Details

analyze534.0ms (10.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5176	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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify390.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (385.0ms)

Iter	Nodes	Cost
0	5152	13

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

11.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
10.8b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite72.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`*-un-lft-identity_binary64_16787`
9×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
8×	`add-sqr-sqrt_binary64_16809`
6×	`add-cube-cbrt_binary64_16822`
5×	`associate-r_binary64_16727`
4×	`pow1_binary64_16848` `associate-*r/_binary64_16729`
3×	`times-frac_binary64_16793` `associate-/r_binary64_16731` `associate-l*_binary64_16728`
2×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `add-log-exp_binary64_16826` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `flip3-+_binary64_16790` `associate-/l/_binary64_16734` `flip-+_binary64_16761` `distribute-lft-out_binary64_16738`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l_binary64_16732` `pow-prod-down_binary64_16858` `unswap-sqr_binary64_16755` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `distribute-lft-out--_binary64_16739` `-commutative_binary64_16718`

Counts

2 → 47

Calls

2 calls:

10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
9.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 770 to 389 computations (49.5% saved)

series290.0ms (5.8%)

Error

1.3b

Counts

2 → 30

Calls

2 calls:

160.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
111.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 694 to 431 computations (37.9% saved)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5150	929

prune64.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Error

0.0b

Counts

78 → 5

Compiler

Compiled 937 to 482 computations (48.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
0.0b	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
3.0b	(*.f64 (/.f64 x z) y)

rewrite70.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_16809`
14×	`*-un-lft-identity_binary64_16787`
13×	`associate-l_binary64_16728`
12×	`add-cube-cbrt_binary64_16822`
10×	`add-log-exp_binary64_16826` `times-frac_binary64_16793`
8×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`pow1_binary64_16848`
3×	`associate-r_binary64_16727` `cancel-sign-sub-inv_binary64_16753`
2×	`prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `associate-*l/_binary64_16730` `sum-log_binary64_16878` `diff-log_binary64_16879`
1×	`pow-prod-down_binary64_16858` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `div-inv_binary64_16784` `*-commutative_binary64_16718` `frac-add_binary64_16795` `flip3-+_binary64_16790` `flip-+_binary64_16761` `+-commutative_binary64_16717` `flip3--_binary64_16791` `sub-neg_binary64_16780` `flip--_binary64_16762` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `associate--l+_binary64_16724`

Counts

3 → 62

Calls

3 calls:

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

Compiler

Compiled 1200 to 286 computations (76.2% saved)

series429.0ms (8.6%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

164.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
148.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
100.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 973 to 552 computations (43.3% saved)

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4979	1145
1	4979	1145

prune68.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Error

Counts

103 → 5

Compiler

Compiled 1353 to 461 computations (65.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (-.f64 (+.f64 y 1) z))
2.8b	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))

rewrite194.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

162×	`times-frac_binary64_16793`
158×	`*-un-lft-identity_binary64_16787`
110×	`add-sqr-sqrt_binary64_16809`
78×	`add-cube-cbrt_binary64_16822`
32×	`distribute-lft-out--_binary64_16739`
30×	`associate-/r*_binary64_16731`
16×	`difference-of-squares_binary64_16756` `distribute-lft-out_binary64_16738`
11×	`associate-/r/_binary64_16733`
9×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
6×	`div-inv_binary64_16784` `associate-/l*_binary64_16732`
5×	`flip3--_binary64_16791` `flip--_binary64_16762`
4×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821`
2×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `frac-2neg_binary64_16798` `clear-num_binary64_16786`

Counts

2 → 155

Calls

2 calls:

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

Compiler

Compiled 3248 to 1813 computations (44.2% saved)

series331.0ms (6.6%)

Error

Counts

2 → 38

Calls

2 calls:

162.0ms	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
129.0ms	(/.f64 z (-.f64 (+.f64 y 1) z))

Compiler

Compiled 1702 to 1238 computations (27.3% saved)

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5503	4689

prune178.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	193	5	198

Error

Counts

198 → 5

Compiler

Compiled 3702 to 1934 computations (47.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 y 1) z) z)
3.3b	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))

rewrite109.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`*-un-lft-identity_binary64_16787`
43×	`add-sqr-sqrt_binary64_16809`
37×	`times-frac_binary64_16793`
24×	`add-cube-cbrt_binary64_16822`
22×	`associate-r_binary64_16727`
14×	`distribute-lft-out--_binary64_16739`
9×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
7×	`difference-of-squares_binary64_16756` `distribute-lft-out_binary64_16738`
6×	`associate-/l*_binary64_16732`
4×	`pow1_binary64_16848`
3×	`associate-l_binary64_16728` `associate-/r*_binary64_16731`
2×	`div-exp_binary64_16838` `prod-exp_binary64_16836` `add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `cbrt-undiv_binary64_16821` `unswap-sqr_binary64_16755` `div-inv_binary64_16784` `associate-/l/_binary64_16734`
1×	`pow-prod-down_binary64_16858` `associate-r/_binary64_16729` `-commutative_binary64_16718` `frac-2neg_binary64_16798` `div-sub_binary64_16792` `clear-num_binary64_16786` `flip3--_binary64_16791` `flip--_binary64_16762`

Counts

2 → 83

Calls

2 calls:

16.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
9.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 1496 to 878 computations (41.3% saved)

series278.0ms (5.5%)

Error

Counts

2 → 27

Calls

2 calls:

166.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
99.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 597 to 417 computations (30.2% saved)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5174	1620

prune85.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	110	5	115

Error

Counts

115 → 5

Compiler

Compiled 1561 to 908 computations (41.8% saved)

regimes362.0ms (7.2%)

Accuracy

Total 0.2b remaining (98.8%)

Threshold costs 0.2b (98.8%)

Compiler

Compiled 2257 to 1763 computations (21.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	67
1	52	67

end0.0ms (0%)

sample1.2s (24.9%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
37.0ms	1076×	body	128	invalid

Compiler

Compiled 620 to 475 computations (23.4% saved)

Details

analyze534.0ms (10.7%)

sample19.0ms (0.4%)

simplify390.0ms (7.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite72.0ms (1.4%)

series290.0ms (5.8%)

simplify58.0ms (1.2%)

prune64.0ms (1.3%)

localize6.0ms (0.1%)

rewrite70.0ms (1.4%)

series429.0ms (8.6%)

simplify72.0ms (1.4%)

prune68.0ms (1.3%)

localize6.0ms (0.1%)

rewrite194.0ms (3.9%)

series331.0ms (6.6%)

simplify71.0ms (1.4%)

prune178.0ms (3.5%)

localize6.0ms (0.1%)

rewrite109.0ms (2.2%)

series278.0ms (5.5%)

simplify61.0ms (1.2%)

prune85.0ms (1.7%)

regimes362.0ms (7.2%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (24.9%)

Profiling