Details

analyze530.0ms

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

8.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify201.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	5487	9

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: 8.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
8.2b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite22.0ms

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:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 x (-.f64 y z))
18.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

simplify40.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5975	485

prune43.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
1.8b	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

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:

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

series43.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 t z) (-.f64 y z))
32.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5078	3157

prune72.0ms

Filtered

133 candidates to 200 candidates (-50.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	200	6	206

Merged error: 0.0b

Counts

206 → 6

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
1.8b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite39.0ms

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))
25.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

series28.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 y z) (-.f64 t z))
18.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5024	1163

prune42.0ms

Filtered

69 candidates to 108 candidates (-56.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 t z))
0.6b	(cbrt.f64 (-.f64 t z))
0.6b	(cbrt.f64 (-.f64 t z))
6.4b	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (/.f64 (-.f64 y z) (cbrt.f64 (-.f64 t z))))

rewrite56.0ms

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 t z))
3.0ms	(cbrt.f64 (-.f64 t z))
3.0ms	(cbrt.f64 (-.f64 t z))
39.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (/.f64 (-.f64 y z) (cbrt.f64 (-.f64 t z))))

series111.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (-.f64 t z))
29.0ms	(cbrt.f64 (-.f64 t z))
25.0ms	(cbrt.f64 (-.f64 t z))
30.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (-.f64 t z)) (cbrt.f64 (-.f64 t z)))) (/.f64 (-.f64 y z) (cbrt.f64 (-.f64 t z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5102	2215

prune57.0ms

Filtered

115 candidates to 148 candidates (-28.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	147	7	154

Merged error: 0b

Counts

154 → 7

regimes208.0ms

Accuracy

7.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.3b

bsearch32.0ms

Steps

Iters	Range		Point
10	4.982123091219639e-263	6.221780908415043e-248	2.7822942298388567e-251
7	-6.26357394932096e-137	-7.163732290633938e-139	-1.933835084880591e-138

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	38
1	35	38

end0.0ms

sample469.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	80	valid
18.0ms	625×	body	80	invalid

Details

analyze530.0ms

sample18.0ms

simplify201.0ms

prune3.0ms

localize6.0ms

rewrite22.0ms

series26.0ms

simplify40.0ms

prune43.0ms

localize6.0ms

rewrite34.0ms

series43.0ms

simplify55.0ms

prune72.0ms

localize14.0ms

rewrite39.0ms

series28.0ms

simplify51.0ms

prune42.0ms

localize11.0ms

rewrite56.0ms

series111.0ms

simplify54.0ms

prune57.0ms

regimes208.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample469.0ms

Profiling