Details

analyze243.0ms

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

sample22.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	8×	body	80	nan
0.0ms	1×	body	80	invalid

simplify287.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (278.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune1.0ms

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 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

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

series62.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
30.0ms	(*.f64 x (log.f64 y))

simplify81.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5015	660

prune39.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize15.0ms

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)

rewrite18.0ms

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:

5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
8.0ms	(+.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)

series323.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
83.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
82.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)

simplify111.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4869	954
1	4869	954

prune74.0ms

Filtered

65 candidates to 90 candidates (-38.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	91	5	96

Merged error: 0b

Counts

96 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-+r+_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

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

series346.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
107.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
86.0ms	(cbrt.f64 y)
81.0ms	(pow.f64 y 1/3)

simplify90.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5036	720

prune69.0ms

Filtered

59 candidates to 83 candidates (-40.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
0.3b	(.f64 x (.f64 (log.f64 y) 5/6))
0.4b	(*.f64 (log.f64 y) 5/6)
0.6b	(cbrt.f64 y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64`
14×	`associate-l_binary64` `add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-prod_binary64` `*-commutative_binary64`
2×	`pow1/3_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64`

Counts

4 → 70

Calls

4 calls:

5.0ms	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
7.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
4.0ms	(*.f64 (log.f64 y) 5/6)
1.0ms	(cbrt.f64 y)

series264.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
34.0ms	(.f64 x (.f64 (log.f64 y) 5/6))
54.0ms	(*.f64 (log.f64 y) 5/6)
80.0ms	(cbrt.f64 y)

simplify56.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5333	772

prune58.0ms

Filtered

58 candidates to 82 candidates (-41.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0b

Counts

87 → 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	31	17
1	31	17

end0.0ms

sample648.0ms

Algorithm

intervals

Results

420.0ms	7999×	body	80	valid
15.0ms	384×	body	80	nan
1.0ms	24×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze243.0ms

sample22.0ms

simplify287.0ms

prune1.0ms

localize10.0ms

rewrite14.0ms

series62.0ms

simplify81.0ms

prune39.0ms

localize15.0ms

rewrite18.0ms

series323.0ms

simplify111.0ms

prune74.0ms

localize23.0ms

rewrite21.0ms

series346.0ms

simplify90.0ms

prune69.0ms

localize21.0ms

rewrite19.0ms

series264.0ms

simplify56.0ms

prune58.0ms

regimes109.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample648.0ms

Profiling