Details

analyze826.0ms (16%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4866	40
1	4866	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
9.4%	90.5%	0.1%	6
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
37.8%	60.5%	1.7%	9
40%	56%	4%	10
40%	56%	4%	10
47.3%	48.7%	4%	11
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14
63.4%	27.5%	9%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample362.0ms (7%)

Algorithm

2×

intervals

Results

13.0ms	512×	body	128	valid
8.0ms	123×	body	128	invalid

Compiler

Compiled 2463 to 3076 computations (-24.9% saved)

simplify146.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4864	10
1	4864	10

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

11.8b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
11.1b	(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite66.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_19878`
10×	`*-un-lft-identity_binary64_19856`
9×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
8×	`add-cube-cbrt_binary64_19891`
6×	`cancel-sign-sub-inv_binary64_19822`
5×	`associate-r_binary64_19796`
4×	`pow1_binary64_19917` `associate-*r/_binary64_19798` `distribute-rgt-in_binary64_19806` `distribute-lft-in_binary64_19805`
3×	`times-frac_binary64_19862` `associate-/r_binary64_19800` `associate-l*_binary64_19797`
2×	`prod-exp_binary64_19905` `div-exp_binary64_19907` `add-log-exp_binary64_19895` `cbrt-undiv_binary64_19890` `cbrt-unprod_binary64_19889` `flip3--_binary64_19860` `associate-/l/_binary64_19803` `flip--_binary64_19831` `sub-neg_binary64_19849`
1×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `div-inv_binary64_19853` `associate-/l_binary64_19801` `pow-prod-down_binary64_19927` `unswap-sqr_binary64_19824` `difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808` `-commutative_binary64_19787`

Counts

2 → 53

Calls

2 calls:

8.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 710 to 208 computations (70.7% saved)

series368.0ms (7.1%)

Error

2.0b

Counts

2 → 30

Calls

2 calls:

210.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
140.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5062	790

prune61.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	6	84

Error

0.0b

Counts

84 → 6

Compiler

Compiled 840 to 200 computations (76.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) y)
3.4b	(*.f64 x (/.f64 (-.f64 y z) y))

rewrite74.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-sqr-sqrt_binary64_19878`
36×	`*-un-lft-identity_binary64_19856`
31×	`times-frac_binary64_19862`
22×	`add-cube-cbrt_binary64_19891`
19×	`associate-r_binary64_19796`
9×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
7×	`difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`
5×	`associate-/l*_binary64_19801`
4×	`pow1_binary64_19917`
3×	`associate-l_binary64_19797` `associate-/r*_binary64_19800`
2×	`div-exp_binary64_19907` `prod-exp_binary64_19905` `add-log-exp_binary64_19895` `cbrt-unprod_binary64_19889` `cbrt-undiv_binary64_19890` `unswap-sqr_binary64_19824` `div-inv_binary64_19853` `associate-/l/_binary64_19803`
1×	`pow-prod-down_binary64_19927` `associate-r/_binary64_19798` `-commutative_binary64_19787` `frac-2neg_binary64_19867` `div-sub_binary64_19861` `clear-num_binary64_19855` `flip3--_binary64_19860` `flip--_binary64_19831`

Counts

2 → 76

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms	(/.f64 (-.f64 y z) y)

Compiler

Compiled 1133 to 278 computations (75.5% saved)

series310.0ms (6%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

203.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
93.0ms	(/.f64 (-.f64 y z) y)

Compiler

Compiled 423 to 307 computations (27.4% saved)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5076	1200

prune72.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Error

0.0b

Counts

109 → 6

Compiler

Compiled 1223 to 344 computations (71.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 y z))
3.4b	(/.f64 x (/.f64 y (-.f64 y z)))

rewrite141.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_19862`
102×	`add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856`
70×	`add-cube-cbrt_binary64_19891`
26×	`associate-/r*_binary64_19800`
16×	`difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`
11×	`associate-/r/_binary64_19802`
9×	`add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
6×	`div-inv_binary64_19853` `associate-/l*_binary64_19801`
5×	`flip3--_binary64_19860` `flip--_binary64_19831`
4×	`div-exp_binary64_19907` `cbrt-undiv_binary64_19890`
2×	`pow1_binary64_19917` `add-log-exp_binary64_19895` `frac-2neg_binary64_19867` `clear-num_binary64_19855`

Counts

2 → 139

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
5.0ms	(/.f64 y (-.f64 y z))

