Details

analyze509.0ms (13.7%)

Algorithm

1×

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample30.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	180×	body	128	valid
3.0ms	26×	body	1024	valid
3.0ms	21×	body	2048	valid
2.0ms	21×	body	512	valid
1.0ms	44×	body	128	invalid
1.0ms	11×	body	512	invalid
1.0ms	5×	body	1024	invalid
0.0ms	8×	body	256	valid
0.0ms	7×	body	256	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify639.0ms (17.1%)

Algorithm

1×	egg-herbie

Rules

881×	`exp-prod_binary64_9337`
806×	`cube-prod_binary64_9313`
627×	`unsub-neg_binary64_9279`
306×	`exp-sum_binary64_9331`
249×	`exp-diff_binary64_9333`
212×	`sub-neg_binary64_9278`
185×	`distribute-neg-in_binary64_9246`
159×	`cancel-sign-sub-inv_binary64_9251`
154×	`swap-sqr_binary64_9252`
137×	`distribute-rgt-neg-out_binary64_9245`
134×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280`
129×	`*-commutative_binary64_9216`
119×	`distribute-lft-neg-in_binary64_9242`
118×	`distribute-lft-neg-out_binary64_9244`
116×	`distribute-rgt-neg-in_binary64_9243`
109×	`distribute-rgt1-in_binary64_9241`
106×	`+-commutative_binary64_9215`
94×	`pow-plus_binary64_9348`
87×	`associate--l+_binary64_9222`
86×	`associate--r+_binary64_9221` `associate-+l-_binary64_9220` `associate-+r+_binary64_9217`
77×	`distribute-lft-out_binary64_9236`
73×	`distribute-neg-out_binary64_9247` `associate-r_binary64_9225`
71×	`associate-l_binary64_9226`
66×	`associate--r-_binary64_9224` `associate-+l+_binary64_9218`
64×	`unpow3_binary64_9351`
63×	`cube-mult_binary64_9315` `times-frac_binary64_9291`
62×	`associate-+r-_binary64_9219`
58×	`div-exp_binary64_9336` `remove-double-neg_binary64_9273`
53×	`associate--l-_binary64_9223`
51×	`distribute-rgt-out_binary64_9238`
46×	`distribute-rgt-in_binary64_9235`
44×	`distribute-lft-out--_binary64_9237`
36×	`sqr-pow_binary64_9257`
35×	`distribute-rgt-out--_binary64_9239`
27×	`exp-neg_binary64_9332` `distribute-lft-in_binary64_9234`
23×	`sub0-neg_binary64_9272`
21×	`sqr-neg_binary64_9299`
18×	`pow-base-1_binary64_9345`
16×	`pow-sqr_binary64_9258`
15×	`cube-div_binary64_9314` `+-rgt-identity_binary64_9270` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267`
9×	`distribute-lft1-in_binary64_9240`
8×	`count-2_binary64_9233`
7×	`exp-lft-sqr_binary64_9340` `difference-of-squares_binary64_9254`
6×	`cube-unmult_binary64_9322` `--rgt-identity_binary64_9271` `+-inverses_binary64_9264`
5×	`cube-neg_binary64_9312` `difference-of-sqr--1_binary64_9256` `distribute-neg-frac_binary64_9249`
4×	`prod-exp_binary64_9334` `associate-/l*_binary64_9230`
3×	`mul-1-neg_binary64_9277` `+-lft-identity_binary64_9269`
1×	`pow-base-0_binary64_9369` `unpow-1_binary64_9342` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `difference-of-sqr-1_binary64_9255` `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` `log-pow_binary64_9374` `log-rec_binary64_9373` `log-div_binary64_9372` `log-prod_binary64_9371` `unpow1/3_binary64_9352` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `exp-to-pow_binary64_9347` `unpow0_binary64_9344` `unpow1_binary64_9343` `exp-lft-cube_binary64_9341` `exp-cbrt_binary64_9339` `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` `rem-3cbrt-rft_binary64_9311` `rem-3cbrt-lft_binary64_9310` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `rem-sqrt-square_binary64_9298` `rem-square-sqrt_binary64_9297` `div-sub_binary64_9290` `/-rgt-identity_binary64_9276` `-rgt-identity_binary64_9275` `-lft-identity_binary64_9274` `div0_binary64_9266` `-inverses_binary64_9265` `lft-mult-inverse_binary64_9263` `rgt-mult-inverse_binary64_9262` `remove-double-div_binary64_9261` `unswap-sqr_binary64_9253` `distribute-frac-neg_binary64_9248` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231` `associate-/r_binary64_9229` `associate-l/_binary64_9228` `associate-r/_binary64_9227`

