Details

analyze82.0ms (4.8%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample18.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify51.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5037	25

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite30.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `associate-r_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
8.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(+.f64 (.f64 a a) (.f64 b b))

series36.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
6.0ms	(+.f64 (.f64 a a) (.f64 b b))
3.0ms	(.f64 4 (.f64 b b))

simplify96.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4953	1108
1	4953	1108

prune64.0ms (3.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

Compiler

Compiled 1595 to 757 computations (52.5% saved)

localize16.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
2.9b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite42.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
15×	`add-log-exp_binary64`
7×	`sum-log_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64` `unswap-sqr_binary64`

Counts

4 → 72

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
7.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
6.0ms	(.f64 4 (.f64 b b))

series43.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
11.0ms	(+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))
9.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
6.0ms	(.f64 4 (.f64 b b))

simplify114.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4979	1537
1	4979	1537

prune83.0ms (4.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	84	2	86

Merged error: 0b

Counts

86 → 2

Compiler

Compiled 2444 to 1578 computations (35.4% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (.f64 a a) (.f64 b b))
4.0b	(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a a) (*.f64 b b))) 2))
8.8b	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))

rewrite20.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `log-div_binary64` `flip-+_binary64`
1×	`exp-lft-sqr_binary64` `associate-r_binary64` `rem-log-exp_binary64` `log-pow_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

6.0ms	(.f64 4 (.f64 b b))
5.0ms	(+.f64 (.f64 a a) (.f64 b b))
5.0ms	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))
3.0ms	(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a a) (*.f64 b b))) 2))

series28.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(exp.f64 (.f64 (log.f64 (+.f64 (.f64 a a) (*.f64 b b))) 2))
9.0ms	(log.f64 (+.f64 (.f64 a a) (.f64 b b)))
6.0ms	(+.f64 (.f64 a a) (.f64 b b))
4.0ms	(.f64 4 (.f64 b b))

simplify112.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5017	864

prune47.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	2	69

Merged error: 0b

Counts

69 → 2

Compiler

Compiled 1529 to 731 computations (52.2% saved)

regimes83.0ms (4.8%)

Compiler: Compiled 192 to 152 computations (20.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	37
1	36	37

end0.0ms (0%)

sample715.0ms (41.8%)

Algorithm

1×

intervals

Results

364.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Compiler

Compiled 87 to 67 computations (23% saved)

Details

analyze82.0ms (4.8%)

sample18.0ms (1%)

simplify51.0ms (3%)

prune4.0ms (0.2%)

localize10.0ms (0.6%)

rewrite30.0ms (1.7%)

series36.0ms (2.1%)

simplify96.0ms (5.6%)

prune64.0ms (3.7%)

localize16.0ms (0.9%)

rewrite42.0ms (2.4%)

series43.0ms (2.5%)

simplify114.0ms (6.7%)

prune83.0ms (4.9%)

localize14.0ms (0.8%)

rewrite20.0ms (1.2%)

series28.0ms (1.7%)

simplify112.0ms (6.6%)

prune47.0ms (2.7%)

regimes83.0ms (4.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample715.0ms (41.8%)

Profiling