Details

analyze365.0ms (17%)

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
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%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	41	10
1	41	10

prune2.0ms (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

Merged error: 11.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
11.3b	(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

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

series140.0ms (6.5%)

Counts

2 → 6

Calls

2 calls:

84.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
56.0ms	(*.f64 x (+.f64 y z))

simplify65.0ms (3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5079	553

prune81.0ms (3.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0b

Counts

53 → 4

Compiler

Compiled 1248 to 596 computations (52.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 y z) z)
1.7b	(*.f64 x (/.f64 (+.f64 y z) z))

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64` `times-frac_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 68

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (+.f64 y z) z))
6.0ms	(/.f64 (+.f64 y z) z)

series114.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

80.0ms	(*.f64 x (/.f64 (+.f64 y z) z))
34.0ms	(/.f64 (+.f64 y z) z)

simplify50.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5245	932

prune43.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0b

Counts

78 → 4

Compiler

Compiled 964 to 230 computations (76.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 y z))
1.8b	(/.f64 x (/.f64 z (+.f64 y z)))

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64`
94×	`*-un-lft-identity_binary64`
62×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
22×	`associate-/r*_binary64`
16×	`distribute-lft-out_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 123

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
5.0ms	(/.f64 z (+.f64 y z))

series150.0ms (7%)

Counts

2 → 6

Calls

2 calls:

100.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
49.0ms	(/.f64 z (+.f64 y z))

simplify87.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5351	2384

prune94.0ms (4.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Merged error: 0b

Counts

133 → 4

Compiler

Compiled 2101 to 487 computations (76.8% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 x y) z))
4.7b	(/.f64 (*.f64 x y) z)

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 x y) z))
5.0ms	(/.f64 (*.f64 x y) z)

series81.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

45.0ms	(+.f64 x (/.f64 (*.f64 x y) z))
36.0ms	(/.f64 (*.f64 x y) z)

simplify78.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5909	440

prune23.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	39	4	43

Merged error: 0b

Counts

43 → 4

Compiler

Compiled 425 to 115 computations (72.9% saved)

regimes60.0ms (2.8%)

Compiler: Compiled 114 to 102 computations (10.5% saved)

bsearch34.0ms (1.6%)

Steps

Iters	Range		Point
9	2.342628173515727e-31	1.9738627518604608e-22	4.013452996809398e-24
9	-6.475448216964607e-227	-8.19069465565476e-236	-4.79817812939288e-228

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	42
1	21	42

end0.0ms (0%)

sample548.0ms (25.5%)

Algorithm

1×

intervals

Results

231.0ms	8000×	body	128	valid
21.0ms	774×	body	128	invalid

Compiler

Compiled 80 to 59 computations (26.3% saved)

Details

analyze365.0ms (17%)

sample17.0ms (0.8%)

simplify9.0ms (0.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite18.0ms (0.8%)

series140.0ms (6.5%)

simplify65.0ms (3%)

prune81.0ms (3.8%)

localize5.0ms (0.2%)

rewrite24.0ms (1.1%)

series114.0ms (5.3%)

simplify50.0ms (2.3%)

prune43.0ms (2%)

localize6.0ms (0.3%)

rewrite27.0ms (1.2%)

series150.0ms (7%)

simplify87.0ms (4.1%)

prune94.0ms (4.4%)

localize6.0ms (0.3%)

rewrite12.0ms (0.6%)

series81.0ms (3.8%)

simplify78.0ms (3.6%)

prune23.0ms (1.1%)

regimes60.0ms (2.8%)

bsearch34.0ms (1.6%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample548.0ms (25.5%)

Profiling