Counts

1 → 4

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	28	16
2	72	13
3	181	7
4	356	7
5	1304	7
6	1634	7
7	3035	7

prune9.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Compiler

Compiled 43 to 22 computations (48.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_9307`
7×	`*-un-lft-identity_binary64_9285`
6×	`cancel-sign-sub-inv_binary64_9251`
5×	`add-cube-cbrt_binary64_9320` `associate-r_binary64_9225`
4×	`distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234`
3×	`pow1_binary64_9346` `add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `associate-l_binary64_9226`
2×	`sub-neg_binary64_9278` `associate-*r/_binary64_9227`
1×	`pow-prod-down_binary64_9356` `prod-exp_binary64_9334` `add-log-exp_binary64_9324` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `flip3--_binary64_9289` `flip--_binary64_9260` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237` `*-commutative_binary64_9216`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 y (-.f64 x z))

Compiler

Compiled 338 to 111 computations (67.2% saved)

series147.0ms (3.9%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

140.0ms

(*.f64 y (-.f64 x z))

Compiler

Compiled 219 to 146 computations (33.3% saved)

simplify141.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

418×	`neg-sub0_binary64_9280`
396×	`neg-mul-1_binary64_9281`
390×	`associate-l_binary64_9226`
330×	`associate-r_binary64_9225`
318×	`unswap-sqr_binary64_9253`
251×	`cancel-sign-sub-inv_binary64_9251`
249×	`distribute-rgt-neg-out_binary64_9245`
208×	`distribute-lft-neg-out_binary64_9244`
195×	`sqr-pow_binary64_9257`
173×	`exp-prod_binary64_9337`
169×	`distribute-rgt-in_binary64_9235`
167×	`distribute-lft-in_binary64_9234`
120×	`unsub-neg_binary64_9279`
80×	`associate-+r+_binary64_9217`
66×	`exp-sum_binary64_9331` `*-commutative_binary64_9216`
64×	`pow-sqr_binary64_9258`
59×	`associate-+l+_binary64_9218`
58×	`+-commutative_binary64_9215`
57×	`sub-neg_binary64_9278` `swap-sqr_binary64_9252`
55×	`*-rgt-identity_binary64_9275`
54×	`*-lft-identity_binary64_9274`
37×	`times-frac_binary64_9291`
32×	`difference-of-squares_binary64_9254`
26×	`div-sub_binary64_9290` `distribute-rgt-out_binary64_9238`
24×	`exp-diff_binary64_9333`
22×	`distribute-lft-out_binary64_9236`
20×	`cube-prod_binary64_9313` `distribute-rgt-neg-in_binary64_9243`
17×	`exp-to-pow_binary64_9347`
16×	`mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `associate-/l*_binary64_9230`
15×	`+-rgt-identity_binary64_9270`
13×	`log-prod_binary64_9371` `distribute-lft-neg-in_binary64_9242`
12×	`sqr-neg_binary64_9299`
11×	`cube-unmult_binary64_9322` `mul-1-neg_binary64_9277` `+-lft-identity_binary64_9269` `associate-+r-_binary64_9219`
10×	`sub0-neg_binary64_9272` `associate-+l-_binary64_9220`
7×	`unpow3_binary64_9351`
6×	`remove-double-neg_binary64_9273`
5×	`pow-plus_binary64_9348` `associate-/l/_binary64_9232`
4×	`exp-neg_binary64_9332` `--rgt-identity_binary64_9271` `distribute-rgt-out--_binary64_9239` `associate-*r/_binary64_9227`
3×	`prod-exp_binary64_9334`
2×	`cube-mult_binary64_9315` `cube-neg_binary64_9312` `rem-sqrt-square_binary64_9298` `/-rgt-identity_binary64_9276` `associate-*l/_binary64_9228` `associate--r+_binary64_9221`
1×	`log-pow_binary64_9374` `pow-base-1_binary64_9345` `div-exp_binary64_9336` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-log-exp_binary64_9326` `rem-3cbrt-lft_binary64_9310` `rem-square-sqrt_binary64_9297` `div0_binary64_9266` `*-inverses_binary64_9265` `rgt-mult-inverse_binary64_9262` `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` `log-rec_binary64_9373` `log-div_binary64_9372` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow2_binary64_9350` `unpow1/2_binary64_9349` `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` `e-exp-1_binary64_9330` `exp-0_binary64_9327` `rem-exp-log_binary64_9325` `cube-div_binary64_9314` `rem-3cbrt-rft_binary64_9311` `rem-cbrt-cube_binary64_9309` `rem-cube-cbrt_binary64_9308` `sqr-abs_binary64_9300` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `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-frac-neg_binary64_9248` `distribute-neg-out_binary64_9247` `distribute-neg-in_binary64_9246` `distribute-rgt1-in_binary64_9241` `distribute-lft1-in_binary64_9240` `distribute-lft-out--_binary64_9237` `associate-/r/_binary64_9231` `associate-/r*_binary64_9229` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--l+_binary64_9222`

