Details

analyze865.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

sample80.0ms

Algorithm

intervals

Results

38.0ms	96×	body	2560	valid
24.0ms	79×	body	1280	valid
7.0ms	37×	body	640	valid
2.0ms	17×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	11×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5044	14

prune2.0ms

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: 0.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.9b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`pow1_binary64` `difference-of-squares_binary64`
6×	`associate-/r*_binary64`
4×	`difference-of-sqr-1_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`acos-asin_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

3 → 71

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series13.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
3.0ms	(.f64 5 (.f64 v v))
4.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4932	1195
1	4932	1195

prune61.0ms

Filtered

54 candidates to 80 candidates (-48.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	73	7	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	7	81

Merged error: 0.9b

Counts

81 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
0.2b	(.f64 5 (.f64 v v))
0.9b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
8×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `difference-of-sqr-1_binary64` `exp-prod_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `associate-l_binary64` `exp-sum_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`acos-asin_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
3.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
3.0ms	(.f64 5 (.f64 v v))
3.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4974	1461
1	4974	1461

prune69.0ms

Filtered

63 candidates to 98 candidates (-55.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	98	7	105

Merged error: 0.9b

Counts

105 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v)))))
0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))))
0.2b	(.f64 5 (.f64 v v))
0.9b	(acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac_binary64`
85×	`add-sqr-sqrt_binary64`
84×	`*-un-lft-identity_binary64`
72×	`add-cube-cbrt_binary64`
24×	`associate-/r*_binary64` `difference-of-squares_binary64`
20×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
12×	`difference-of-sqr-1_binary64`
11×	`pow1_binary64`
9×	`associate-/r/_binary64`
7×	`div-exp_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `exp-prod_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-prod_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `exp-sum_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`1-exp_binary64` `rec-exp_binary64`
1×	`acos-asin_binary64` `associate-r_binary64` `log-pow_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 162

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v)))))
2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))

series16.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v)))))
3.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))))
3.0ms	(.f64 5 (.f64 v v))
3.0ms	(acos.f64 (/.f64 1 (/.f64 (-.f64 (.f64 v v) 1) (-.f64 1 (.f64 5 (*.f64 v v))))))

simplify55.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5233	3393

prune114.0ms

Filtered

102 candidates to 174 candidates (-70.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	174	7	181

Merged error: 0.9b

Counts

181 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
1.6b	(acos.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v))))) (+.f64 1 v)) (/.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 v 1))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`acos-asin_binary64`

Counts

4 → 65

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v))))) (+.f64 1 v)) (/.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 v 1))))

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 5 (.f64 v v))
3.0ms	(.f64 5 (.f64 v v))
3.0ms	(.f64 5 (.f64 v v))
4.0ms	(acos.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v))))) (+.f64 1 v)) (/.f64 (cbrt.f64 (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 v 1))))

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5573	574

prune51.0ms

Filtered

46 candidates to 77 candidates (-67.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	77	7	84

Merged error: 0.9b

Counts

84 → 7

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	18
1	69	18

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	3011×	body	2560	valid
671.0ms	2464×	body	1280	valid
256.0ms	1263×	body	640	valid
97.0ms	628×	body	320	valid
44.0ms	431×	body	160	valid
14.0ms	203×	body	80	valid
0.0ms	9×	body	80	nan

Details

analyze865.0ms

sample80.0ms

simplify60.0ms

prune2.0ms

localize7.0ms

rewrite19.0ms

series13.0ms

simplify47.0ms

prune61.0ms

localize11.0ms

rewrite21.0ms

series18.0ms

simplify45.0ms

prune69.0ms

localize12.0ms

rewrite31.0ms

series16.0ms

simplify55.0ms

prune114.0ms

localize13.0ms

rewrite22.0ms

series14.0ms

simplify40.0ms

prune51.0ms

regimes123.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling