Details

analyze344.0ms (14.5%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	37×	body	80	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify80.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5002	13

prune7.0ms (0.3%)

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 31 to 30 computations (3.2% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 x (*.f64 y 1/4)) z)
0.0b	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.0b	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

rewrite36.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64` `pow1_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64` `flip--_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

3 → 50

Calls

3 calls:

15.0ms	(-.f64 (+.f64 x (*.f64 y 1/4)) z)
10.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
9.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)

series41.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)
14.0ms	(+.f64 1 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
8.0ms	(-.f64 (+.f64 x (*.f64 y 1/4)) z)

simplify73.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5319	1119

prune57.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

Compiler

Compiled 1150 to 795 computations (30.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
0.0b	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
0.0b	(-.f64 (/.f64 x y) (/.f64 z y))

rewrite38.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
20×	`times-frac_binary64`
12×	`associate-r_binary64`
9×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-log-exp_binary64`
5×	`sub-neg_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-*r/_binary64` `div-inv_binary64`
3×	`associate-l_binary64`
2×	`flip3--_binary64` `distribute-rgt-out--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sub-div_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

16.0ms	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
14.0ms	(-.f64 (/.f64 x y) (/.f64 z y))
5.0ms	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))

series24.0ms (1%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y)))
8.0ms	(+.f64 2 (*.f64 4 (-.f64 (/.f64 x y) (/.f64 z y))))
6.0ms	(-.f64 (/.f64 x y) (/.f64 z y))

simplify81.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4954	1156
1	4954	1156

prune45.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Merged error: 0b

Counts

79 → 2

Compiler

Compiled 1308 to 594 computations (54.6% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.3b	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.3b	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
0.3b	(.f64 (cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)) (cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)))

rewrite31.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`cbrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`times-frac_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
9×	`pow1/3_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)) (cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)))
6.0ms	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
6.0ms	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
6.0ms	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

series338.0ms (14.3%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(.f64 (cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y)) (cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (*.f64 y 1/4)) z)) y)))
71.0ms	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
71.0ms	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))
69.0ms	(cbrt.f64 (/.f64 (.f64 4 (-.f64 (+.f64 x (.f64 y 1/4)) z)) y))

simplify85.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5352	3292

prune190.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	115	2	117

Merged error: 0b

Counts

117 → 2

Compiler

Compiled 5196 to 3683 computations (29.1% saved)

regimes113.0ms (4.8%)

Compiler: Compiled 232 to 202 computations (12.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	16
1	30	16

end0.0ms (0%)

sample735.0ms (31%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	80	valid
34.0ms	979×	body	80	invalid

Compiler

Compiled 76 to 67 computations (11.8% saved)

Details

analyze344.0ms (14.5%)

sample18.0ms (0.8%)

simplify80.0ms (3.4%)

prune7.0ms (0.3%)

localize8.0ms (0.4%)

rewrite36.0ms (1.5%)

series41.0ms (1.7%)

simplify73.0ms (3.1%)

prune57.0ms (2.4%)

localize8.0ms (0.3%)

rewrite38.0ms (1.6%)

series24.0ms (1%)

simplify81.0ms (3.4%)

prune45.0ms (1.9%)

localize13.0ms (0.5%)

rewrite31.0ms (1.3%)

series338.0ms (14.3%)

simplify85.0ms (3.6%)

prune190.0ms (8%)

regimes113.0ms (4.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample735.0ms (31%)

Profiling