Counts

45 → 59

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	416
1	161	386
2	458	386
3	1722	386
4	3103	386

prune32.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	2	60

Error

Counts

60 → 2

Compiler

Compiled 531 to 87 computations (83.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 x z) y)
0.3b	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
3.0b	(sqrt.f64 (*.f64 (-.f64 x z) y))
3.0b	(sqrt.f64 (*.f64 y (-.f64 x z)))

rewrite112.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`pow1_binary64_9346`
16×	`sqrt-div_binary64_9302`
14×	`add-sqr-sqrt_binary64_9307`
13×	`pow-prod-down_binary64_9356`
12×	`sqrt-pow1_binary64_9303` `associate-*l/_binary64_9228`
10×	`associate-r/_binary64_9227` `-un-lft-identity_binary64_9285`
9×	`flip3--_binary64_9289` `flip--_binary64_9260` `associate-l_binary64_9226`
8×	`add-exp-log_binary64_9323` `add-cbrt-cube_binary64_9321` `add-cube-cbrt_binary64_9320`
7×	`associate-r_binary64_9225`
4×	`pow1/2_binary64_9365` `add-log-exp_binary64_9324` `sqrt-prod_binary64_9301` `frac-times_binary64_9295`
2×	`prod-exp_binary64_9334` `cbrt-unprod_binary64_9318` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216`
1×	`sqrt-unprod_binary64_9305` `difference-of-squares_binary64_9254` `distribute-lft-out--_binary64_9237`

Counts

4 → 82

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
6.0ms	(*.f64 (-.f64 x z) y)
5.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))
5.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

Compiler

Compiled 1727 to 348 computations (79.8% saved)

series600.0ms (16.1%)

Error

Counts

4 → 51

Calls

4 calls:

155.0ms	(.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (*.f64 (-.f64 x z) y)))
147.0ms	(*.f64 (-.f64 x z) y)
138.0ms	(sqrt.f64 (*.f64 (-.f64 x z) y))
130.0ms	(sqrt.f64 (*.f64 y (-.f64 x z)))

Compiler

Compiled 2230 to 1359 computations (39.1% saved)

