Details

analyze984.0ms

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
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
18.4%	81.3%	0.2%	13
29.5%	70.3%	0.2%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	16×	body	80	invalid

simplify144.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4786	11
1	4786	11

prune4.0ms

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: 11.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
0.0b	(*.f64 (-.f64 y z) t)
11.2b	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-sqr-sqrt_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-l*_binary64` `times-frac_binary64`
4×	`associate-*l/_binary64`
3×	`flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`associate-/l/_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-out_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 → 63

Calls

3 calls:

8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
7.0ms	(*.f64 (-.f64 y z) t)
10.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

series57.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z)))
7.0ms	(*.f64 (-.f64 y z) t)
18.0ms	(/.f64 (*.f64 (-.f64 y z) t) (-.f64 a z))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5590	683

prune80.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
0.0b	(/.f64 (-.f64 a z) t)
10.7b	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac_binary64`
173×	`*-un-lft-identity_binary64`
171×	`add-sqr-sqrt_binary64`
87×	`add-cube-cbrt_binary64`
42×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-inv_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `div-sub_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 188

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
6.0ms	(/.f64 (-.f64 a z) t)
14.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

series65.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t)))
7.0ms	(/.f64 (-.f64 a z) t)
29.0ms	(/.f64 (-.f64 y z) (/.f64 (-.f64 a z) t))

simplify60.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5575	3054

prune141.0ms

Filtered

133 candidates to 197 candidates (-48.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	198	4	202

Merged error: 0b

Counts

202 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t))
0.0b	(/.f64 (-.f64 y z) (-.f64 a z))
2.5b	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t))
9.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
14.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)

series69.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t))
11.0ms	(/.f64 (-.f64 y z) (-.f64 a z))
29.0ms	(*.f64 (/.f64 (-.f64 y z) (-.f64 a z)) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4963	1386
1	4963	1386

prune86.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Merged error: 0b

Counts

126 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
0.0b	(/.f64 t (-.f64 a z))
9.8b	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-l*_binary64`
4×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 94

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
6.0ms	(/.f64 t (-.f64 a z))
14.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 t (-.f64 a z))))
8.0ms	(/.f64 t (-.f64 a z))
17.0ms	(*.f64 (-.f64 y z) (/.f64 t (-.f64 a z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4972	1059
1	4972	1059

prune74.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Merged error: 0b

Counts

107 → 4

regimes465.0ms

Accuracy

74.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.2b

bsearch29.0ms

Steps

Iters	Range		Point
4	14010.962395683422	21247.32612439524	14161.10929151199
10	-11450422.849548288	-0.0005588745085683662	-736581.9978968494

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	31
1	38	31

end0.0ms

sample593.0ms

Algorithm

intervals

Results

299.0ms	8000×	body	80	valid
26.0ms	758×	body	80	invalid

Details

analyze984.0ms

sample27.0ms

simplify144.0ms

prune4.0ms

localize8.0ms

rewrite27.0ms

series57.0ms

simplify41.0ms

prune80.0ms

localize8.0ms

rewrite61.0ms

series65.0ms

simplify60.0ms

prune141.0ms

localize9.0ms

rewrite31.0ms

series69.0ms

simplify55.0ms

prune86.0ms

localize9.0ms

rewrite28.0ms

series57.0ms

simplify57.0ms

prune74.0ms

regimes465.0ms

bsearch29.0ms

simplify2.0ms

end0.0ms

sample593.0ms

Profiling