Details

analyze814.0ms (31.6%)

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
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample26.0ms (1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify179.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune6.0ms (0.2%)

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: 0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_5500` `add-sqr-sqrt_binary64_5556`
10×	`*-un-lft-identity_binary64_5534`
8×	`associate-+r+_binary64_5466` `distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483` `add-cube-cbrt_binary64_5569`
5×	`associate-r_binary64_5474`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `add-exp-log_binary64_5572` `pow1_binary64_5595` `sub-neg_binary64_5527`
3×	`associate-l_binary64_5475`
2×	`associate-*r/_binary64_5476`
1×	`flip-+_binary64_5508` `cbrt-unprod_binary64_5567` `flip3-+_binary64_5537` `+-commutative_binary64_5464` `distribute-lft-out--_binary64_5486` `sum-log_binary64_5625` `*-commutative_binary64_5465` `flip--_binary64_5509` `unswap-sqr_binary64_5502` `difference-of-squares_binary64_5503` `flip3--_binary64_5538` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`

Counts

2 → 49

Calls

2 calls:

16.0ms	(*.f64 x (-.f64 y z))
8.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

series112.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(*.f64 x (-.f64 y z))
51.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

simplify104.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5130	584

prune52.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Merged error: 0b

Counts

57 → 2

Compiler

Compiled 661 to 159 computations (75.9% saved)

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_5556`
7×	`*-un-lft-identity_binary64_5534`
6×	`associate-l_binary64_5475`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `add-exp-log_binary64_5572` `add-cube-cbrt_binary64_5569` `pow1_binary64_5595`
3×	`associate-r_binary64_5474`
2×	`associate-*l/_binary64_5477` `difference-of-squares_binary64_5503`
1×	`flip-+_binary64_5508` `cbrt-unprod_binary64_5567` `flip3-+_binary64_5537` `+-commutative_binary64_5464` `distribute-lft-out--_binary64_5486` `sum-log_binary64_5625` `*-commutative_binary64_5465` `flip--_binary64_5509` `unswap-sqr_binary64_5502` `flip3--_binary64_5538` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`

Counts

2 → 34

Calls

2 calls:

14.0ms	(*.f64 (-.f64 1 x) z)
8.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

series89.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
38.0ms	(*.f64 (-.f64 1 x) z)

simplify110.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5022	464

prune47.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Merged error: 0b

Counts

42 → 2

Compiler

Compiled 540 to 246 computations (54.4% saved)

regimes63.0ms (2.5%)

Compiler: Compiled 88 to 90 computations (-2.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample888.0ms (34.5%)

Algorithm

1×

intervals

Results

414.0ms	8000×	body	128	valid
33.0ms	649×	body	128	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

Details

analyze814.0ms (31.6%)

sample26.0ms (1%)

simplify179.0ms (6.9%)

prune6.0ms (0.2%)

localize10.0ms (0.4%)

rewrite29.0ms (1.1%)

series112.0ms (4.4%)

simplify104.0ms (4.1%)

prune52.0ms (2%)

localize13.0ms (0.5%)

rewrite26.0ms (1%)

series89.0ms (3.5%)

simplify110.0ms (4.3%)

prune47.0ms (1.8%)

regimes63.0ms (2.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample888.0ms (34.5%)

Profiling