Details

analyze257.0ms

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

sample23.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	11×	body	80	nan
0.0ms	1×	body	80	invalid

simplify284.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

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

localize10.0ms

Local error

Found 3 expressions with local error:

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))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod_binary64`
20×	`*-un-lft-identity_binary64`
19×	`associate--l+_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`pow1_binary64` `associate-+l+_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`diff-log_binary64` `distribute-lft-out_binary64` `associate-r_binary64`
3×	`sub-neg_binary64` `log-pow_binary64` `associate-l_binary64` `associate-+r+_binary64` `sum-log_binary64`
2×	`distribute-lft-out--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

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))

series134.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
41.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
32.0ms	(*.f64 x (log.f64 y))

simplify76.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5015	1130

prune51.0ms

Filtered

56 candidates to 80 candidates (-42.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.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)

rewrite19.0ms

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)

series333.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
84.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
86.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)

simplify116.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4869	954
1	4869	954

prune78.0ms

Filtered

66 candidates to 90 candidates (-36.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	90	5	95

Merged error: 0b

Counts

95 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series378.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt.f64 (cbrt.f64 y))
86.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)

simplify49.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5003	391

prune62.0ms

Filtered

48 candidates to 59 candidates (-22.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`unpow-prod-down_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
1.0ms	(cbrt.f64 y)
2.0ms	(pow.f64 y 1/3)

series344.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
113.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
84.0ms	(cbrt.f64 y)
81.0ms	(pow.f64 y 1/3)

simplify163.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4985	917
1	4985	917

prune80.0ms

Filtered

65 candidates to 100 candidates (-53.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	100	5	105

Merged error: 0b

Counts

105 → 5

regimes109.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	43	43
1	43	43

end0.0ms

sample664.0ms

Algorithm

intervals

Results

430.0ms	7999×	body	80	valid
17.0ms	362×	body	80	nan
1.0ms	28×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze257.0ms

sample23.0ms

simplify284.0ms

prune2.0ms

localize10.0ms

rewrite26.0ms

series134.0ms

simplify76.0ms

prune51.0ms

localize17.0ms

rewrite19.0ms

series333.0ms

simplify116.0ms

prune78.0ms

localize23.0ms

rewrite7.0ms

series378.0ms

simplify49.0ms

prune62.0ms

localize23.0ms

rewrite22.0ms

series344.0ms

simplify163.0ms

prune80.0ms

regimes109.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample664.0ms

Profiling