Details

analyze988.0ms (11.9%)

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)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
2.0ms	42×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify668.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (653.0ms)

Iter	Nodes	Cost
0	5152	13

prune4.0ms (0.1%)

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

10.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
9.7b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite116.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`*-un-lft-identity_binary64_17810`
9×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
8×	`add-sqr-sqrt_binary64_17832`
6×	`add-cube-cbrt_binary64_17845`
5×	`associate-r_binary64_17750`
4×	`pow1_binary64_17871` `associate-*r/_binary64_17752`
3×	`times-frac_binary64_17816` `associate-/r_binary64_17754` `associate-l*_binary64_17751`
2×	`prod-exp_binary64_17859` `div-exp_binary64_17861` `add-log-exp_binary64_17849` `cbrt-undiv_binary64_17844` `cbrt-unprod_binary64_17843` `flip3-+_binary64_17813` `associate-/l/_binary64_17757` `flip-+_binary64_17784` `distribute-lft-out_binary64_17761`
1×	`frac-2neg_binary64_17821` `clear-num_binary64_17809` `div-inv_binary64_17807` `associate-/l_binary64_17755` `pow-prod-down_binary64_17881` `unswap-sqr_binary64_17778` `distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759` `distribute-lft-out--_binary64_17762` `-commutative_binary64_17741`

Counts

2 → 47

Calls

2 calls:

18.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
16.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 770 to 389 computations (49.5% saved)

series487.0ms (5.8%)

Error

2.2b

Counts

2 → 30

Calls

2 calls:

285.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)
170.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))

Compiler

Compiled 694 to 431 computations (37.9% saved)

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5150	929

prune104.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Error

Counts

78 → 3

Compiler

Compiled 926 to 472 computations (49% saved)

localize12.0ms (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))
3.1b	(*.f64 (/.f64 x z) y)

rewrite129.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_17832`
14×	`*-un-lft-identity_binary64_17810`
13×	`associate-l_binary64_17751`
12×	`add-cube-cbrt_binary64_17845`
10×	`add-log-exp_binary64_17849` `times-frac_binary64_17816`
8×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
5×	`pow1_binary64_17871`
3×	`associate-r_binary64_17750` `cancel-sign-sub-inv_binary64_17776`
2×	`prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `associate-*l/_binary64_17753` `sum-log_binary64_17901` `diff-log_binary64_17902`
1×	`pow-prod-down_binary64_17881` `div-exp_binary64_17861` `cbrt-undiv_binary64_17844` `div-inv_binary64_17807` `*-commutative_binary64_17741` `frac-add_binary64_17818` `flip3-+_binary64_17813` `flip-+_binary64_17784` `+-commutative_binary64_17740` `flip3--_binary64_17814` `sub-neg_binary64_17803` `flip--_binary64_17785` `difference-of-squares_binary64_17779` `distribute-lft-out--_binary64_17762` `associate--l+_binary64_17747`

Counts

3 → 62

Calls

3 calls:

21.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
12.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
12.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 1200 to 286 computations (76.2% saved)

series772.0ms (9.3%)

Error

Counts

3 → 36

Calls

3 calls:

296.0ms	(-.f64 (+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y)) x)
263.0ms	(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) y))
179.0ms	(*.f64 (/.f64 x z) y)

Compiler

Compiled 973 to 552 computations (43.3% saved)

simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4979	1145
1	4979	1145

prune113.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 1338 to 452 computations (66.2% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite323.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

162×	`times-frac_binary64_17816`
158×	`*-un-lft-identity_binary64_17810`
110×	`add-sqr-sqrt_binary64_17832`
78×	`add-cube-cbrt_binary64_17845`
32×	`distribute-lft-out--_binary64_17762`
30×	`associate-/r*_binary64_17754`
16×	`difference-of-squares_binary64_17779` `distribute-lft-out_binary64_17761`
11×	`associate-/r/_binary64_17756`
9×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
6×	`div-inv_binary64_17807` `associate-/l*_binary64_17755`
5×	`flip3--_binary64_17814` `flip--_binary64_17785`
4×	`div-exp_binary64_17861` `cbrt-undiv_binary64_17844`
2×	`pow1_binary64_17871` `add-log-exp_binary64_17849` `frac-2neg_binary64_17821` `clear-num_binary64_17809`

