Details

analyze363.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

sample21.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
2.0ms	50×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	737	10
1	737	10

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
3.9b	(*.f64 (/.f64 x y) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-r_binary64` `associate-*l/_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4964	468
1	4964	468

prune39.0ms

Filtered

37 candidates to 51 candidates (-37.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
2.0b	(*.f64 z (/.f64 x (cbrt.f64 y)))
3.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 x (cbrt.f64 y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
35×	`add-cbrt-cube_binary64`
30×	`add-sqr-sqrt_binary64`
23×	`associate-r_binary64` `times-frac_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-unprod_binary64` `div-exp_binary64`
16×	`cbrt-prod_binary64`
11×	`pow1_binary64`
10×	`cbrt-undiv_binary64` `associate-l_binary64`
6×	`1-exp_binary64` `rec-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-*r/_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/3_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 115

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
9.0ms	(*.f64 z (/.f64 x (cbrt.f64 y)))
16.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 x (cbrt.f64 y))))

series60.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
18.0ms	(*.f64 z (/.f64 x (cbrt.f64 y)))
13.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 z (/.f64 x (cbrt.f64 y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5075	809

prune65.0ms

Filtered

79 candidates to 127 candidates (-60.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	127	5	132

Merged error: 0.0b

Counts

132 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.7b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z)))
1.6b	(*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z))
3.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

268×	`add-exp-log_binary64`
176×	`prod-exp_binary64`
82×	`cbrt-unprod_binary64`
73×	`add-cbrt-cube_binary64`
45×	`div-exp_binary64`
38×	`add-sqr-sqrt_binary64`
36×	`pow1_binary64`
30×	`associate-l_binary64`
25×	`times-frac_binary64`
23×	`cbrt-undiv_binary64`
22×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
14×	`1-exp_binary64` `rec-exp_binary64`
8×	`associate-r_binary64`
6×	`unswap-sqr_binary64`
5×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`*-commutative_binary64`
2×	`div-inv_binary64`
1×	`pow1/3_binary64` `frac-times_binary64`

Counts

4 → 180

Calls

4 calls:

3.0ms	(cbrt.f64 z)
13.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z)))
10.0ms	(*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z))
25.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 z)
21.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z)))
15.0ms	(*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z))
8.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 z))))

simplify77.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5027	1343

prune69.0ms

Filtered

88 candidates to 192 candidates (-118.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	191	6	197

Merged error: 0b

Counts

197 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
1.4b	(/.f64 (/.f64 (*.f64 z (/.f64 x (cbrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 y))
2.0b	(*.f64 z (/.f64 x (cbrt.f64 y)))
2.3b	(/.f64 (*.f64 z (/.f64 x (cbrt.f64 y))) (cbrt.f64 y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac_binary64`
74×	`add-sqr-sqrt_binary64`
73×	`cbrt-prod_binary64`
66×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
32×	`add-exp-log_binary64`
22×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
12×	`associate-/r*_binary64`
11×	`associate-/l*_binary64`
10×	`div-inv_binary64`
6×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64`
2×	`associate-/l/_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `pow1/3_binary64` `*-commutative_binary64`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt.f64 y)
15.0ms	(/.f64 (/.f64 (*.f64 z (/.f64 x (cbrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 y))
9.0ms	(*.f64 z (/.f64 x (cbrt.f64 y)))
8.0ms	(/.f64 (*.f64 z (/.f64 x (cbrt.f64 y))) (cbrt.f64 y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 y)
10.0ms	(/.f64 (/.f64 (*.f64 z (/.f64 x (cbrt.f64 y))) (cbrt.f64 y)) (cbrt.f64 y))
18.0ms	(*.f64 z (/.f64 x (cbrt.f64 y)))
29.0ms	(/.f64 (*.f64 z (/.f64 x (cbrt.f64 y))) (cbrt.f64 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4968	2148
1	4968	2148

prune100.0ms

Filtered

142 candidates to 190 candidates (-33.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	190	6	196

Merged error: 0b

Counts

196 → 6

regimes229.0ms

Accuracy

86.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch34.0ms

Steps

Iters	Range		Point
8	35392487675.38876	31136074305298.617	37353373238.45994
9	-1.8097618079183136e+124	-1.7141546134468097e+115	-1.7429854943650131e+115

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	31
1	71	31

end0.0ms

sample546.0ms

Algorithm

intervals

Results

308.0ms	8000×	body	80	valid
46.0ms	1174×	body	80	invalid

Details

analyze363.0ms

sample21.0ms

simplify41.0ms

prune8.0ms

localize11.0ms

rewrite18.0ms

series16.0ms

simplify42.0ms

prune39.0ms

localize13.0ms

rewrite32.0ms

series60.0ms

simplify48.0ms

prune65.0ms

localize17.0ms

rewrite62.0ms

series58.0ms

simplify77.0ms

prune69.0ms

localize12.0ms

rewrite41.0ms

series74.0ms

simplify74.0ms

prune100.0ms

regimes229.0ms

bsearch34.0ms

simplify2.0ms

end0.0ms

sample546.0ms

Profiling