Details

analyze258.0ms

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%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

sample27.0ms

Algorithm

intervals

Results

14.0ms	255×	body	80	valid
0.0ms	10×	body	80	nan
0.0ms	1×	body	160	valid

simplify230.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (227.0ms)

Iter	Nodes	Cost
0	6359	11

prune3.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
5.0ms	(*.f64 x (log.f64 y))

series38.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
9.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
7.0ms	(*.f64 x (log.f64 y))

simplify54.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5128	985

prune59.0ms

Filtered

75 candidates to 105 candidates (-40.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series71.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
21.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
16.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4944	606
1	4944	606

prune54.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0.0b

Counts

96 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))
0.5b	(cbrt.f64 (log.f64 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
9×	`swap-sqr_binary64` `pow1/3_binary64` `log-pow_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))
1.0ms	(cbrt.f64 (log.f64 y))

series113.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
29.0ms	(cbrt.f64 (log.f64 y))
27.0ms	(cbrt.f64 (log.f64 y))
27.0ms	(cbrt.f64 (log.f64 y))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5282	500

prune44.0ms

Filtered

57 candidates to 93 candidates (-63.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series65.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
14.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune41.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes378.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample680.0ms

Algorithm

intervals

Results

444.0ms	7999×	body	80	valid
16.0ms	411×	body	80	nan
2.0ms	31×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze258.0ms

sample27.0ms

simplify230.0ms

prune3.0ms

localize11.0ms

rewrite35.0ms

series38.0ms

simplify54.0ms

prune59.0ms

localize15.0ms

rewrite20.0ms

series71.0ms

simplify57.0ms

prune54.0ms

localize17.0ms

rewrite14.0ms

series113.0ms

simplify54.0ms

prune44.0ms

localize14.0ms

rewrite13.0ms

series65.0ms

simplify47.0ms

prune41.0ms

regimes378.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample680.0ms

Profiling