Compiler

Compiled 2456 to 567 computations (76.9% saved)

series323.0ms (6.3%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

221.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
86.0ms	(/.f64 y (-.f64 y z))

Compiler

Compiled 648 to 473 computations (27% saved)

simplify92.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4968	3051
1	4968	3051

prune119.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	169	6	175

Error

Counts

175 → 6

Compiler

Compiled 2481 to 483 computations (80.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.2b	(*.f64 y (/.f64 1 (-.f64 y z)))
3.4b	(/.f64 x (*.f64 y (/.f64 1 (-.f64 y z))))

rewrite137.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64_19878`
40×	`*-un-lft-identity_binary64_19856`
35×	`times-frac_binary64_19862`
31×	`add-exp-log_binary64_19894`
25×	`add-cube-cbrt_binary64_19891`
21×	`associate-r_binary64_19796`
19×	`add-cbrt-cube_binary64_19892`
11×	`div-exp_binary64_19907`
8×	`prod-exp_binary64_19905`
7×	`difference-of-squares_binary64_19825` `distribute-lft-out--_binary64_19808`
6×	`pow1_binary64_19917` `cbrt-undiv_binary64_19890` `associate-/r/_binary64_19802` `associate-/l_binary64_19801` `associate-/r_binary64_19800`
4×	`cbrt-unprod_binary64_19889`
3×	`1-exp_binary64_19900` `rec-exp_binary64_19906` `add-log-exp_binary64_19895` `div-inv_binary64_19853` `unswap-sqr_binary64_19824` `associate-l_binary64_19797`
2×	`frac-2neg_binary64_19867` `clear-num_binary64_19855` `un-div-inv_binary64_19854` `associate-*r/_binary64_19798` `flip3--_binary64_19860` `flip--_binary64_19831`
1×	`pow-prod-down_binary64_19927` `*-commutative_binary64_19787` `inv-pow_binary64_19941` `pow-flip_binary64_19930`

Counts

3 → 112

Calls

3 calls:

14.0ms	(*.f64 y (/.f64 1 (-.f64 y z)))
9.0ms	(/.f64 x (*.f64 y (/.f64 1 (-.f64 y z))))
6.0ms	(/.f64 1 (-.f64 y z))

Compiler

Compiled 1826 to 893 computations (51.1% saved)

series371.0ms (7.2%)

Error

Counts

3 → 42

Calls

3 calls:

197.0ms	(/.f64 x (*.f64 y (/.f64 1 (-.f64 y z))))
86.0ms	(*.f64 y (/.f64 1 (-.f64 y z)))
63.0ms	(/.f64 1 (-.f64 y z))

Compiler

Compiled 1023 to 764 computations (25.3% saved)

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4952	1632
1	4952	1632

prune106.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	154	6	160

Error

Counts

160 → 6

Compiler

Compiled 1815 to 675 computations (62.8% saved)

regimes349.0ms (6.8%)

Accuracy

Total 1.7b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 1562 to 1131 computations (27.6% saved)

bsearch37.0ms (0.7%)

Steps

Iters	Range		Point
10	1.1757749937379634e-48	7.108146697117781e-37	1.5785981729024707e-43
7	-3.8009338919866576e+51	-1.5931055140167668e+49	-7.595539797448695e+50

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	42
1	59	42

end0.0ms (0%)

sample973.0ms (18.8%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	128	valid
43.0ms	1559×	body	128	invalid

Compiler

Compiled 427 to 306 computations (28.3% saved)

Details

analyze826.0ms (16%)

sample362.0ms (7%)

simplify146.0ms (2.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite66.0ms (1.3%)

series368.0ms (7.1%)

simplify53.0ms (1%)

prune61.0ms (1.2%)

localize5.0ms (0.1%)

rewrite74.0ms (1.4%)

series310.0ms (6%)

simplify73.0ms (1.4%)

prune72.0ms (1.4%)

localize6.0ms (0.1%)

rewrite141.0ms (2.7%)

series323.0ms (6.3%)

simplify92.0ms (1.8%)

prune119.0ms (2.3%)

localize6.0ms (0.1%)

rewrite137.0ms (2.7%)

series371.0ms (7.2%)

simplify81.0ms (1.6%)

prune106.0ms (2%)

regimes349.0ms (6.8%)

bsearch37.0ms (0.7%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample973.0ms (18.8%)

Profiling