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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	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: 10.8b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
10.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z t))
10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series30.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z t))
22.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify40.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5985	485

prune51.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series29.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5083	1163

prune57.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series36.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
27.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5075	3149

prune76.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	200	5	205

Merged error: 0b

Counts

205 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z a))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
2.2b	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
31×	`add-exp-log_binary64`
24×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
11×	`pow1_binary64`
8×	`associate-r/_binary64` `associate-l*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`flip3--_binary64` `div-exp_binary64` `flip--_binary64`
5×	`associate-/r*_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`un-div-inv_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64`

Counts

3 → 119

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 z a))
14.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
14.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

series34.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (-.f64 z a))
12.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
18.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

simplify50.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5847	1082

prune45.0ms

Filtered

78 candidates to 128 candidates (-64.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Merged error: 0b

Counts

133 → 5

regimes261.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11

end0.0ms

sample827.0ms

Algorithm

intervals

Results

525.0ms	7997×	body	80	valid
26.0ms	754×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze899.0ms

sample23.0ms

simplify105.0ms

prune3.0ms

localize8.0ms

rewrite18.0ms

series30.0ms

simplify40.0ms

prune51.0ms

localize8.0ms

rewrite28.0ms

series29.0ms

simplify50.0ms

prune57.0ms

localize8.0ms

rewrite34.0ms

series36.0ms

simplify54.0ms

prune76.0ms

localize9.0ms

rewrite39.0ms

series34.0ms

simplify50.0ms

prune45.0ms

regimes261.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample827.0ms

Profiling