Details

sample1.4s

Algorithm

intervals

Results

1.2s	109×	body	10240	exit
62.0ms	48×	body	1280	nan
49.0ms	260×	body	80	valid
26.0ms	31×	body	640	nan
15.0ms	26×	body	320	nan
4.0ms	11×	body	160	nan
2.0ms	13×	body	80	nan

simplify114.0ms

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize62.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)

rewrite44.0ms

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:

9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)

series50.0ms

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)
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

prune1.9s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize64.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(fma 1.0 -1 (pow (cbrt (- 1.0 z)) 3))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
79×	`add-sqr-sqrt`
72×	`prod-diff`
49×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--`
19×	`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--` `flip--`
1×	`fma-udef`

Counts

4 → 160

Calls

4 calls:

14.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
1.0ms	(fma 1.0 -1 (pow (cbrt (- 1.0 z)) 3))

series424.0ms

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)
392.0ms	(fma 1.0 -1 (pow (cbrt (- 1.0 z)) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	305	1159
1	1377	586
2	5001	514

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize56.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)

rewrite49.0ms

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:

9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)

series43.0ms

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)

simplify110.0ms

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

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize67.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(- (- 1.0 z) 1.0)
3.8b	(log (exp (* -1 z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
72×	`prod-diff`
50×	`add-cube-cbrt`
33×	`associate--l+`
21×	`distribute-lft-out--`
20×	`add-log-exp`
15×	`fma-neg` `difference-of-squares`
9×	`diff-log`
6×	`sub-neg`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l-` `log-prod` `flip3--` `log-pow` `flip--`
2×	`exp-neg` `mul-1-neg`
1×	`log-div` `exp-prod` `exp-to-pow` `rem-log-exp` `log-rec`

Counts

4 → 168

Calls

4 calls:

9.0ms	(- (- 1.0 z) 1.0)
9.0ms	(- (- 1.0 z) 1.0)
8.0ms	(- (- 1.0 z) 1.0)
2.0ms	(log (exp (* -1 z)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(- (- 1.0 z) 1.0)
16.0ms	(- (- 1.0 z) 1.0)
11.0ms	(- (- 1.0 z) 1.0)
14.0ms	(log (exp (* -1 z)))

simplify143.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	192	1166
1	596	625
2	3251	444
3	5001	396

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 1.8b

regimes45.0ms

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	95	66
1	102	66
2	102	66

end0.0ms

sample46.3s

Algorithm

intervals

Results

41.0s	3872×	body	10240	exit
1.8s	1460×	body	1280	nan
1.6s	8078×	body	80	valid
986.0ms	1185×	body	640	nan
363.0ms	607×	body	320	nan
110.0ms	295×	body	160	nan
60.0ms	332×	body	80	nan
0.0ms	1×	body	160	valid