Details

analyze931.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample36.0ms

Algorithm

intervals

Results

14.0ms	255×	body	80	valid
3.0ms	45×	body	80	invalid
2.0ms	39×	body	80	nan
0.0ms	1×	body	640	valid

simplify491.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (482.0ms)

Iter	Nodes	Cost
0	3702	24
1	3702	24

prune2.0ms

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/2) b)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(*.f64 (-.f64 a 1/2) b)
12.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
9.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series241.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (-.f64 a 1/2) b)
149.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
39.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
32.0ms	(*.f64 z (log.f64 t))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5095	1961

prune96.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
0.2b	(*.f64 z (log.f64 t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp_binary64`
25×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
18×	`log-prod_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate--l+_binary64`
10×	`diff-log_binary64`
9×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate--r+_binary64` `associate-r_binary64`
6×	`sum-log_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`distribute-lft-out--_binary64` `frac-sub_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate--r-_binary64` `log-pow_binary64`

Counts

4 → 97

Calls

4 calls:

5.0ms	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
6.0ms	(*.f64 (-.f64 a 1/2) b)
14.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
5.0ms	(*.f64 z (log.f64 t))

series247.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b))
21.0ms	(*.f64 (-.f64 a 1/2) b)
134.0ms	(-.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 z (log.f64 t)) (.f64 (-.f64 a 1/2) b)))
34.0ms	(*.f64 z (log.f64 t))

simplify57.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5017	2245

prune86.0ms

Filtered

76 candidates to 109 candidates (-43.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	109	7	116

Merged error: 0.0b

Counts

116 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (-.f64 (.f64 (log.f64 (sqrt.f64 t)) z) (*.f64 (-.f64 a 1/2) b)))
0.1b	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
0.2b	(*.f64 z (log.f64 (sqrt.f64 t)))
0.2b	(*.f64 (log.f64 (sqrt.f64 t)) z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-log-exp_binary64`
24×	`log-prod_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`diff-log_binary64`
18×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`associate--r+_binary64`
12×	`pow1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-prod_binary64`
9×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `log-pow_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `frac-sub_binary64` `associate--l+_binary64`
2×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`associate--l-_binary64` `associate--r-_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 109

Calls

4 calls:

15.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (-.f64 (.f64 (log.f64 (sqrt.f64 t)) z) (*.f64 (-.f64 a 1/2) b)))
10.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

series325.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (-.f64 (.f64 (log.f64 (sqrt.f64 t)) z) (*.f64 (-.f64 a 1/2) b)))
54.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
44.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
46.0ms	(*.f64 (log.f64 (sqrt.f64 t)) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5442	2993

prune111.0ms

Filtered

85 candidates to 121 candidates (-42.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	118	3	121
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
19×	`add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 84

Calls

4 calls:

10.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
4.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series349.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
97.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
86.0ms	(cbrt.f64 t)
87.0ms	(cbrt.f64 t)

simplify67.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5047	1191

prune75.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Merged error: 0b

Counts

104 → 7

regimes202.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	223	24
1	223	24

end0.0ms

sample965.0ms

Algorithm

intervals

Results

479.0ms	7996×	body	80	valid
72.0ms	1213×	body	80	invalid
59.0ms	1132×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze931.0ms

sample36.0ms

simplify491.0ms

prune2.0ms

localize12.0ms

rewrite38.0ms

series241.0ms

simplify58.0ms

prune96.0ms

localize14.0ms

rewrite34.0ms

series247.0ms

simplify57.0ms

prune86.0ms

localize16.0ms

rewrite40.0ms

series325.0ms

simplify66.0ms

prune111.0ms

localize18.0ms

rewrite20.0ms

series349.0ms

simplify67.0ms

prune75.0ms

regimes202.0ms

bsearch0.0ms

simplify7.0ms

end0.0ms

sample965.0ms

Profiling