_9316` `associate-r_binary64_9225`
11×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
9×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`
4×	`add-log-exp_binary64_9324`
3×	`pow1/3_binary64_9367` `pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `cbrt-unprod_binary64_9318`
1×	`associate-l_binary64_9226` `*-commutative_binary64_9216`

Counts

4 → 60

Calls

4 calls:

9.0ms	(.f64 (.f64 (fabs.f64 (cbrt.f64 z)) y) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1492 to 452 computations (69.7% saved)

series692.0ms (14%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

326.0ms	(.f64 (.f64 (fabs.f64 (cbrt.f64 z)) y) (sqrt.f64 (sqrt.f64 (cbrt.f64 z))))
118.0ms	(cbrt.f64 z)
116.0ms	(cbrt.f64 z)
111.0ms	(cbrt.f64 z)

Compiler

Compiled 963 to 732 computations (24% saved)

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

474×	`associate-/l/_binary64_9232`
367×	`unswap-sqr_binary64_9253`
340×	`*-commutative_binary64_9216`
330×	`+-commutative_binary64_9215`
305×	`associate-+l+_binary64_9218`
262×	`associate-+r+_binary64_9217`
245×	`sqr-pow_binary64_9257`
216×	`distribute-rgt-in_binary64_9235`
213×	`distribute-lft-in_binary64_9234`
203×	`distribute-rgt-out_binary64_9238`
194×	`log-prod_binary64_9371`
167×	`distribute-lft-out_binary64_9236`
164×	`distribute-rgt-neg-in_binary64_9243`
156×	`distribute-lft-neg-in_binary64_9242`
145×	`associate-l_binary64_9226`
113×	`associate-r_binary64_9225`
99×	`pow-sqr_binary64_9258` `associate-/l*_binary64_9230`
93×	`times-frac_binary64_9291`
81×	`count-2_binary64_9233`
61×	`distribute-rgt1-in_binary64_9241`
59×	`cancel-sign-sub-inv_binary64_9251`
55×	`associate-*r/_binary64_9227`
54×	`rem-sqrt-square_binary64_9298`
51×	`exp-prod_binary64_9337` `swap-sqr_binary64_9252`
49×	`associate-/r/_binary64_9231`
41×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280`
36×	`distribute-lft1-in_binary64_9240`
34×	`cube-prod_binary64_9313`
28×	`log-pow_binary64_9374` `sub-neg_binary64_9278`
25×	`log-div_binary64_9372` `cube-div_binary64_9314` `associate-/r*_binary64_9229`
15×	`-rgt-identity_binary64_9275` `-lft-identity_binary64_9274`
12×	`unsub-neg_binary64_9279` `associate-*l/_binary64_9228`
11×	`cube-unmult_binary64_9322`
9×	`exp-sqrt_binary64_9338`
8×	`pow-plus_binary64_9348`
7×	`unpow1/2_binary64_9349`
5×	`exp-lft-sqr_binary64_9340`
4×	`mul0-rgt_binary64_9268` `mul0-lft_binary64_9267`
3×	`unpow3_binary64_9351` `/-rgt-identity_binary64_9276` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `distribute-neg-frac_binary64_9249` `associate-+l-_binary64_9220`
2×	`unpow1/3_binary64_9352` `unpow2_binary64_9350` `cube-mult_binary64_9315`
1×	`unpow1_binary64_9343` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-3cbrt-lft_binary64_9310` `sqr-abs_binary64_9300` `rem-square-sqrt_binary64_9297` `mul-1-neg_binary64_9277`
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-rec_binary64_9373` `pow-base-0_binary64_9369` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `unpow0_binary64_9344` `unpow-1_binary64_9342` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `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-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-neg_binary64_9299` `div-sub_binary64_9290` `remove-double-neg_binary64_9273` `+-rgt-identity_binary64_9270` `+-lft-identity_binary64_9269` `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` `cancel-sign-sub_binary64_9250` `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-out--_binary64_9239` `distribute-lft-out--_binary64_9237` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--l+_binary64_9222` `associate--r+_binary64_9221` `associate-+r-_binary64_9219`

Counts

75 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	902
1	193	826
2	626	826
3	875	826
4	1293	826
5	2883	826
6	3959	826
7	4843	826

prune47.0ms (0.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	32	11	43

Error

0.0b

Counts

43 → 11

Compiler

Compiled 821 to 307 computations (62.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.7b	(cbrt.f64 (cbrt.f64 z))
0.7b	(cbrt.f64 (cbrt.f64 z))

rewrite70.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_9316`
10×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
4×	`pow1/3_binary64_9367` `pow1_binary64_9346` `add-log-exp_binary64_9324` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1188 to 369 computations (68.9% saved)

series520.0ms (10.5%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt.f64 (cbrt.f64 z))
136.0ms	(cbrt.f64 (cbrt.f64 z))
120.0ms	(cbrt.f64 z)
110.0ms	(cbrt.f64 z)

