Details

analyze32.0ms (3.1%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample19.0ms (1.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify244.0ms (23.6%)

Algorithm

1×	egg-herbie

Rules

646×	`unswap-sqr_binary64_6525`
478×	`associate-/l*_binary64_6502`
362×	`sqr-pow_binary64_6529`
333×	`exp-prod_binary64_6609`
278×	`associate-/r/_binary64_6503`
266×	`pow-sqr_binary64_6530`
255×	`associate-l_binary64_6498`
199×	`associate-*r/_binary64_6499`
194×	`pow-plus_binary64_6620`
185×	`associate-*l/_binary64_6500`
178×	`cube-prod_binary64_6585`
174×	`prod-exp_binary64_6606`
145×	`associate-/r*_binary64_6501`
130×	`*-commutative_binary64_6488`
115×	`associate-r_binary64_6497`
102×	`swap-sqr_binary64_6524`
93×	`associate-/l/_binary64_6504`
79×	`exp-sqrt_binary64_6610`
62×	`unpow3_binary64_6623`
50×	`cube-mult_binary64_6587`
45×	`distribute-rgt-out_binary64_6510`
33×	`exp-lft-sqr_binary64_6612` `cube-div_binary64_6586`
31×	`cube-unmult_binary64_6594`
30×	`times-frac_binary64_6563`
26×	`rem-sqrt-square_binary64_6570`
13×	`*-lft-identity_binary64_6546`
12×	`div-exp_binary64_6608`
10×	`rem-square-sqrt_binary64_6569` `distribute-lft-out_binary64_6508`
8×	`+-commutative_binary64_6487`
7×	`*-rgt-identity_binary64_6547` `remove-double-div_binary64_6533` `associate-+l+_binary64_6490`
6×	`/-rgt-identity_binary64_6548` `distribute-rgt1-in_binary64_6513`
5×	`count-2_binary64_6505`
4×	`rec-exp_binary64_6607`
3×	`distribute-rgt-in_binary64_6507` `distribute-lft-in_binary64_6506`
2×	`pow-base-1_binary64_6617` `*-inverses_binary64_6537`
1×	`unpow1_binary64_6615` `exp-sum_binary64_6603` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `neg-mul-1_binary64_6553` `neg-sub0_binary64_6552` `sub-neg_binary64_6550` `--rgt-identity_binary64_6543` `+-rgt-identity_binary64_6542` `lft-mult-inverse_binary64_6535` `cancel-sign-sub-inv_binary64_6523` `distribute-lft-neg-in_binary64_6514` `distribute-lft1-in_binary64_6512` `distribute-rgt-out--_binary64_6511` `associate-+r+_binary64_6489`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `log-pow_binary64_6646` `log-rec_binary64_6645` `log-div_binary64_6644` `log-prod_binary64_6643` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow2_binary64_6622` `unpow1/2_binary64_6621` `exp-to-pow_binary64_6619` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-cbrt_binary64_6611` `exp-diff_binary64_6605` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `div-sub_binary64_6562` `unsub-neg_binary64_6551` `mul-1-neg_binary64_6549` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `+-lft-identity_binary64_6541` `mul0-rgt_binary64_6540` `mul0-lft_binary64_6539` `div0_binary64_6538` `+-inverses_binary64_6536` `rgt-mult-inverse_binary64_6534` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `difference-of-squares_binary64_6526` `cancel-sign-sub_binary64_6522` `distribute-neg-frac_binary64_6521` `distribute-frac-neg_binary64_6520` `distribute-neg-out_binary64_6519` `distribute-neg-in_binary64_6518` `distribute-rgt-neg-out_binary64_6517` `distribute-lft-neg-out_binary64_6516` `distribute-rgt-neg-in_binary64_6515` `distribute-lft-out--_binary64_6509` `associate--r-_binary64_6496` `associate--l-_binary64_6495` `associate--l+_binary64_6494` `associate--r+_binary64_6493` `associate-+l-_binary64_6492` `associate-+r-_binary64_6491`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	12	9
2	23	9
3	41	9
4	84	9
5	190	9
6	447	9
7	985	9
8	2675	9
9	3197	9
10	4276	9

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	0	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

Counts

3 → 1

Compiler

Compiled 18 to 13 computations (27.8% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) y)

rewrite19.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
3×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `associate-r_binary64_6497`
2×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
1×	`add-log-exp_binary64_6596` `associate-l_binary64_6498` `*-commutative_binary64_6488`

Counts

1 → 18

Calls

1 calls:

6.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 202 to 73 computations (63.9% saved)

series84.0ms (8.1%)

Error

Counts

1 → 6

Calls

1 calls:

80.0ms

(*.f64 (*.f64 x y) y)

Compiler

Compiled 108 to 98 computations (9.3% saved)

simplify143.0ms (13.9%)