Counts

2 → 155

Calls

2 calls:

21.0ms	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
14.0ms	(/.f64 z (-.f64 (+.f64 y 1) z))

Compiler

Compiled 3248 to 1813 computations (44.2% saved)

series574.0ms (6.9%)

Error

Counts

2 → 38

Calls

2 calls:

286.0ms	(/.f64 x (/.f64 z (-.f64 (+.f64 y 1) z)))
218.0ms	(/.f64 z (-.f64 (+.f64 y 1) z))

Compiler

Compiled 1698 to 1238 computations (27.1% saved)

simplify143.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5375	4683

prune294.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	193	3	196

Error

Counts

196 → 3

Compiler

Compiled 3683 to 1925 computations (47.7% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 y 1) z) z)
2.9b	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))

rewrite174.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`*-un-lft-identity_binary64_17810`
43×	`add-sqr-sqrt_binary64_17832`
37×	`times-frac_binary64_17816`
24×	`add-cube-cbrt_binary64_17845`
22×	`associate-r_binary64_17750`
14×	`distribute-lft-out--_binary64_17762`
9×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
7×	`difference-of-squares_binary64_17779` `distribute-lft-out_binary64_17761`
6×	`associate-/l*_binary64_17755`
4×	`pow1_binary64_17871`
3×	`associate-l_binary64_17751` `associate-/r*_binary64_17754`
2×	`div-exp_binary64_17861` `prod-exp_binary64_17859` `add-log-exp_binary64_17849` `cbrt-unprod_binary64_17843` `cbrt-undiv_binary64_17844` `unswap-sqr_binary64_17778` `div-inv_binary64_17807` `associate-/l/_binary64_17757`
1×	`pow-prod-down_binary64_17881` `associate-r/_binary64_17752` `-commutative_binary64_17741` `frac-2neg_binary64_17821` `div-sub_binary64_17815` `clear-num_binary64_17809` `flip3--_binary64_17814` `flip--_binary64_17785`

Counts

2 → 83

Calls

2 calls:

24.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
15.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 1496 to 878 computations (41.3% saved)

series462.0ms (5.5%)

Error

Counts

2 → 27

Calls

2 calls:

287.0ms	(*.f64 x (/.f64 (-.f64 (+.f64 y 1) z) z))
152.0ms	(/.f64 (-.f64 (+.f64 y 1) z) z)

Compiler

Compiled 597 to 417 computations (30.2% saved)

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5174	1620

prune145.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Error

Counts

113 → 3

Compiler

Compiled 1561 to 908 computations (41.8% saved)

regimes548.0ms (6.6%)

Accuracy

Total 0.1b remaining (97.2%)

Threshold costs 0.1b (97.2%)

Compiler

Compiled 1490 to 1229 computations (17.5% saved)

bsearch2.0ms (0%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	78
1	55	78

end0.0ms (0%)

sample1.9s (22.5%)

Algorithm

1×

intervals

Results

433.0ms	8000×	body	128	valid
60.0ms	1055×	body	128	invalid

Compiler

Compiled 439 to 348 computations (20.7% saved)

Details

analyze988.0ms (11.9%)

sample34.0ms (0.4%)

simplify668.0ms (8%)

prune4.0ms (0.1%)

localize12.0ms (0.1%)

rewrite116.0ms (1.4%)

series487.0ms (5.8%)

simplify93.0ms (1.1%)

prune104.0ms (1.3%)

localize12.0ms (0.1%)

rewrite129.0ms (1.5%)

series772.0ms (9.3%)

simplify123.0ms (1.5%)

prune113.0ms (1.4%)

localize13.0ms (0.2%)

rewrite323.0ms (3.9%)

series574.0ms (6.9%)

simplify143.0ms (1.7%)

prune294.0ms (3.5%)

localize13.0ms (0.2%)

rewrite174.0ms (2.1%)

series462.0ms (5.5%)

simplify101.0ms (1.2%)

prune145.0ms (1.7%)

regimes548.0ms (6.6%)

bsearch2.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.9s (22.5%)

Profiling