Details

analyze374.0ms (8.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample44.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	80	valid
9.0ms	139×	body	80	nan
0.0ms	3×	body	80	invalid

simplify150.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5198	16

prune9.0ms (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: 0.3b

Counts

2 → 1

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
0.1b	(*.f64 (-.f64 a 0.5) (log.f64 t))
0.1b	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 0.5) (log.f64 t)))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

rewrite42.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64`
19×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
14×	`add-log-exp_binary64`
12×	`add-cube-cbrt_binary64`
9×	`distribute-lft-out_binary64` `log-pow_binary64` `associate-+r+_binary64`
6×	`flip3--_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-*l/_binary64` `sum-log_binary64`
5×	`associate-l_binary64` `associate-+l-_binary64`
4×	`flip3-+_binary64` `diff-log_binary64` `associate-r_binary64` `frac-add_binary64` `log-div_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 0.5) (log.f64 t)))
9.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
8.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

series123.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (*.f64 (-.f64 a 0.5) (log.f64 t)))
35.0ms	(-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t)
15.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
12.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5002	1563

prune194.0ms (4.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)
0.1b	(*.f64 (-.f64 a 0.5) (log.f64 t))
0.1b	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t))
0.2b	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
25×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
13×	`add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64`
12×	`associate--l+_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-+r+_binary64`
7×	`log-pow_binary64` `associate-+l+_binary64` `sum-log_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`associate-r_binary64`
3×	`flip3-+_binary64` `associate-+r-_binary64` `diff-log_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `associate-+l-_binary64` `log-div_binary64` `+-commutative_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

17.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)))
10.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t))
8.0ms	(-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)
8.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))

series101.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(+.f64 (log.f64 (+.f64 x y)) (+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)))
25.0ms	(+.f64 (log.f64 z) (-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t))
11.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))
10.0ms	(-.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) t)

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5153	1450

prune167.0ms (3.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Merged error: 0.0b

Counts

118 → 9

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (-.f64 a 0.5) (log.f64 t))
0.2b	(+.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) (+.f64 (log.f64 z) (log.f64 (+.f64 x y))))
0.6b	(+.f64 (log.f64 z) (log.f64 (+.f64 x y)))

rewrite51.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64` `log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-+l+_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `associate-+r-_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-*l/_binary64`
5×	`distribute-lft-out_binary64` `log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `associate-+r+_binary64`
4×	`associate-r_binary64` `frac-add_binary64` `log-div_binary64` `sum-log_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`+-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

25.0ms	(+.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) (+.f64 (log.f64 z) (log.f64 (+.f64 x y))))
13.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))
7.0ms	(+.f64 (log.f64 z) (log.f64 (+.f64 x y)))

series82.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

43.0ms	(+.f64 (*.f64 (-.f64 a 0.5) (log.f64 t)) (+.f64 (log.f64 z) (log.f64 (+.f64 x y))))
29.0ms	(+.f64 (log.f64 z) (log.f64 (+.f64 x y)))
11.0ms	(*.f64 (-.f64 a 0.5) (log.f64 t))

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5253	1191

prune133.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 0.5) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 0.5) (log.f64 (cbrt.f64 t))))
0.6b	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`frac-add_binary64` `associate-*l/_binary64`
19×	`log-prod_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-log-exp_binary64`
15×	`associate-+r+_binary64`
14×	`flip3--_binary64` `flip--_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
9×	`sum-log_binary64`
8×	`pow1_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `flip-+_binary64`
4×	`log-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+l-_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `log-div_binary64` `+-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

19.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 0.5) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 0.5) (log.f64 (cbrt.f64 t))))
8.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series169.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(+.f64 (+.f64 (-.f64 (+.f64 (log.f64 (+.f64 x y)) (log.f64 z)) t) (.f64 (-.f64 a 0.5) (.f64 2 (log.f64 (cbrt.f64 t))))) (*.f64 (-.f64 a 0.5) (log.f64 (cbrt.f64 t))))
21.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)
15.0ms	(+.f64 (log.f64 (+.f64 x y)) (log.f64 z))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5012	2670

prune152.0ms (3.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0b

Counts

106 → 7

regimes914.0ms (21.2%)

Accuracy

Total 0.2b remaining (88.4%)

Threshold costs 0.2b (88.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms (0%)

sample1.3s (30.3%)

Algorithm

1×

intervals

Results

622.0ms	8000×	body	80	valid
302.0ms	4444×	body	80	nan
5.0ms	37×	body	80	invalid

Details

analyze374.0ms (8.7%)

sample44.0ms (1%)

simplify150.0ms (3.5%)

prune9.0ms (0.2%)

localize18.0ms (0.4%)

rewrite42.0ms (1%)

series123.0ms (2.8%)

simplify49.0ms (1.1%)

prune194.0ms (4.5%)

localize14.0ms (0.3%)

rewrite46.0ms (1.1%)

series101.0ms (2.3%)

simplify30.0ms (0.7%)

prune167.0ms (3.9%)

localize14.0ms (0.3%)

rewrite51.0ms (1.2%)

series82.0ms (1.9%)

simplify29.0ms (0.7%)

prune133.0ms (3.1%)

localize19.0ms (0.4%)

rewrite33.0ms (0.8%)

series169.0ms (3.9%)

simplify47.0ms (1.1%)

prune152.0ms (3.5%)

regimes914.0ms (21.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (30.3%)

Profiling