Compiler

Compiled 774 to 574 computations (25.8% saved)

simplify107.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

513×	`log-prod_binary64_9371`
450×	`unswap-sqr_binary64_9253`
391×	`associate-+l+_binary64_9218`
359×	`associate-+r+_binary64_9217`
347×	`distribute-rgt-in_binary64_9235`
341×	`distribute-lft-in_binary64_9234`
328×	`distribute-rgt-neg-in_binary64_9243` `distribute-lft-neg-in_binary64_9242`
214×	`distribute-rgt-out_binary64_9238`
192×	`*-commutative_binary64_9216`
149×	`distribute-lft-out_binary64_9236`
137×	`cancel-sign-sub-inv_binary64_9251`
126×	`sqr-pow_binary64_9257`
123×	`associate-l_binary64_9226`
88×	`associate-r_binary64_9225`
84×	`log-pow_binary64_9374`
51×	`neg-sub0_binary64_9280`
50×	`neg-mul-1_binary64_9281`
38×	`pow-sqr_binary64_9258`
34×	`rem-sqrt-square_binary64_9298`
33×	`exp-prod_binary64_9337`
28×	`sub-neg_binary64_9278`
27×	`pow-plus_binary64_9348`
24×	`unpow3_binary64_9351` `unsub-neg_binary64_9279`
23×	`cube-prod_binary64_9313`
22×	`cube-unmult_binary64_9322`
19×	`distribute-rgt1-in_binary64_9241`
15×	`distribute-lft1-in_binary64_9240`
14×	`count-2_binary64_9233`
9×	`unpow2_binary64_9350` `distribute-rgt-neg-out_binary64_9245` `distribute-lft-neg-out_binary64_9244`
8×	`mul0-rgt_binary64_9268` `mul0-lft_binary64_9267`
7×	`cube-mult_binary64_9315`
5×	`associate-/l/_binary64_9232` `associate-*r/_binary64_9227`
4×	`associate-/l*_binary64_9230`
3×	`unpow1/3_binary64_9352` `unpow1_binary64_9343` `+-commutative_binary64_9215`
2×	`rem-3cbrt-lft_binary64_9310` `swap-sqr_binary64_9252` `associate-/r/_binary64_9231`
1×	`unpow1/2_binary64_9349` `1-exp_binary64_9329` `rem-cbrt-cube_binary64_9309` `times-frac_binary64_9291` `mul-1-neg_binary64_9277` `sub0-neg_binary64_9272` `--rgt-identity_binary64_9271` `associate-/r*_binary64_9229` `associate-+l-_binary64_9220`
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-rec_binary64_9373` `log-div_binary64_9372` `pow-base-0_binary64_9369` `exp-to-pow_binary64_9347` `pow-base-1_binary64_9345` `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` `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-div_binary64_9314` `cube-neg_binary64_9312` `rem-3cbrt-rft_binary64_9311` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `sqr-neg_binary64_9299` `rem-square-sqrt_binary64_9297` `div-sub_binary64_9290` `/-rgt-identity_binary64_9276` `-rgt-identity_binary64_9275` `-lft-identity_binary64_9274` `remove-double-neg_binary64_9273` `+-rgt-identity_binary64_9270` `+-lft-identity_binary64_9269` `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` `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-out--_binary64_9239` `distribute-lft-out--_binary64_9237` `associate-l/_binary64_9228` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--l+_binary64_9222` `associate--r+_binary64_9221` `associate-+r-_binary64_9219`

Counts

62 → 20

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	500
1	63	500
2	158	500
3	489	452
4	976	452
5	3453	452
6	4795	452
7	4957	452
8	4718	452

prune23.0ms (0.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	20	11	31

Error

0.0b

Counts

31 → 11

Compiler

Compiled 450 to 157 computations (65.1% saved)

regimes462.0ms (9.4%)

Accuracy

Total 0.1b remaining (83.2%)

Threshold costs 0.1b (83.2%)

Compiler

Compiled 4096 to 2875 computations (29.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_9216`
1×	`1-exp_binary64_9329` `+-commutative_binary64_9215`
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` `neg-mul-1_binary64_9281` `neg-sub0_binary64_9280` `unsub-neg_binary64_9279` `sub-neg_binary64_9278` `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	12	12
1	17	12
2	15	12

end0.0ms (0%)

sample1.2s (24.4%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
36.0ms	1053×	body	128	nan
14.0ms	398×	body	128	invalid

Compiler

Compiled 597 to 423 computations (29.1% saved)

Details

analyze305.0ms (6.2%)

sample23.0ms (0.5%)

simplify14.0ms (0.3%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

rewrite42.0ms (0.9%)

series225.0ms (4.6%)

simplify105.0ms (2.1%)

prune33.0ms (0.7%)

localize10.0ms (0.2%)

rewrite90.0ms (1.8%)

series600.0ms (12.1%)

simplify68.0ms (1.4%)

prune63.0ms (1.3%)

localize13.0ms (0.3%)

rewrite91.0ms (1.8%)

series692.0ms (14%)

simplify108.0ms (2.2%)

prune47.0ms (0.9%)

localize15.0ms (0.3%)

rewrite70.0ms (1.4%)

series520.0ms (10.5%)

simplify107.0ms (2.2%)

prune23.0ms (0.5%)

regimes462.0ms (9.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (24.4%)

Profiling