Details

analyze1.2s (12.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4890	52
1	4890	52
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
0%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
3.0ms	47×	body	128	invalid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify617.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (606.0ms)

Iter	Nodes	Cost
0	5659	13

prune4.0ms (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

9.4b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
8.7b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite136.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

9.3b

Rules

21×	`add-sqr-sqrt_binary64_19196`
19×	`*-un-lft-identity_binary64_19174`
17×	`add-cube-cbrt_binary64_19209`
12×	`cancel-sign-sub-inv_binary64_19140`
9×	`times-frac_binary64_19180`
8×	`distribute-rgt-in_binary64_19124` `associate-+r+_binary64_19106` `distribute-lft-in_binary64_19123`
7×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
5×	`pow1_binary64_19235` `add-log-exp_binary64_19213` `associate-r_binary64_19114`
4×	`sub-neg_binary64_19167`
3×	`associate-/l_binary64_19119` `associate-/r_binary64_19118` `associate-l_binary64_19115`
2×	`flip3-+_binary64_19177` `associate-/l/_binary64_19121` `flip-+_binary64_19148` `associate-*r/_binary64_19116`
1×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `frac-2neg_binary64_19185` `clear-num_binary64_19173` `div-inv_binary64_19171` `sum-log_binary64_19265` `+-commutative_binary64_19104` `pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `flip3--_binary64_19178` `flip--_binary64_19149` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126` `*-commutative_binary64_19105`

Counts

3 → 78

Calls

3 calls:

12.0ms	(*.f64 y (-.f64 z x))
9.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 1355 to 327 computations (75.9% saved)

series703.0ms (7.6%)

Error

2.1b

Counts

3 → 51

Calls

3 calls:

306.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
197.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
156.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1173 to 639 computations (45.5% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5018	1554

prune123.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	3	130

Error

0.0b

Counts

130 → 3

Compiler

Compiled 1649 to 347 computations (79% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
2.7b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite135.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_19196`
17×	`*-un-lft-identity_binary64_19174`
14×	`add-cube-cbrt_binary64_19209`
13×	`associate-l_binary64_19115`
12×	`cancel-sign-sub-inv_binary64_19140`
10×	`times-frac_binary64_19180`
8×	`distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `associate-+r+_binary64_19106`
7×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
6×	`associate-r_binary64_19114`
4×	`pow1_binary64_19235` `add-log-exp_binary64_19213` `sub-neg_binary64_19167`
2×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `flip3--_binary64_19178` `frac-times_binary64_19184` `flip--_binary64_19149` `unswap-sqr_binary64_19142` `associate-*r/_binary64_19116` `difference-of-squares_binary64_19143`
1×	`pow-prod-down_binary64_19245` `div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `associate-l/_binary64_19117` `div-inv_binary64_19171` `distribute-lft-out--_binary64_19126` `-commutative_binary64_19105` `sum-log_binary64_19265` `flip3-+_binary64_19177` `flip-+_binary64_19148` `+-commutative_binary64_19104`

Counts

2 → 66

Calls

2 calls:

22.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))
7.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))

Compiler

Compiled 1152 to 555 computations (51.8% saved)

series525.0ms (5.7%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

281.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
220.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

Compiler

Compiled 708 to 426 computations (39.8% saved)

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4995	1186
1	4995	1186

prune120.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Error

Counts

99 → 3

Compiler

Compiled 1247 to 588 computations (52.8% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
0.0b	(/.f64 (-.f64 1 y) z)
4.0b	(*.f64 x (/.f64 (-.f64 1 y) z))

rewrite201.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

51×	`add-sqr-sqrt_binary64_19196`
46×	`*-un-lft-identity_binary64_19174`
37×	`times-frac_binary64_19180`
25×	`add-cube-cbrt_binary64_19209`
22×	`associate-r_binary64_19114`
14×	`difference-of-squares_binary64_19143`
10×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
7×	`distribute-lft-out--_binary64_19126`
6×	`associate-/l*_binary64_19119`
5×	`pow1_binary64_19235` `add-log-exp_binary64_19213`
3×	`associate-l_binary64_19115` `associate-/r*_binary64_19118`
2×	`div-exp_binary64_19225` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `cbrt-undiv_binary64_19208` `unswap-sqr_binary64_19142` `div-inv_binary64_19171` `associate-/l/_binary64_19121`
1×	`pow-prod-down_binary64_19245` `associate-r/_binary64_19116` `-commutative_binary64_19105` `frac-2neg_binary64_19185` `div-sub_binary64_19179` `clear-num_binary64_19173` `flip3--_binary64_19178` `flip--_binary64_19149` `sum-log_binary64_19265` `flip3-+_binary64_19177` `flip-+_binary64_19148` `+-commutative_binary64_19104`

