Details

analyze616.0ms

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	71×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	735	13
1	735	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: 8.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
8.6b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
7.0ms	(*.f64 y (-.f64 z x))
8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

series119.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
35.0ms	(*.f64 y (-.f64 z x))
48.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5130	849

prune45.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(/.f64 t (-.f64 z x))
5.8b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 151

Calls

3 calls:

21.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
6.0ms	(/.f64 t (-.f64 z x))
9.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
34.0ms	(/.f64 t (-.f64 z x))
59.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

simplify86.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5029	3116

prune87.0ms

Filtered

116 candidates to 160 candidates (-37.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	162	5	167

Merged error: 0b

Counts

167 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
4.4b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_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-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
10.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 x (*.f64 (/.f64 y t) (-.f64 z x)))
53.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify77.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4983	866
1	4983	866

prune31.0ms

Filtered

41 candidates to 59 candidates (-43.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0b

Counts

64 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
0.0b	(/.f64 (-.f64 z x) t)
6.0b	(*.f64 y (/.f64 (-.f64 z x) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_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` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
6.0ms	(/.f64 (-.f64 z x) t)
10.0ms	(*.f64 y (/.f64 (-.f64 z x) t))

series121.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z x) t)))
27.0ms	(/.f64 (-.f64 z x) t)
54.0ms	(*.f64 y (/.f64 (-.f64 z x) t))

simplify89.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	6010	1341

prune43.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes62.0ms

Accuracy

43.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch20.0ms

Steps

Iters	Range		Point
4	4.709071511557813e-21	7.796726529973628e-21	6.722683654093909e-21
5	-5936321625114.409	-2512089951282.381	-3881122855271.2124

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	54
1	41	54

end0.0ms

sample532.0ms

Algorithm

intervals

Results

237.0ms	8000×	body	80	valid
64.0ms	2121×	body	80	invalid

Details

analyze616.0ms

sample23.0ms

simplify64.0ms

prune1.0ms

localize7.0ms

rewrite21.0ms

series119.0ms

simplify67.0ms

prune45.0ms

localize7.0ms

rewrite45.0ms

series126.0ms

simplify86.0ms

prune87.0ms

localize6.0ms

rewrite17.0ms

series89.0ms

simplify77.0ms

prune31.0ms

localize7.0ms

rewrite23.0ms

series121.0ms

simplify89.0ms

prune43.0ms

regimes62.0ms

bsearch20.0ms

simplify6.0ms

end0.0ms

sample532.0ms

Profiling