Details

analyze1.3s (4.6%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample72.0ms (0.2%)

Algorithm

1×

intervals

Results

31.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify552.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune13.0ms (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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite80.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_17435` `add-sqr-sqrt_binary64_17491`
10×	`*-un-lft-identity_binary64_17469`
8×	`associate-+r+_binary64_17401` `distribute-rgt-in_binary64_17419` `add-cube-cbrt_binary64_17504` `distribute-lft-in_binary64_17418`
5×	`associate-r_binary64_17409`
4×	`sub-neg_binary64_17462` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
3×	`associate-l_binary64_17410`
2×	`associate-*r/_binary64_17411`
1×	`*-commutative_binary64_17400` `difference-of-squares_binary64_17438` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `distribute-lft-out--_binary64_17421` `cbrt-unprod_binary64_17502` `sum-log_binary64_17560` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

2 → 49

Calls

2 calls:

49.0ms	(*.f64 y (-.f64 x z))
14.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

series191.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

116.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
76.0ms	(*.f64 y (-.f64 x z))

simplify286.0ms (1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	5130	584

prune709.0ms (2.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	35	20	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	22	57

Merged error: 0b

Counts

57 → 22

Compiler

Compiled 991 to 354 computations (64.3% saved)

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite76.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_17435` `add-sqr-sqrt_binary64_17491`
10×	`*-un-lft-identity_binary64_17469`
8×	`associate-+r+_binary64_17401` `distribute-rgt-in_binary64_17419` `add-cube-cbrt_binary64_17504` `distribute-lft-in_binary64_17418`
5×	`associate-r_binary64_17409`
4×	`sub-neg_binary64_17462` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
3×	`associate-l_binary64_17410`
2×	`associate-*r/_binary64_17411`
1×	`*-commutative_binary64_17400` `difference-of-squares_binary64_17438` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `distribute-lft-out--_binary64_17421` `cbrt-unprod_binary64_17502` `sum-log_binary64_17560` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

2 → 49

Calls

2 calls:

44.0ms	(*.f64 y (-.f64 x z))
17.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

series359.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

223.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
136.0ms	(*.f64 y (-.f64 x z))

simplify231.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (185.0ms)

Iter	Nodes	Cost
0	5130	584

prune1.2s (4.3%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	37	18	55
Fresh	4	16	20
Picked	0	1	1
Done	0	1	1
Total	41	36	77

Merged error: 0b

Counts

77 → 36

Compiler

Compiled 1371 to 631 computations (54% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_17435` `add-sqr-sqrt_binary64_17491`
10×	`*-un-lft-identity_binary64_17469`
8×	`associate-+r+_binary64_17401` `distribute-rgt-in_binary64_17419` `add-cube-cbrt_binary64_17504` `distribute-lft-in_binary64_17418`
5×	`associate-r_binary64_17409`
4×	`sub-neg_binary64_17462` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
3×	`associate-l_binary64_17410`
2×	`associate-*r/_binary64_17411`
1×	`*-commutative_binary64_17400` `difference-of-squares_binary64_17438` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `distribute-lft-out--_binary64_17421` `cbrt-unprod_binary64_17502` `sum-log_binary64_17560` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

2 → 49

Calls

2 calls:

14.0ms	(*.f64 y (-.f64 x z))
9.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

series207.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

111.0ms	(*.f64 y (-.f64 x z))
96.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

simplify297.0ms (1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5130	584

prune1.4s (4.9%)

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	37	18	55
Fresh	5	28	33
Picked	0	1	1
Done	0	2	2
Total	42	49	91

Merged error: 0b

Counts

91 → 49

Compiler

Compiled 1764 to 926 computations (47.5% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite83.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_17469` `add-sqr-sqrt_binary64_17491`
6×	`add-cube-cbrt_binary64_17504` `cancel-sign-sub-inv_binary64_17435`
5×	`associate-r_binary64_17409`
4×	`distribute-rgt-in_binary64_17419` `add-exp-log_binary64_17507` `distribute-lft-in_binary64_17418` `add-log-exp_binary64_17508` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
3×	`associate-l_binary64_17410`
2×	`sub-neg_binary64_17462` `associate-*r/_binary64_17411`
1×	`distribute-lft-out_binary64_17420` `*-commutative_binary64_17400` `difference-of-squares_binary64_17438` `flip3-+_binary64_17472` `flip-+_binary64_17443` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `pow-prod-down_binary64_17540` `+-commutative_binary64_17399` `distribute-lft-out--_binary64_17421` `cbrt-unprod_binary64_17502` `sum-log_binary64_17560` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

2 → 42

Calls

2 calls:

50.0ms	(*.f64 y (-.f64 x z))
26.0ms	(+.f64 z (pow.f64 (*.f64 y (-.f64 x z)) 1))

series294.0ms (1%)

Counts

2 → 6

Calls

2 calls:

221.0ms	(+.f64 z (pow.f64 (*.f64 y (-.f64 x z)) 1))
72.0ms	(*.f64 y (-.f64 x z))

simplify129.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4943	532
1	4943	532

prune896.0ms (3.1%)

Pruning

55 alts after pruning (51 fresh and 4 done)

	Pruned	Kept	Total
New	36	12	48
Fresh	6	39	45
Picked	0	1	1
Done	0	3	3
Total	42	55	97

Merged error: 0b

Counts

97 → 55

Compiler

Compiled 815 to 405 computations (50.3% saved)

regimes4.2s (14.4%)

Compiler: Compiled 8324 to 6006 computations (27.8% saved)

bsearch5.0s (17.3%)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	10
1	22	10

end0.0ms (0%)

sample11.2s (38.5%)

Algorithm

1×

intervals

Results

971.0ms	8000×	body	128	valid
123.0ms	746×	body	128	invalid

Compiler

Compiled 2182 to 1575 computations (27.8% saved)

Pareto

0.44446078869833155

Details

analyze1.3s (4.6%)

sample72.0ms (0.2%)

simplify552.0ms (1.9%)

prune13.0ms (0%)

localize13.0ms (0%)

rewrite80.0ms (0.3%)

series191.0ms (0.7%)

simplify286.0ms (1%)

prune709.0ms (2.4%)

localize22.0ms (0.1%)

rewrite76.0ms (0.3%)

series359.0ms (1.2%)

simplify231.0ms (0.8%)

prune1.2s (4.3%)

localize19.0ms (0.1%)

rewrite30.0ms (0.1%)

series207.0ms (0.7%)

simplify297.0ms (1%)

prune1.4s (4.9%)

localize20.0ms (0.1%)

rewrite83.0ms (0.3%)

series294.0ms (1%)

simplify129.0ms (0.4%)

prune896.0ms (3.1%)

regimes4.2s (14.4%)

bsearch5.0s (17.3%)

simplify31.0ms (0.1%)

end0.0ms (0%)

sample11.2s (38.5%)

Profiling