Details

sample1.7s

Algorithm

intervals

Results

1.5s	138×	body	10240	exit
51.0ms	259×	body	80	valid
48.0ms	45×	body	1280	nan
31.0ms	36×	body	640	nan
13.0ms	24×	body	320	nan
3.0ms	14×	body	80	nan
2.0ms	6×	body	160	nan

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	148	63
1	619	63
2	4284	62
3	5001	62

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize57.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

22.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
26.0ms	(- (- 1.0 z) 1.0)

series43.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)

simplify107.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	168	1460
1	532	756
2	2706	528
3	5002	460

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize61.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

22.0ms	(- (- 1.0 z) 1.0)
24.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)

series46.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
10.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)

simplify106.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	168	1460
1	532	756
2	2706	528
3	5002	460

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize71.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)
4.2b	(- (- 1.0 z) 1.0)
4.2b	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`prod-diff`
50×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--` `add-log-exp`
15×	`fma-neg` `difference-of-squares`
9×	`diff-log`
6×	`sub-neg`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `flip3--` `fma-def` `flip--`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

22.0ms	(- (- 1.0 z) 1.0)
25.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
3.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
10.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)
101.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	243	1341
1	807	731
2	5001	544

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize77.0ms

Local error

Found 4 expressions with local error:

4.2b	(- (- 1.0 z) 1.0)
4.2b	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
4.2b	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
4.2b	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
24×	`prod-diff`
22×	`add-cube-cbrt`
15×	`add-log-exp`
11×	`associate--l+`
9×	`fma-def`
7×	`distribute-lft-out--`
6×	`fma-udef`
5×	`fma-neg` `difference-of-squares`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`
2×	`sub-neg`
1×	`associate--l-` `flip3--` `flip--`

Counts

4 → 107

Calls

4 calls:

22.0ms	(- (- 1.0 z) 1.0)
3.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
3.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
9.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
100.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
103.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
100.0ms	(+ (fma 1 1.0 (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	243	1103
1	807	753
2	5001	568

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	98
1	120	98
2	120	98

end0.0ms

sample46.2s

Algorithm

intervals

Results

41.1s	3904×	body	10240	exit
1.6s	1523×	body	1280	nan
1.5s	8073×	body	80	valid
931.0ms	1266×	body	640	nan
335.0ms	619×	body	320	nan
111.0ms	306×	body	160	nan
57.0ms	290×	body	80	nan