Counts

3 → 94

Calls

3 calls:

23.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
13.0ms	(/.f64 (-.f64 1 y) z)
7.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))

Compiler

Compiled 1636 to 967 computations (40.9% saved)

series709.0ms (7.6%)

Error

Counts

3 → 39

Calls

3 calls:

326.0ms	(+.f64 y (*.f64 x (/.f64 (-.f64 1 y) z)))
232.0ms	(*.f64 x (/.f64 (-.f64 1 y) z))
119.0ms	(/.f64 (-.f64 1 y) z)

Compiler

Compiled 944 to 599 computations (36.5% saved)

simplify144.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4950	1687
1	4950	1687

prune153.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	133	3	136

Error

Counts

136 → 3

Compiler

Compiled 1800 to 1013 computations (43.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
0.2b	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
8.7b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite276.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

90×	`times-frac_binary64_19180`
66×	`add-sqr-sqrt_binary64_19196`
64×	`*-un-lft-identity_binary64_19174`
62×	`add-cube-cbrt_binary64_19209`
19×	`add-exp-log_binary64_19212`
18×	`associate-/r*_binary64_19118`
13×	`add-cbrt-cube_binary64_19210`
12×	`cancel-sign-sub-inv_binary64_19140`
11×	`associate-/r/_binary64_19120`
8×	`div-exp_binary64_19225` `distribute-rgt-in_binary64_19124` `associate-+r+_binary64_19106` `distribute-lft-in_binary64_19123`
7×	`pow1_binary64_19235`
6×	`add-log-exp_binary64_19213` `div-inv_binary64_19171` `flip3-+_binary64_19177` `flip-+_binary64_19148` `associate-/l*_binary64_19119`
5×	`associate-r_binary64_19114`
4×	`cbrt-undiv_binary64_19208` `sub-neg_binary64_19167`
3×	`associate-l_binary64_19115`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `1-exp_binary64_19218` `rec-exp_binary64_19224` `associate-*r/_binary64_19116`
1×	`inv-pow_binary64_19259` `pow-flip_binary64_19248` `sum-log_binary64_19265` `+-commutative_binary64_19104` `pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `unswap-sqr_binary64_19142` `flip3--_binary64_19178` `flip--_binary64_19149` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126` `*-commutative_binary64_19105`

Counts

4 → 162

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
12.0ms	(*.f64 y (-.f64 z x))
8.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 3649 to 1052 computations (71.2% saved)

series1.1s (11.5%)

Error

Counts

4 → 73

Calls

4 calls:

331.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
305.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
218.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
140.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 2603 to 1666 computations (36% saved)

simplify161.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5104	4442

prune283.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	235	3	238

Error

Counts

238 → 3

Compiler

Compiled 4093 to 1030 computations (74.8% saved)

regimes475.0ms (5.1%)

Accuracy

Total 0.0b remaining (98.9%)

Threshold costs 0.0b (98.9%)

Compiler

Compiled 2530 to 1614 computations (36.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms (0%)

sample2.0s (21.4%)

Algorithm

1×

intervals

Results

419.0ms	8000×	body	128	valid
53.0ms	1101×	body	128	invalid

Compiler

Compiled 629 to 410 computations (34.8% saved)

Details

analyze1.2s (12.8%)

sample37.0ms (0.4%)

simplify617.0ms (6.6%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite136.0ms (1.5%)

series703.0ms (7.6%)

simplify93.0ms (1%)

prune123.0ms (1.3%)

localize12.0ms (0.1%)

rewrite135.0ms (1.5%)

series525.0ms (5.7%)

simplify92.0ms (1%)

prune120.0ms (1.3%)

localize13.0ms (0.1%)

rewrite201.0ms (2.2%)

series709.0ms (7.6%)

simplify144.0ms (1.6%)

prune153.0ms (1.6%)

localize17.0ms (0.2%)

rewrite276.0ms (3%)

series1.1s (11.5%)

simplify161.0ms (1.7%)

prune283.0ms (3%)

regimes475.0ms (5.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (21.4%)

Profiling