Details

analyze628.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	70×	body	128	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune1.0ms

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: 2.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series197.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
113.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify63.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5350	832

prune50.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	11	56

Merged error: 0.0b

Counts

56 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))
3.3b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
3.3b	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div_binary64`
84×	`frac-times_binary64`
58×	`flip3--_binary64` `flip--_binary64`
37×	`associate-*r/_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64` `associate-*l/_binary64`
21×	`*-un-lft-identity_binary64`
18×	`pow1_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-prod_binary64`
15×	`cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
14×	`associate-l_binary64`
11×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
2×	`pow1/3_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 152

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 y x))
4.0ms	(cbrt.f64 (-.f64 y x))
25.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
12.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))

series775.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt.f64 (-.f64 y x))
215.0ms	(cbrt.f64 (-.f64 y x))
121.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
223.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))

simplify104.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4997	4583
1	4997	4583

prune120.0ms

Filtered

103 candidates to 164 candidates (-59.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	163	12	175

Merged error: 0.0b

Counts

175 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))
1.9b	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 z) t))
3.3b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) 1) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 z) t))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

224×	`cbrt-div_binary64`
219×	`frac-times_binary64`
113×	`add-exp-log_binary64`
112×	`flip3--_binary64` `flip--_binary64`
99×	`associate-*r/_binary64`
79×	`associate-*l/_binary64`
68×	`cbrt-unprod_binary64` `prod-exp_binary64`
60×	`add-cbrt-cube_binary64`
43×	`add-sqr-sqrt_binary64`
29×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64` `pow1_binary64`
23×	`associate-r_binary64`
22×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
19×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`pow-prod-down_binary64`
9×	`associate-l_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`pow1/3_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 247

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 y x))
4.0ms	(cbrt.f64 (-.f64 y x))
20.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 z) t))
38.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) 1) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 z) t))))

series1.1s

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt.f64 (-.f64 y x))
217.0ms	(cbrt.f64 (-.f64 y x))
426.0ms	(*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 z) t))
210.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (.f64 (/.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) 1) (*.f64 (cbrt.f64 (-.f64 y x)) (/.f64 (cbrt.f64 z) t))))

simplify154.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4978	8465
1	4978	8465

prune164.0ms

Filtered

134 candidates to 259 candidates (-93.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	259	12	271

Merged error: 0.0b

Counts

271 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
10.5b	(cbrt.f64 (/.f64 z t))
10.5b	(cbrt.f64 (/.f64 z t))
10.5b	(cbrt.f64 (/.f64 z t))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
15×	`cbrt-div_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `frac-times_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-*r/_binary64`
5×	`associate-l_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

19.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
3.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))
3.0ms	(cbrt.f64 (/.f64 z t))

series552.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
97.0ms	(cbrt.f64 (/.f64 z t))
92.0ms	(cbrt.f64 (/.f64 z t))
104.0ms	(cbrt.f64 (/.f64 z t))

simplify85.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	1560
1	4955	1560

prune80.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	3	6	9
Picked	1	0	1
Done	0	2	2
Total	113	9	122

Merged error: 0.0b

Counts

122 → 9

regimes142.0ms

Accuracy

9.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch34.0ms

Steps

Iters	Range		Point
9	4.555821396877987e+59	3.872204938583084e+65	4.633125479398495e+59
7	-1.2574851517128504e+87	-7.594492613777206e+85	-6.313002064818998e+86

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	69
1	42	69

end0.0ms

sample561.0ms

Algorithm

intervals

Results

243.0ms	8000×	body	128	valid
65.0ms	2050×	body	128	invalid

Details

analyze628.0ms

sample20.0ms

simplify53.0ms

prune1.0ms

localize6.0ms

rewrite19.0ms

series197.0ms

simplify63.0ms

prune50.0ms

localize12.0ms

rewrite69.0ms

series775.0ms

simplify104.0ms

prune120.0ms

localize17.0ms

rewrite121.0ms

series1.1s

simplify154.0ms

prune164.0ms

localize12.0ms

rewrite38.0ms

series552.0ms

simplify85.0ms

prune80.0ms

regimes142.0ms

bsearch34.0ms

simplify2.0ms

end0.0ms

sample561.0ms

Profiling