Details

analyze355.0ms (10.7%)

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid
0.0ms	1×	body	80	nan

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify371.0ms (11.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (361.0ms)

Iter	Nodes	Cost
0	4890	18
1	4890	18

prune5.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
4×	`log-pow_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `associate-l_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series39.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
13.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
12.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4902	1039
1	4902	1039

prune67.0ms (2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	61	8	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	9	70

Merged error: 0b

Counts

70 → 9

Compiler

Compiled 1349 to 856 computations (36.5% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.0b	(*.f64 y (-.f64 1 z))
0.1b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
10×	`associate-r_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`associate-+r+_binary64`
6×	`associate-l_binary64`
4×	`sub-neg_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 83

Calls

4 calls:

10.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
7.0ms	(*.f64 y (-.f64 1 z))
5.0ms	(*.f64 y (log.f64 z))

series40.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 (.f64 x 1/2) (+.f64 (.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
13.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
7.0ms	(*.f64 y (log.f64 z))
5.0ms	(*.f64 y (-.f64 1 z))

simplify77.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5070	1267

prune73.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0b

Counts

104 → 8

Compiler

Compiled 1858 to 1049 computations (43.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
8×	`pow1_binary64`
6×	`log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
5×	`associate-r_binary64` `sum-log_binary64`
4×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `pow1/3_binary64` `log-pow_binary64` `associate-+l-_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series105.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
35.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
15.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5037	994

prune66.0ms (2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0b

Counts

89 → 8

Compiler

Compiled 1799 to 999 computations (44.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 y (.f64 2 (log.f64 (cbrt.f64 z))))
0.3b	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`log-prod_binary64`
54×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
36×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-+l+_binary64`
12×	`associate-+r+_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

11.0ms	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (log.f64 (cbrt.f64 z))))
7.0ms	(.f64 y (.f64 2 (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series75.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (log.f64 (cbrt.f64 z))))
21.0ms	(.f64 y (.f64 2 (log.f64 (cbrt.f64 z))))
17.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)

simplify96.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4912	1696
1	4912	1696

prune94.0ms (2.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	124	8	132

Merged error: 0b

Counts

132 → 8

Compiler

Compiled 3360 to 1745 computations (48.1% saved)

regimes315.0ms (9.5%)

Compiler: Compiled 1037 to 864 computations (16.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	18
1	27	18

end0.0ms (0%)

sample1.2s (35.8%)

Algorithm

1×

intervals

Results

356.0ms	8000×	body	80	valid
16.0ms	317×	body	80	invalid
2.0ms	65×	body	80	nan

Compiler

Compiled 176 to 148 computations (15.9% saved)

Details

analyze355.0ms (10.7%)

sample23.0ms (0.7%)

simplify371.0ms (11.2%)

prune5.0ms (0.1%)

localize9.0ms (0.3%)

rewrite29.0ms (0.9%)

series39.0ms (1.2%)

simplify82.0ms (2.5%)

prune67.0ms (2%)

localize10.0ms (0.3%)

rewrite33.0ms (1%)

series40.0ms (1.2%)

simplify77.0ms (2.3%)

prune73.0ms (2.2%)

localize15.0ms (0.4%)

rewrite30.0ms (0.9%)

series105.0ms (3.2%)

simplify71.0ms (2.1%)

prune66.0ms (2%)

localize15.0ms (0.5%)

rewrite27.0ms (0.8%)

series75.0ms (2.3%)

simplify96.0ms (2.9%)

prune94.0ms (2.9%)

regimes315.0ms (9.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (35.8%)

Profiling