Details

analyze525.0ms

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify209.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (206.0ms)

Iter	Nodes	Cost
0	5487	9

prune7.0ms

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: 11.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.5b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite19.0ms

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

series29.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(*.f64 x (-.f64 y z))
21.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5975	485

prune72.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:

9.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
13.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
33.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5078	3157

prune140.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	200	8	208

Merged error: 0b

Counts

208 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
2.3b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

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:

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

series31.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
20.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5024	1163

prune84.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	108	8	116

Merged error: 0b

Counts

116 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.9b	(/.f64 (cbrt.f64 x) (/.f64 (-.f64 t z) (-.f64 y z)))
1.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 (-.f64 t z) (-.f64 y z))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

703×	`times-frac_binary64`
547×	`add-sqr-sqrt_binary64`
536×	`*-un-lft-identity_binary64`
276×	`add-cube-cbrt_binary64`
197×	`cbrt-prod_binary64`
191×	`associate-r_binary64`
130×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
31×	`associate-/r*_binary64`
30×	`add-exp-log_binary64`
28×	`associate-/r/_binary64`
18×	`add-cbrt-cube_binary64`
15×	`div-inv_binary64`
13×	`flip3--_binary64` `flip--_binary64`
9×	`pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
6×	`associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`pow1/3_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 480

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
15.0ms	(/.f64 (cbrt.f64 x) (/.f64 (-.f64 t z) (-.f64 y z)))
53.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 (-.f64 t z) (-.f64 y z))))

series185.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)
108.0ms	(/.f64 (cbrt.f64 x) (/.f64 (-.f64 t z) (-.f64 y z)))
39.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (cbrt.f64 x) (/.f64 (-.f64 t z) (-.f64 y z))))

simplify73.0ms

Algorithm

egg-herbie

Counts

492 → 492

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5329	8504

prune542.0ms

Filtered

343 candidates to 492 candidates (-43.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	492	0	492
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	492	8	500

Merged error: 0b

Counts

500 → 8

regimes362.0ms

Accuracy

48.6% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	51
1	32	51

end0.0ms

sample485.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
17.0ms	604×	body	80	invalid

Details

analyze525.0ms

sample18.0ms

simplify209.0ms

prune7.0ms

localize7.0ms

rewrite19.0ms

series29.0ms

simplify42.0ms

prune72.0ms

localize7.0ms

rewrite33.0ms

series49.0ms

simplify58.0ms

prune140.0ms

localize9.0ms

rewrite28.0ms

series31.0ms

simplify51.0ms

prune84.0ms

localize10.0ms

rewrite115.0ms

series185.0ms

simplify73.0ms

prune542.0ms

regimes362.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample485.0ms

Profiling