simplify218.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

522×	`unswap-sqr_binary64_9253`
227×	`times-frac_binary64_9291`
203×	`distribute-rgt-in_binary64_9235`
201×	`distribute-lft-in_binary64_9234`
169×	`distribute-lft-neg-out_binary64_9244`
167×	`distribute-rgt-neg-out_binary64_9245`
166×	`distribute-neg-frac_binary64_9249`
160×	`*-commutative_binary64_9216`
138×	`cancel-sign-sub-inv_binary64_9251`
105×	`associate-/r_binary64_9229` `associate-l*_binary64_9226`
99×	`associate-/l*_binary64_9230`
94×	`associate-r_binary64_9225`
91×	`sqr-pow_binary64_9257`
75×	`neg-sub0_binary64_9280`
74×	`neg-mul-1_binary64_9281`
66×	`associate-*r/_binary64_9227`
62×	`associate-*l/_binary64_9228`
58×	`distribute-frac-neg_binary64_9248`
52×	`exp-prod_binary64_9337`
45×	`sub-neg_binary64_9278`
43×	`div-sub_binary64_9290` `pow-sqr_binary64_9258`
40×	`unsub-neg_binary64_9279` `*-rgt-identity_binary64_9275`
38×	`*-lft-identity_binary64_9274`
33×	`swap-sqr_binary64_9252`
27×	`log-prod_binary64_9371`
25×	`associate-/r/_binary64_9231`
23×	`distribute-rgt-neg-in_binary64_9243`
21×	`cube-prod_binary64_9313`
19×	`pow-plus_binary64_9348` `distribute-lft-neg-in_binary64_9242` `+-commutative_binary64_9215`
17×	`difference-of-squares_binary64_9254`
16×	`exp-sqrt_binary64_9338`
14×	`rem-sqrt-square_binary64_9298`
13×	`exp-sum_binary64_9331` `cube-div_binary64_9314`
12×	`log-div_binary64_9372`
10×	`exp-diff_binary64_9333`
8×	`rem-square-sqrt_binary64_9297` `+-rgt-identity_binary64_9270` `associate-+r-_binary64_9219`
7×	`associate-/l/_binary64_9232` `associate-+l-_binary64_9220` `associate-+l+_binary64_9218` `associate-+r+_binary64_9217`
6×	`sub0-neg_binary64_9272`
5×	`cube-unmult_binary64_9322`
4×	`log-pow_binary64_9374` `unpow3_binary64_9351` `unpow2_binary64_9350` `unpow1_binary64_9343` `sqr-neg_binary64_9299`
3×	`cube-mult_binary64_9315` `distribute-rgt-out_binary64_9238`
2×	`exp-neg_binary64_9332` `div0_binary64_9266` `*-inverses_binary64_9265` `distribute-neg-in_binary64_9246` `associate--l+_binary64_9222`
1×	`exp-lft-sqr_binary64_9340` `prod-exp_binary64_9334` `1-exp_binary64_9329` `exp-1-e_binary64_9328` `rem-log-exp_binary64_9326` `mul-1-neg_binary64_9277` `/-rgt-identity_binary64_9276` `mul0-rgt_binary64_9268` `mul0-lft_binary64_9267` `rgt-mult-inverse_binary64_9262` `distribute-rgt-out--_binary64_9239` `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` `log-rec_binary64_9373` `pow-base-0_binary64_9369` `unpow1/3_binary64_9352` `unpow1/2_binary64_9349` `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-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` `remove-double-neg_binary64_9273` `--rgt-identity_binary64_9271` `+-lft-identity_binary64_9269` `+-inverses_binary64_9264` `lft-mult-inverse_binary64_9263` `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` `distribute-lft-out--_binary64_9237` `distribute-lft-out_binary64_9236` `associate--r-_binary64_9224` `associate--l-_binary64_9223` `associate--r+_binary64_9221`

Counts

133 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1757
1	236	1621
2	844	1605
3	2634	1605

prune152.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	2	170

Error

Counts

170 → 2

Compiler

Compiled 3454 to 765 computations (77.9% saved)

regimes78.0ms (2.1%)

Accuracy

Total 0.0b remaining (43.7%)

Threshold costs 0.0b (43.7%)

Compiler

Compiled 464 to 340 computations (26.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg_binary64_9278` `*-commutative_binary64_9216` `+-commutative_binary64_9215`
1×	`neg-mul-1_binary64_9281` `neg-sub0_binary64_9280`
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` `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	6	7
1	9	7
2	14	7
3	16	7
4	17	7

Proof

(* f64 h0 (- f64 h1 h2))

end0.0ms (0%)

sample1.0s (27.2%)

Algorithm

1×

intervals

Results

194.0ms	5856×	body	128	valid
89.0ms	773×	body	1024	valid
77.0ms	514×	body	2048	valid
52.0ms	556×	body	512	valid
44.0ms	1389×	body	128	invalid
32.0ms	285×	body	512	invalid
30.0ms	203×	body	1024	invalid
18.0ms	301×	body	256	valid
12.0ms	199×	body	256	invalid

Compiler

Compiled 133 to 99 computations (25.6% saved)

Details

analyze509.0ms (13.7%)

sample30.0ms (0.8%)

simplify639.0ms (17.1%)

prune9.0ms (0.2%)

localize4.0ms (0.1%)

rewrite28.0ms (0.7%)

series147.0ms (3.9%)

simplify141.0ms (3.8%)

prune32.0ms (0.9%)

localize8.0ms (0.2%)

rewrite112.0ms (3%)

series600.0ms (16.1%)

simplify218.0ms (5.9%)

prune152.0ms (4.1%)

regimes78.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (27.2%)

Profiling