Details

analyze1.1s

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

sample25.0ms

Algorithm

intervals

Results

10.0ms	251×	body	80	valid
1.0ms	24×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5067	13

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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r*_binary64` `times-frac_binary64`
4×	`associate-*r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_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` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
12.0ms	(*.f64 60 (-.f64 x y))
10.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

series56.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
4.0ms	(*.f64 60 (-.f64 x y))
16.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5834	718

prune70.0ms

Filtered

52 candidates to 73 candidates (-40.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.0b	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
0.3b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
195×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
91×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 205

Calls

3 calls:

8.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
31.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
12.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

series95.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
38.0ms	(+.f64 (/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y))) (*.f64 a 120))
43.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4958	3387
1	4958	3387

prune110.0ms

Filtered

143 candidates to 214 candidates (-49.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	214	7	221

Merged error: 0.0b

Counts

221 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 z t) (.f64 60 (-.f64 x y)))) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.2b	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
0.4b	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
32×	`add-exp-log_binary64`
28×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-/r_binary64` `associate-r/_binary64`
11×	`associate-/r/_binary64`
8×	`associate-/l*_binary64`
7×	`pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64`
5×	`associate-r_binary64` `prod-exp_binary64`
3×	`cbrt-unprod_binary64` `1-exp_binary64` `associate-l_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-sub_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 137

Calls

4 calls:

19.0ms	(+.f64 (/.f64 1 (/.f64 (-.f64 z t) (.f64 60 (-.f64 x y)))) (.f64 a 120))
7.0ms	(*.f64 60 (-.f64 x y))
10.0ms	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
12.0ms	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))

series102.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 (/.f64 1 (/.f64 (-.f64 z t) (.f64 60 (-.f64 x y)))) (.f64 a 120))
5.0ms	(*.f64 60 (-.f64 x y))
16.0ms	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
46.0ms	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))

simplify39.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5316	1754

prune79.0ms

Filtered

89 candidates to 149 candidates (-67.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	150	6	156

Merged error: 0.0b

Counts

156 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.0b	(+.f64 (/.f64 -1 (.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60)) (.f64 a 120))
0.3b	(*.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60)
0.4b	(/.f64 -1 (*.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt_binary64`
74×	`*-un-lft-identity_binary64`
54×	`times-frac_binary64`
31×	`associate-l_binary64`
30×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`associate-/r/_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 137

Calls

4 calls:

9.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
14.0ms	(+.f64 (/.f64 -1 (.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60)) (.f64 a 120))
15.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60)
12.0ms	(/.f64 -1 (*.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60))

series113.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/.f64 (-.f64 z t) (-.f64 x y))
36.0ms	(+.f64 (/.f64 -1 (.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60)) (.f64 a 120))
16.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60)
46.0ms	(/.f64 -1 (*.f64 (/.f64 (-.f64 z t) (-.f64 x y)) -1/60))

simplify55.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5576	1683

prune68.0ms

Filtered

102 candidates to 149 candidates (-46.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	149	6	155

Merged error: 0.0b

Counts

155 → 6

regimes773.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample752.0ms

Algorithm

intervals

Results

375.0ms	7841×	body	80	valid
31.0ms	639×	body	80	invalid
12.0ms	55×	body	1280	valid
10.0ms	38×	body	2560	valid
5.0ms	32×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	12×	body	160	valid

Details

analyze1.1s

sample25.0ms

simplify107.0ms

prune3.0ms

localize10.0ms

rewrite36.0ms

series56.0ms

simplify42.0ms

prune70.0ms

localize9.0ms

rewrite64.0ms

series95.0ms

simplify74.0ms

prune110.0ms

localize11.0ms

rewrite52.0ms

series102.0ms

simplify39.0ms

prune79.0ms

localize11.0ms

rewrite55.0ms

series113.0ms

simplify55.0ms

prune68.0ms

regimes773.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample752.0ms

Profiling