Algorithm

1×	egg-herbie

Rules

356×	`associate-*l/_binary64_6500`
350×	`associate-*r/_binary64_6499`
287×	`distribute-rgt-out_binary64_6510`
250×	`associate-+l+_binary64_6490`
217×	`sqr-pow_binary64_6529`
202×	`associate--r-_binary64_6496`
170×	`associate--r+_binary64_6493`
166×	`associate-+l-_binary64_6492`
144×	`associate-+r-_binary64_6491`
136×	`exp-prod_binary64_6609`
130×	`log-prod_binary64_6643`
129×	`cube-prod_binary64_6585`
121×	`associate--l+_binary64_6494`
119×	`associate--l-_binary64_6495`
113×	`pow-sqr_binary64_6530`
111×	`*-commutative_binary64_6488`
108×	`log-div_binary64_6644` `cube-div_binary64_6586`
102×	`times-frac_binary64_6563` `associate-l_binary64_6498`
94×	`sub-neg_binary64_6550`
93×	`distribute-rgt-in_binary64_6507`
88×	`swap-sqr_binary64_6524`
74×	`*-rgt-identity_binary64_6547`
73×	`unswap-sqr_binary64_6525`
71×	`*-lft-identity_binary64_6546`
68×	`associate-r_binary64_6497`
63×	`exp-sqrt_binary64_6610`
53×	`cancel-sign-sub-inv_binary64_6523`
52×	`unpow3_binary64_6623`
51×	`associate-/r*_binary64_6501`
50×	`distribute-lft-in_binary64_6506`
48×	`cube-mult_binary64_6587`
45×	`associate-/l*_binary64_6502`
44×	`distribute-neg-in_binary64_6518`
41×	`distribute-lft-out_binary64_6508`
37×	`associate-/r/_binary64_6503`
36×	`count-2_binary64_6505`
30×	`distribute-rgt1-in_binary64_6513`
25×	`/-rgt-identity_binary64_6548`
23×	`exp-sum_binary64_6603`
22×	`exp-lft-sqr_binary64_6612`
21×	`pow-plus_binary64_6620`
18×	`unsub-neg_binary64_6551`
17×	`log-pow_binary64_6646`
15×	`associate-/l/_binary64_6504`
14×	`distribute-rgt-neg-in_binary64_6515`
13×	`neg-mul-1_binary64_6553` `distribute-lft-neg-in_binary64_6514` `associate-+r+_binary64_6489`
11×	`rem-square-sqrt_binary64_6569`
9×	`rem-sqrt-square_binary64_6570` `distribute-neg-frac_binary64_6521` `distribute-rgt-out--_binary64_6511`
8×	`log-rec_binary64_6645` `neg-sub0_binary64_6552` `distribute-neg-out_binary64_6519`
7×	`cube-unmult_binary64_6594`
5×	`exp-diff_binary64_6605` `+-commutative_binary64_6487`
4×	`prod-exp_binary64_6606` `distribute-lft-out--_binary64_6509`
3×	`distribute-lft-neg-out_binary64_6516` `distribute-lft1-in_binary64_6512`
2×	`exp-to-pow_binary64_6619` `pow-base-1_binary64_6617` `mul0-rgt_binary64_6540` `distribute-rgt-neg-out_binary64_6517`
1×	`unpow2_binary64_6622` `unpow1_binary64_6615` `div-exp_binary64_6608` `1-exp_binary64_6601` `exp-1-e_binary64_6600` `rem-log-exp_binary64_6598` `rem-exp-log_binary64_6597` `+-rgt-identity_binary64_6542` `mul0-lft_binary64_6539` `*-inverses_binary64_6537`
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_6820` `erf-erfc_binary64_6819` `erf-odd_binary64_6818` `if-if-and-not_binary64_6817` `if-if-and_binary64_6816` `if-if-or-not_binary64_6815` `if-if-or_binary64_6814` `if-not_binary64_6813` `if-same_binary64_6812` `if-false_binary64_6811` `if-true_binary64_6810` `not-gte_binary64_6809` `not-lte_binary64_6808` `not-gt_binary64_6807` `not-lt_binary64_6806` `gte-same_binary64_6805` `lte-same_binary64_6804` `gt-same_binary64_6803` `lt-same_binary64_6802` `sinh---cosh_binary64_6749` `sinh-+-cosh_binary64_6748` `sinh-cosh_binary64_6747` `tanh-def-c_binary64_6746` `tanh-def-b_binary64_6745` `tanh-def-a_binary64_6744` `cosh-def_binary64_6743` `sinh-def_binary64_6742` `tan-neg_binary64_6689` `cos-neg_binary64_6688` `sin-neg_binary64_6687` `tan-0_binary64_6686` `cos-0_binary64_6685` `sin-0_binary64_6684` `hang-m-tan_binary64_6683` `hang-p-tan_binary64_6682` `hang-m0-tan_binary64_6681` `hang-p0-tan_binary64_6680` `hang-0m-tan_binary64_6679` `hang-0p-tan_binary64_6678` `tan-+PI/2_binary64_6677` `tan-+PI_binary64_6676` `tan-PI_binary64_6675` `tan-PI/3_binary64_6674` `tan-PI/4_binary64_6673` `tan-PI/6_binary64_6672` `cos-+PI/2_binary64_6671` `cos-+PI_binary64_6670` `cos-PI_binary64_6669` `cos-PI/2_binary64_6668` `cos-PI/3_binary64_6667` `cos-PI/4_binary64_6666` `cos-PI/6_binary64_6665` `sin-+PI/2_binary64_6664` `sin-+PI_binary64_6663` `sin-PI_binary64_6662` `sin-PI/2_binary64_6661` `sin-PI/3_binary64_6660` `sin-PI/4_binary64_6659` `sin-PI/6_binary64_6658` `sub-1-sin_binary64_6657` `sub-1-cos_binary64_6656` `-1-add-sin_binary64_6655` `-1-add-cos_binary64_6654` `1-sub-sin_binary64_6653` `1-sub-cos_binary64_6652` `cos-sin-sum_binary64_6651` `log-E_binary64_6647` `pow-base-0_binary64_6641` `unpow1/3_binary64_6624` `unpow1/2_binary64_6621` `unpow0_binary64_6616` `unpow-1_binary64_6614` `exp-lft-cube_binary64_6613` `exp-cbrt_binary64_6611` `rec-exp_binary64_6607` `exp-neg_binary64_6604` `e-exp-1_binary64_6602` `exp-0_binary64_6599` `cube-neg_binary64_6584` `rem-3cbrt-rft_binary64_6583` `rem-3cbrt-lft_binary64_6582` `rem-cbrt-cube_binary64_6581` `rem-cube-cbrt_binary64_6580` `sqr-abs_binary64_6572` `sqr-neg_binary64_6571` `div-sub_binary64_6562` `mul-1-neg_binary64_6549` `remove-double-neg_binary64_6545` `sub0-neg_binary64_6544` `--rgt-identity_binary64_6543` `+-lft-identity_binary64_6541` `div0_binary64_6538` `+-inverses_binary64_6536` `lft-mult-inverse_binary64_6535` `rgt-mult-inverse_binary64_6534` `remove-double-div_binary64_6533` `difference-of-sqr--1_binary64_6528` `difference-of-sqr-1_binary64_6527` `difference-of-squares_binary64_6526` `cancel-sign-sub_binary64_6522` `distribute-frac-neg_binary64_6520`

