Details

analyze339.0ms (7.2%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample49.0ms (1%)

Algorithm

1×

intervals

Results

13.0ms	188×	body	80	valid
11.0ms	28×	body	640	valid
8.0ms	10×	body	1280	valid
4.0ms	18×	body	320	valid
2.0ms	12×	body	160	valid
0.0ms	6×	body	80	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify357.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (345.0ms)

Iter	Nodes	Cost
0	6296	26

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: 8.4b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
4.1b	(log.f64 (-.f64 1 y))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

14.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
13.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series63.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
22.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
3.0ms	(log.f64 (-.f64 1 y))

simplify133.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4882	2405
1	4882	2405

prune141.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	99	9	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Merged error: 0.0b

Counts

109 → 9

Compiler

Compiled 2951 to 1991 computations (32.5% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
0.2b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 y 1/3)

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64` `associate-*l/_binary64`
21×	`flip3--_binary64` `flip--_binary64`
16×	`*-un-lft-identity_binary64` `frac-add_binary64`
14×	`pow1_binary64`
13×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
11×	`associate-l_binary64`
10×	`associate-r_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-times_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `associate-+l+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `difference-of-squares_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`log-pow_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 107

Calls

4 calls:

12.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 y 1/3)

series59.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
8.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
2.0ms	(*.f64 y 1/3)

simplify115.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4954	3714
1	4954	3714

prune161.0ms (3.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	118	10	128

Merged error: 0.0b

Counts

128 → 10

Compiler

Compiled 4729 to 2902 computations (38.6% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 1) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
4.1b	(log.f64 (-.f64 1 y))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64`
14×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`associate-+r+_binary64` `cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `flip--_binary64`
4×	`frac-add_binary64` `add-cbrt-cube_binary64`
2×	`pow1/3_binary64` `difference-of-squares_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 67

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
4.0ms	(log.f64 (-.f64 1 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series72.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (-.f64 x 1) (log.f64 (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
3.0ms	(log.f64 (-.f64 1 y))

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5085	1088

prune100.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	80	9	89

Merged error: 0b

Counts

89 → 9

Compiler

Compiled 2691 to 1746 computations (35.1% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 1) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (-.f64 x 1) (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
4.1b	(log.f64 (-.f64 1 y))
5.2b	(pow.f64 y 1/3)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`log-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
14×	`associate-+r+_binary64`
12×	`add-cube-cbrt_binary64`
9×	`unpow-prod-down_binary64`
8×	`associate-*l/_binary64`
7×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`frac-add_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `cbrt-prod_binary64`
2×	`difference-of-squares_binary64` `log-div_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64`

Counts

4 → 76

Calls

4 calls:

14.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (-.f64 x 1) (log.f64 (pow.f64 y 1/3))))
4.0ms	(log.f64 (-.f64 1 y))
3.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series82.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(+.f64 (.f64 (-.f64 x 1) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (-.f64 x 1) (log.f64 (pow.f64 y 1/3))))
14.0ms	(cbrt.f64 y)
14.0ms	(pow.f64 y 1/3)
3.0ms	(log.f64 (-.f64 1 y))

simplify101.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5017	1125

prune91.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	88	9	97

Merged error: 0b

Counts

97 → 9

Compiler

Compiled 2810 to 1915 computations (31.9% saved)

regimes345.0ms (7.4%)

Compiler: Compiled 1376 to 1250 computations (9.2% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	235	36
1	235	36

end0.0ms (0%)

sample2.2s (47%)

Algorithm

1×

intervals

Results

414.0ms	5879×	body	80	valid
298.0ms	797×	body	640	valid
178.0ms	259×	body	1280	valid
159.0ms	671×	body	320	valid
57.0ms	394×	body	160	valid
18.0ms	250×	body	80	nan
2.0ms	27×	body	80	invalid

Compiler

Compiled 268 to 240 computations (10.4% saved)

Details

analyze339.0ms (7.2%)

sample49.0ms (1%)

simplify357.0ms (7.6%)

prune5.0ms (0.1%)

localize13.0ms (0.3%)

rewrite42.0ms (0.9%)

series63.0ms (1.3%)

simplify133.0ms (2.8%)

prune141.0ms (3%)

localize21.0ms (0.4%)

rewrite40.0ms (0.8%)

series59.0ms (1.3%)

simplify115.0ms (2.5%)

prune161.0ms (3.4%)

localize18.0ms (0.4%)

rewrite22.0ms (0.5%)

series72.0ms (1.5%)

simplify49.0ms (1%)

prune100.0ms (2.1%)

localize30.0ms (0.6%)

rewrite25.0ms (0.5%)

series82.0ms (1.8%)

simplify101.0ms (2.2%)

prune91.0ms (2%)

regimes345.0ms (7.4%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample2.2s (47%)

Profiling