Details

analyze910.0ms

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

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	36×	body	80	invalid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

prune4.0ms

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: 8.9b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
0.0b	(*.f64 y (-.f64 z t))
8.9b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_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` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 65

Calls

3 calls:

8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))
10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series62.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
8.0ms	(*.f64 y (-.f64 z t))
20.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5408	699

prune85.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	5	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
8.5b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
46×	`associate-r_binary64`
42×	`cbrt-prod_binary64`
28×	`add-cube-cbrt_binary64`
25×	`add-exp-log_binary64`
20×	`cbrt-div_binary64`
18×	`add-cbrt-cube_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-l_binary64`
10×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
5×	`frac-times_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l/_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
33.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

series117.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 (-.f64 z a))
28.0ms	(cbrt.f64 (-.f64 z a))
28.0ms	(cbrt.f64 (-.f64 z a))
32.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

simplify51.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5099	2207

prune133.0ms

Filtered

112 candidates to 148 candidates (-32.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	148	6	154

Merged error: 0b

Counts

154 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)) 1))
12.6b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 97

Calls

3 calls:

6.0ms	(/.f64 y (-.f64 z a))
7.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)) 1))
14.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

series68.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/.f64 y (-.f64 z a))
32.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)) 1))
28.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4970	1088
1	4970	1088

prune95.0ms

Filtered

79 candidates to 106 candidates (-34.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	108	4	112

Merged error: 0b

Counts

112 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (pow.f64 (.f64 (.f64 y (/.f64 1 (-.f64 z a))) (-.f64 z t)) 1))
0.0b	(/.f64 1 (-.f64 z a))
0.2b	(*.f64 y (/.f64 1 (-.f64 z a)))
12.6b	(.f64 (.f64 y (/.f64 1 (-.f64 z a))) (-.f64 z t))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64` `times-frac_binary64`
26×	`associate-r_binary64`
25×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`
12×	`pow1_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64` `div-exp_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `associate-/r/_binary64` `associate-l_binary64` `un-div-inv_binary64` `frac-times_binary64`
3×	`1-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`sub-neg_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 131

Calls

4 calls:

5.0ms	(+.f64 x (pow.f64 (.f64 (.f64 y (/.f64 1 (-.f64 z a))) (-.f64 z t)) 1))
6.0ms	(/.f64 1 (-.f64 z a))
11.0ms	(*.f64 y (/.f64 1 (-.f64 z a)))
16.0ms	(.f64 (.f64 y (/.f64 1 (-.f64 z a))) (-.f64 z t))

series78.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+.f64 x (pow.f64 (.f64 (.f64 y (/.f64 1 (-.f64 z a))) (-.f64 z t)) 1))
5.0ms	(/.f64 1 (-.f64 z a))
9.0ms	(*.f64 y (/.f64 1 (-.f64 z a)))
28.0ms	(.f64 (.f64 y (/.f64 1 (-.f64 z a))) (-.f64 z t))

simplify46.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5369	1231

prune98.0ms

Filtered

87 candidates to 143 candidates (-64.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Merged error: 0b

Counts

147 → 4

regimes475.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	22
1	33	22

end0.0ms

sample581.0ms

Algorithm

intervals

Results

299.0ms	8000×	body	80	valid
26.0ms	749×	body	80	invalid

Details

analyze910.0ms

sample29.0ms

simplify110.0ms

prune4.0ms

localize9.0ms

rewrite26.0ms

series62.0ms

simplify46.0ms

prune85.0ms

localize15.0ms

rewrite49.0ms

series117.0ms

simplify51.0ms

prune133.0ms

localize11.0ms

rewrite30.0ms

series68.0ms

simplify46.0ms

prune95.0ms

localize12.0ms

rewrite42.0ms

series78.0ms

simplify46.0ms

prune98.0ms

regimes475.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample581.0ms

Profiling