Counts

24 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	245
1	93	200
2	323	200
3	489	200
4	1864	200
5	2722	200

prune19.0ms (1.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	1	31

Error

Counts

31 → 1

Compiler

Compiled 329 to 83 computations (74.8% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_6488

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_6817 if-if-and_binary64_6816 if-if-or-not_binary64_6815 if-if-or_binary64_6814 if-not_binary64_6813 if-same_binary64_6812 if-false_binary64_6811 if-true_binary64_6810 tan-0_binary64_6686 cos-0_binary64_6685 sin-0_binary64_6684 unpow1_binary64_6615 e-exp-1_binary64_6602 1-exp_binary64_6601 exp-1-e_binary64_6600 exp-0_binary64_6599 sqr-abs_binary64_6572 sqr-neg_binary64_6571 neg-mul-1_binary64_6553 neg-sub0_binary64_6552 unsub-neg_binary64_6551 sub-neg_binary64_6550 mul-1-neg_binary64_6549 /-rgt-identity_binary64_6548 *-rgt-identity_binary64_6547 *-lft-identity_binary64_6546 remove-double-neg_binary64_6545 sub0-neg_binary64_6544 --rgt-identity_binary64_6543 +-rgt-identity_binary64_6542 +-lft-identity_binary64_6541 cancel-sign-sub-inv_binary64_6523 cancel-sign-sub_binary64_6522 distribute-neg-frac_binary64_6521 distribute-frac-neg_binary64_6520 distribute-neg-out_binary64_6519 distribute-neg-in_binary64_6518 distribute-rgt-neg-out_binary64_6517 distribute-lft-neg-out_binary64_6516 distribute-rgt-neg-in_binary64_6515 distribute-lft-neg-in_binary64_6514 +-commutative_binary64_6487

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	8	9

Proof

(exp f64 (=> (* f64 (* f64 h0 h1) h1)))
*-commutative_binary64_6488 =>
(exp f64 (* f64 h1 (* f64 h0 h1)))

end0.0ms (0%)

sample462.0ms (44.7%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
3.0ms	129×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

Details

analyze32.0ms (3.1%)

sample19.0ms (1.9%)

simplify244.0ms (23.6%)

prune4.0ms (0.3%)

localize4.0ms (0.4%)

rewrite19.0ms (1.9%)

series84.0ms (8.1%)

simplify143.0ms (13.9%)

prune19.0ms (1.8%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample462.0ms (44.7%)

Profiling