Details

analyze957.0ms

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
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
26.2%	73.6%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify257.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (254.0ms)

Iter	Nodes	Cost
0	5600	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: 11.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
11.4b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite32.0ms

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 a t)))
7.0ms	(*.f64 y (-.f64 z t))
15.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

series57.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
8.0ms	(*.f64 y (-.f64 z t))
19.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

simplify49.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5392	699

prune61.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Merged error: 0b

Counts

75 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
0.0b	(/.f64 (-.f64 a t) (-.f64 z t))
2.1b	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
197×	`*-un-lft-identity_binary64`
195×	`add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 206

Calls

3 calls:

27.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
8.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
13.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

series79.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 a t) (-.f64 z t))))
11.0ms	(/.f64 (-.f64 a t) (-.f64 z t))
30.0ms	(/.f64 y (/.f64 (-.f64 a t) (-.f64 z t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5287	3369

prune89.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	217	5	222

Merged error: 0b

Counts

222 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
2.1b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

5.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
11.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
19.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4984	1366
1	4984	1366

prune51.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a t))
0.6b	(cbrt.f64 (-.f64 a t))
0.6b	(cbrt.f64 (-.f64 a t))
8.3b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

rewrite54.0ms

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 a t))
3.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))
34.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (-.f64 a t))
26.0ms	(cbrt.f64 (-.f64 a t))
26.0ms	(cbrt.f64 (-.f64 a t))
31.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5100	2215

prune64.0ms

Filtered

115 candidates to 148 candidates (-28.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	148	5	153

Merged error: 0b

Counts

153 → 5

regimes251.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample601.0ms

Algorithm

intervals

Results

290.0ms	7999×	body	80	valid
34.0ms	751×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze957.0ms

sample23.0ms

simplify257.0ms

prune4.0ms

localize8.0ms

rewrite32.0ms

series57.0ms

simplify49.0ms

prune61.0ms

localize9.0ms

rewrite65.0ms

series79.0ms

simplify69.0ms

prune89.0ms

localize11.0ms

rewrite35.0ms

series63.0ms

simplify47.0ms

prune51.0ms

localize13.0ms

rewrite54.0ms

series113.0ms

simplify53.0ms

prune64.0ms

regimes251.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample601.0ms

Profiling