Details

analyze899.0ms

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	89×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	720	13
1	720	13

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: 3.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
4.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64` `associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

6.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series83.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(*.f64 y (-.f64 z t))
50.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify79.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5093	566

prune40.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.9b	(/.f64 (.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
5.2b	(.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`cbrt-prod_binary64`
10×	`times-frac_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
7×	`associate-r_binary64`
6×	`associate-/r*_binary64` `pow1_binary64`
5×	`associate-/l/_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
2×	`associate-*r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
13.0ms	(/.f64 (.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
12.0ms	(.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))))

series432.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 a)
83.0ms	(cbrt.f64 a)
71.0ms	(/.f64 (.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a)))) (cbrt.f64 a))
191.0ms	(.f64 (-.f64 z t) (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))))

simplify75.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4976	1352
1	4976	1352

prune79.0ms

Filtered

81 candidates to 104 candidates (-28.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Merged error: 0b

Counts

111 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.9b	(/.f64 (.f64 (.f64 (-.f64 z t) (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 a))) (/.f64 (cbrt.f64 y) (cbrt.f64 a))) (cbrt.f64 a))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
17×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`cbrt-unprod_binary64` `prod-exp_binary64`
15×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `associate-/l/_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`frac-times_binary64` `associate-*l/_binary64`
6×	`associate-/r*_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
3×	`associate-*r/_binary64` `pow1/3_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
23.0ms	(/.f64 (.f64 (.f64 (-.f64 z t) (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 a))) (/.f64 (cbrt.f64 y) (cbrt.f64 a))) (cbrt.f64 a))

series345.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt.f64 y)
87.0ms	(cbrt.f64 y)
91.0ms	(cbrt.f64 y)
62.0ms	(/.f64 (.f64 (.f64 (-.f64 z t) (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (cbrt.f64 a))) (/.f64 (cbrt.f64 y) (cbrt.f64 a))) (cbrt.f64 a))

simplify76.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5015	1227

prune68.0ms

Filtered

71 candidates to 97 candidates (-36.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

7.1b	(*.f64 (-.f64 z t) (/.f64 y a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (-.f64 z t) (/.f64 y a))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(*.f64 (-.f64 z t) (/.f64 y a))

simplify69.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5670	564

prune19.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	41	6	47

Merged error: 0b

Counts

47 → 6

regimes131.0ms

Accuracy

81.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	63
1	39	63

end0.0ms

sample661.0ms

Algorithm

intervals

Results

266.0ms	8000×	body	80	valid
86.0ms	2531×	body	80	invalid

Details

analyze899.0ms

sample25.0ms

simplify61.0ms

prune1.0ms

localize7.0ms

rewrite15.0ms

series83.0ms

simplify79.0ms

prune40.0ms

localize11.0ms

rewrite30.0ms

series432.0ms

simplify75.0ms

prune79.0ms

localize16.0ms

rewrite30.0ms

series345.0ms

simplify76.0ms

prune68.0ms

localize7.0ms

rewrite11.0ms

series47.0ms

simplify69.0ms

prune19.0ms

regimes131.0ms

bsearch2.0ms

simplify4.0ms

end0.0ms

sample661.0ms

Profiling