Details

analyze695.0ms

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	63×	body	80	invalid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	735	13
1	735	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: 6.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
6.6b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

10.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
7.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

series109.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(*.f64 (-.f64 y x) z)
36.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
46.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify83.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5139	824

prune43.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.3b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
49.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

simplify82.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5001	2589

prune76.0ms

Filtered

85 candidates to 120 candidates (-41.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	119	8	127

Merged error: 0b

Counts

127 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `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` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series95.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
55.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify79.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5340	832

prune30.0ms

Filtered

38 candidates to 55 candidates (-44.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	55	8	63

Merged error: 0b

Counts

63 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.0b	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z))
4.6b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

367×	`times-frac_binary64`
270×	`add-sqr-sqrt_binary64`
257×	`*-un-lft-identity_binary64`
187×	`add-cube-cbrt_binary64`
170×	`cbrt-prod_binary64`
117×	`associate-r_binary64`
40×	`cbrt-div_binary64`
34×	`distribute-lft-out--_binary64`
32×	`add-exp-log_binary64` `difference-of-squares_binary64`
20×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64`
19×	`div-inv_binary64`
18×	`add-cbrt-cube_binary64`
16×	`pow1_binary64`
14×	`associate-*l/_binary64`
13×	`associate-/r*_binary64`
10×	`swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`cbrt-undiv_binary64` `associate-l_binary64` `unswap-sqr_binary64` `div-exp_binary64`
8×	`associate-/l*_binary64`
7×	`associate-*r/_binary64` `pow1/3_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64`
2×	`associate-/l/_binary64` `pow-prod-up_binary64` `associate-/r/_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow2_binary64`

Counts

4 → 367

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 y x))
11.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
10.0ms	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z))
37.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z)))

series584.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt.f64 (-.f64 y x))
137.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
274.0ms	(/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z))
56.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (/.f64 (cbrt.f64 (-.f64 y x)) (/.f64 t z)))

simplify188.0ms

Algorithm

egg-herbie

Counts

379 → 379

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4961	9280
1	4961	9280

prune275.0ms

Filtered

282 candidates to 379 candidates (-34.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	379	0	379
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	379	8	387

Merged error: 0b

Counts

387 → 8

regimes131.0ms

Accuracy

55.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	75
1	37	75

end0.0ms

sample565.0ms

Algorithm

intervals

Results

247.0ms	8000×	body	80	valid
65.0ms	2107×	body	80	invalid

Details

analyze695.0ms

sample20.0ms

simplify65.0ms

prune1.0ms

localize7.0ms

rewrite24.0ms

series109.0ms

simplify83.0ms

prune43.0ms

localize7.0ms

rewrite35.0ms

series90.0ms

simplify82.0ms

prune76.0ms

localize6.0ms

rewrite15.0ms

series95.0ms

simplify79.0ms

prune30.0ms

localize11.0ms

rewrite87.0ms

series584.0ms

simplify188.0ms

prune275.0ms

regimes131.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample565.0ms

Profiling