Details

sample144.0ms

Algorithm

intervals

Results

62.0ms	879×	body	80	nan
22.0ms	290×	body	80	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune14.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (* x (log y)) z)
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-log-exp`
21×	`add-sqr-sqrt`
18×	`log-prod`
17×	`*-un-lft-identity`
16×	`sum-log`
15×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
4×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 99

Calls

4 calls:

16.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
5.0ms	(+ (* x (log y)) z)
7.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series667.0ms

Counts

4 → 12

Calls

4 calls:

521.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
53.0ms	(+ (* x (log y)) z)
53.0ms	(* (- b 0.5) (log c))
40.0ms	(* x (log y))

simplify53.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	522	715
1	1888	634
2	5002	599

prune395.0ms

Filtered

111 candidates to 79 candidates (71.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	8	111
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	104	9	113

Merged error: 0.0b

Counts

113 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log (sqrt y))) (fma (log (sqrt y)) x z)) t) a) (* (- b 0.5) (log c))) (* y i))
0.1b	(fma (log (sqrt y)) x z)
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log (sqrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-log-exp`
21×	`add-sqr-sqrt`
18×	`log-prod`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt` `sum-log`
11×	`pow1`
10×	`associate-r`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u`
3×	`fma-def`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `flip--` `flip-+` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 97

Calls

4 calls:

19.0ms	(+ (+ (+ (+ (+ (* x (log (sqrt y))) (fma (log (sqrt y)) x z)) t) a) (* (- b 0.5) (log c))) (* y i))
1.0ms	(fma (log (sqrt y)) x z)
7.0ms	(* (- b 0.5) (log c))
6.0ms	(* x (log (sqrt y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

939.0ms	(+ (+ (+ (+ (+ (* x (log (sqrt y))) (fma (log (sqrt y)) x z)) t) a) (* (- b 0.5) (log c))) (* y i))
114.0ms	(fma (log (sqrt y)) x z)
54.0ms	(* (- b 0.5) (log c))
88.0ms	(* x (log (sqrt y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	544	895
1	2025	796
2	5002	761

prune421.0ms

Filtered

109 candidates to 75 candidates (68.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	108	10	118

Merged error: 0.0b

Counts

118 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 51

Calls

4 calls:

1.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
5.0ms	(+ (fma x (log y) z) (+ t a))
1.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)

series1.2s

Counts

4 → 12

Calls

4 calls:

709.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
82.0ms	(+ (fma x (log y) z) (+ t a))
348.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
54.0ms	(fma x (log y) z)

simplify82.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346

prune289.0ms

Filtered

63 candidates to 54 candidates (85.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	63	10	73

Merged error: 0.0b

Counts

73 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `associate-r` `frac-add` `flip--` `log1p-expm1-u`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* x (log y))
13.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series579.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (log y))
178.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
183.0ms	(cbrt c)
181.0ms	(cbrt c)

simplify68.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	598	867
1	2386	730
2	5002	692

prune561.0ms

Filtered

120 candidates to 104 candidates (86.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Merged error: 0.0b

Counts

130 → 10

regimes806.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	17
1	33	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	27918×	body	80	nan
720.0ms	9211×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample144.0ms

simplify38.0ms

prune14.0ms

localize18.0ms

rewrite35.0ms

series667.0ms

simplify53.0ms

prune395.0ms

localize21.0ms

rewrite35.0ms

series1.2s

simplify57.0ms

prune421.0ms

localize17.0ms

rewrite8.0ms

series1.2s

simplify82.0ms

prune289.0ms

localize23.0ms

rewrite25.0ms

series579.0ms

simplify68.0ms

prune561.0ms

regimes806.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.3s

Profiling