Details

analyze349.0ms

Algorithm

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

sample57.0ms

Algorithm

intervals

Results

14.0ms	188×	body	80	valid
11.0ms	28×	body	640	valid
7.0ms	10×	body	1280	valid
4.0ms	18×	body	320	valid
2.0ms	12×	body	160	valid
0.0ms	6×	body	80	nan

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5285	26

prune8.0ms

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

localize24.0ms

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

Algorithm

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:

12.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
14.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series235.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
78.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
40.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
15.0ms	(log.f64 (-.f64 1 y))

simplify83.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5191	2419

prune512.0ms

Filtered

87 candidates to 108 candidates (-24.1%)

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

localize35.0ms

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)

rewrite39.0ms

Algorithm

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:

10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
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)))))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
5.0ms	(*.f64 y 1/3)

series214.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
112.0ms	(+.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)))))
43.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
14.0ms	(*.f64 y 1/3)

simplify109.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5270	3748

prune555.0ms

Filtered

88 candidates to 119 candidates (-35.2%)

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

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
19×	`pow1_binary64` `associate-r_binary64`
17×	`associate-l_binary64`
15×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `-commutative_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `flip3--_binary64` `difference-of-sqr-1_binary64` `sqrt-pow1_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-*l/_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 109

Calls

4 calls:

9.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y)))
8.0ms	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
4.0ms	(*.f64 y 1/3)

series119.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
26.0ms	(*.f64 (-.f64 x 1) (log.f64 (sqrt.f64 y)))
37.0ms	(*.f64 (log.f64 (sqrt.f64 y)) (-.f64 x 1))
13.0ms	(*.f64 y 1/3)

simplify66.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5157	1687

prune62.0ms

Filtered: 79 candidates to 121 candidates (-53.2%)

Details

analyze349.0ms

sample57.0ms

simplify94.0ms

prune8.0ms

localize24.0ms

rewrite42.0ms

series235.0ms

simplify83.0ms

prune512.0ms

localize35.0ms

rewrite39.0ms

series214.0ms

simplify109.0ms

prune555.0ms

localize34.0ms

rewrite34.0ms

series119.0ms

simplify66.0ms

prune62.0ms

Profiling