Details

sample1.6s

Algorithm

intervals

Results

1.4s	130×	body	10240	exit
49.0ms	258×	body	80	valid
43.0ms	41×	body	1280	nan
25.0ms	30×	body	640	nan
9.0ms	18×	body	320	nan
5.0ms	13×	body	160	nan
2.0ms	9×	body	80	nan

simplify108.0ms

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize58.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite106.0ms

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)
27.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)

series45.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (97.0ms)

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

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize59.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)

rewrite106.0ms

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)
27.0ms	(- (- 1.0 z) 1.0)
23.0ms	(- (- 1.0 z) 1.0)

series45.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (95.0ms)

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

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.8b

localize76.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite82.0ms

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:

23.0ms	(- (- 1.0 z) 1.0)
26.0ms	(- (- 1.0 z) 1.0)
23.0ms	(- (- 1.0 z) 1.0)
3.0ms	(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
165.0ms	(+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	243	1429
1	807	788
2	5001	577

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.8b

localize75.0ms

Local error

Found 4 expressions with local error:

5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 1.0 z) 1.0)
5.9b	(- (- 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)
26.0ms	(- (- 1.0 z) 1.0)
22.0ms	(- (- 1.0 z) 1.0)
23.0ms	(- (- 1.0 z) 1.0)

series49.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
15.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (97.0ms)

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

prune2.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.8b

regimes155.0ms

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	87	63
1	92	63
2	92	63

end0.0ms

sample45.9s

Algorithm

intervals

Results

40.9s	3905×	body	10240	exit
1.6s	1580×	body	1280	nan
1.5s	8076×	body	80	valid
955.0ms	1327×	body	640	nan
343.0ms	660×	body	320	nan
103.0ms	289×	body	160	nan
56.0ms	320×	body	80	nan