Details

analyze937.0ms

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample39.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	104×	body	80	invalid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	719	13
1	719	13

prune14.0ms

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: 7.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
7.7b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_3769`
11×	`*-un-lft-identity_binary64_3784`
10×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
7×	`add-cube-cbrt_binary64_3755`
5×	`add-log-exp_binary64_3749` `pow1_binary64_3730` `associate-r_binary64_3843`
4×	`associate-*r/_binary64_3845`
3×	`times-frac_binary64_3779` `associate-l_binary64_3844` `associate-/r*_binary64_3847` `flip3--_binary64_3783` `flip--_binary64_3810` `sub-neg_binary64_3788`
2×	`associate-/l/_binary64_3850` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `difference-of-squares_binary64_3813` `distribute-lft-out--_binary64_3829` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737`
1×	`-commutative_binary64_3852` `clear-num_binary64_3787` `frac-2neg_binary64_3777` `pow-prod-down_binary64_3711` `div-inv_binary64_3785` `associate-/l_binary64_3848` `distribute-lft-in_binary64_3826` `unswap-sqr_binary64_3812` `diff-log_binary64_3700` `distribute-rgt-in_binary64_3827`

Counts

3 → 60

Calls

3 calls:

6.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(*.f64 y (-.f64 z t))
7.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series143.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
30.0ms	(*.f64 y (-.f64 z t))
54.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify69.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5035	895

prune262.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 a)
0.5b	(cbrt.f64 a)
0.5b	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
5.2b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt_binary64_3769`
45×	`*-un-lft-identity_binary64_3784`
40×	`times-frac_binary64_3779` `associate-r_binary64_3843`
39×	`cbrt-prod_binary64_3751`
33×	`add-cube-cbrt_binary64_3755`
27×	`add-exp-log_binary64_3748`
18×	`add-cbrt-cube_binary64_3756`
13×	`associate-l_binary64_3844` `pow1_binary64_3730`
10×	`unswap-sqr_binary64_3812`
9×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735`
8×	`pow1/3_binary64_3722`
7×	`cbrt-undiv_binary64_3754` `div-exp_binary64_3737`
6×	`difference-of-squares_binary64_3813` `distribute-lft-out--_binary64_3829` `swap-sqr_binary64_3811`
4×	`add-log-exp_binary64_3749`
3×	`pow-prod-down_binary64_3711`
2×	`*-commutative_binary64_3852` `div-inv_binary64_3785` `pow-sqr_binary64_3817` `pow-prod-up_binary64_3710`
1×	`pow-plus_binary64_3725` `associate-l/_binary64_3846` `frac-times_binary64_3776` `pow2_binary64_3721` `associate-r/_binary64_3845`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
6.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
20.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 a)
87.0ms	(cbrt.f64 a)
107.0ms	(*.f64 (cbrt.f64 a) (cbrt.f64 a))
88.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify82.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5548	1945

prune461.0ms

Filtered

104 candidates to 145 candidates (-39.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	145	7	152

Merged error: 0.0b

Counts

152 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
6.1b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac_binary64_3779`
112×	`add-sqr-sqrt_binary64_3769`
105×	`*-un-lft-identity_binary64_3784`
71×	`add-cube-cbrt_binary64_3755`
26×	`associate-/r*_binary64_3847`
19×	`difference-of-squares_binary64_3813`
17×	`distribute-lft-out--_binary64_3829`
11×	`associate-/r/_binary64_3849`
10×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
6×	`div-inv_binary64_3785` `flip3--_binary64_3783` `associate-/l*_binary64_3848` `flip--_binary64_3810`
5×	`add-log-exp_binary64_3749`
4×	`cbrt-undiv_binary64_3754` `div-exp_binary64_3737`
3×	`pow1_binary64_3730`
2×	`clear-num_binary64_3787` `frac-2neg_binary64_3777`
1×	`diff-log_binary64_3700` `sub-neg_binary64_3788`

Counts

3 → 154

Calls

3 calls:

21.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
5.0ms	(/.f64 a (-.f64 z t))
9.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
32.0ms	(/.f64 a (-.f64 z t))
66.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5695	3248

prune501.0ms

Filtered

121 candidates to 163 candidates (-34.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	164	6	170

Merged error: 0b

Counts

170 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
6.4b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_3769`
13×	`associate-l_binary64_3844`
12×	`*-un-lft-identity_binary64_3784`
10×	`times-frac_binary64_3779` `add-cube-cbrt_binary64_3755`
7×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
5×	`associate-r_binary64_3843` `sub-neg_binary64_3788`
4×	`add-log-exp_binary64_3749` `pow1_binary64_3730`
3×	`flip3--_binary64_3783` `flip--_binary64_3810`
2×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `frac-times_binary64_3776` `distribute-lft-in_binary64_3826` `associate--r+_binary64_3839` `unswap-sqr_binary64_3812` `associate-*r/_binary64_3845` `distribute-rgt-in_binary64_3827`
1×	`-commutative_binary64_3852` `associate-l/_binary64_3846` `difference-of-squares_binary64_3813` `distribute-lft-out--_binary64_3829` `pow-prod-down_binary64_3711` `div-inv_binary64_3785` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737` `diff-log_binary64_3700`

Counts

2 → 53

Calls

2 calls:

11.0ms	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
9.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series116.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
58.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify60.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5050	876

prune185.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0b

Counts

65 → 6

regimes1.1s

Accuracy

83.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify7.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	192	52
1	192	52

end0.0ms

sample860.0ms

Algorithm

intervals

Results

306.0ms	8000×	body	80	valid
94.0ms	2494×	body	80	invalid

Details

analyze937.0ms

sample39.0ms

simplify63.0ms

prune14.0ms

localize12.0ms

rewrite22.0ms

series143.0ms

simplify69.0ms

prune262.0ms

localize26.0ms

rewrite33.0ms

series372.0ms

simplify82.0ms

prune461.0ms

localize11.0ms

rewrite43.0ms

series151.0ms

simplify90.0ms

prune501.0ms

localize10.0ms

rewrite24.0ms

series116.0ms

simplify60.0ms

prune185.0ms

regimes1.1s

bsearch1.0ms

simplify7.0ms

end0.0ms

sample860.0ms

Profiling