Details

analyze936.0ms

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

sample37.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	30×	body	80	invalid
1.0ms	29×	body	80	nan

simplify279.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (276.0ms)

Iter	Nodes	Cost
0	3717	16
1	3717	16

prune5.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 0.5) b)
0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.3b	(*.f64 z (log.f64 t))

rewrite36.0ms

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:

7.0ms	(*.f64 (-.f64 a 0.5) b)
13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series70.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 (-.f64 a 0.5) b)
42.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
15.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
8.0ms	(*.f64 z (log.f64 t))

simplify45.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5444	1311

prune135.0ms

Filtered

72 candidates to 100 candidates (-38.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	8	101

Merged error: 0b

Counts

101 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.2b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
7.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series79.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
23.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
17.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)

simplify40.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5306	858

prune110.0ms

Filtered

65 candidates to 108 candidates (-66.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0b

Counts

116 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite26.0ms

Algorithm

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:

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

series85.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
24.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
20.0ms	(cbrt.f64 t)
17.0ms	(cbrt.f64 t)

simplify64.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4912	1062
1	4912	1062

prune135.0ms

Filtered

92 candidates to 124 candidates (-34.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	124	8	132

Merged error: 0b

Counts

132 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.2b	(.f64 z (.f64 (log.f64 t) 2/3))
0.4b	(*.f64 (log.f64 t) 2/3)
0.5b	(cbrt.f64 t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `cbrt-prod_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`log-pow_binary64` `*-commutative_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
5.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
4.0ms	(*.f64 (log.f64 t) 2/3)
1.0ms	(cbrt.f64 t)

series59.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
9.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
10.0ms	(*.f64 (log.f64 t) 2/3)
19.0ms	(cbrt.f64 t)

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5067	580

prune71.0ms

Filtered

59 candidates to 92 candidates (-55.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	92	8	100

Merged error: 0b

Counts

100 → 8

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	89	25
1	89	25

end0.0ms

sample934.0ms

Algorithm

intervals

Results

469.0ms	7997×	body	80	valid
65.0ms	1151×	body	80	invalid
58.0ms	1174×	body	80	nan
1.0ms	3×	body	320	valid

Details

analyze936.0ms

sample37.0ms

simplify279.0ms

prune5.0ms

localize14.0ms

rewrite36.0ms

series70.0ms

simplify45.0ms

prune135.0ms

localize17.0ms

rewrite18.0ms

series79.0ms

simplify40.0ms

prune110.0ms

localize18.0ms

rewrite26.0ms

series85.0ms

simplify64.0ms

prune135.0ms

localize19.0ms

rewrite19.0ms

series59.0ms

simplify53.0ms

prune71.0ms

regimes1.1s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample934.0ms

Profiling