Details

sample1.7s

Algorithm

intervals

Results

1.5s	138×	body	10240	exit
50.0ms	259×	body	80	valid
47.0ms	45×	body	1280	nan
31.0ms	36×	body	640	nan
12.0ms	24×	body	320	nan
2.0ms	14×	body	80	nan
2.0ms	6×	body	160	nan

simplify107.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize59.0ms

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)

rewrite99.0ms

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:

21.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
27.0ms	(- (- 1.0 z) 1.0)

series44.0ms

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

simplify109.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 3 (96.0ms)

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

prune1.8s

Filtered

212 candidates to 128 candidates (60.4%)

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)

rewrite278.0ms

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:

21.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
205.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)

series51.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)
12.0ms	(- (- 1.0 z) 1.0)

simplify111.0ms

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

Filtered

212 candidates to 128 candidates (60.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize73.0ms

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 (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

rewrite78.0ms

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:

21.0ms	(- (- 1.0 z) 1.0)
21.0ms	(- (- 1.0 z) 1.0)
27.0ms	(- (- 1.0 z) 1.0)
3.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
17.0ms	(- (- 1.0 z) 1.0)
169.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	252	1388
1	918	762
2	5001	560

prune2.1s

Filtered

181 candidates to 115 candidates (63.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

27.0ms	(- (- 1.0 z) 1.0)
3.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
3.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
3.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
170.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
170.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))
170.0ms	(+ (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt z) (* (cbrt z) (cbrt z))))) (fma -1 z (- z 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	252	1244
1	918	846
2	5001	616

prune1.8s

Filtered

119 candidates to 89 candidates (74.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

regimes51.0ms

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	109	104
1	118	104
2	118	104

end0.0ms

sample45.9s

Algorithm

intervals

Results

41.0s	3904×	body	10240	exit
1.6s	1523×	body	1280	nan
1.5s	8073×	body	80	valid
896.0ms	1266×	body	640	nan
317.0ms	619×	body	320	nan
103.0ms	306×	body	160	nan
50.0ms	290×	body	80	nan