Details

sample194.0ms

Algorithm

intervals

Results

71.0ms	1348×	body	80	nan
23.0ms	403×	body	80	valid
2.0ms	11×	body	320	valid
2.0ms	5×	body	640	valid
1.0ms	9×	body	160	valid
1.0ms	1×	body	1280	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	10
1	62	10
2	137	10
3	344	10
4	1155	10
5	5001	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.2b	(* y (- (log z) t))
0.8b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.3b	(log (- 1.0 z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

84×	`prod-diff`
76×	`add-sqr-sqrt` `*-un-lft-identity`
64×	`add-cube-cbrt`
53×	`distribute-rgt-in` `distribute-lft-in`
38×	`associate-+r+`
34×	`associate-+l+`
31×	`pow1`
30×	`log-prod`
25×	`associate--l+` `log-pow`
10×	`associate-*r/`
7×	`add-exp-log` `sub-neg` `flip3--` `flip--` `distribute-lft-out--` `add-log-exp`
6×	`associate-r` `add-cbrt-cube`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `fma-neg` `frac-add` `log1p-expm1-u`
3×	`associate-l`
2×	`log-div`
1×	`+-commutative` `fma-def` `flip3-+` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

10.0ms	(- (log z) t)
31.0ms	(* y (- (log z) t))
37.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms	(log (- 1.0 z))

series364.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (log z) t)
68.0ms	(* y (- (log z) t))
190.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
46.0ms	(log (- 1.0 z))

simplify91.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	856	1981
1	3296	1486
2	5002	1485

prune680.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
4.3b	(log (- 1.0 z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`cbrt-prod`
8×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `log-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-div`
1×	`flip3--` `rem-log-exp` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
6.0ms	(log (- 1.0 z))

series567.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt z)
175.0ms	(cbrt z)
176.0ms	(cbrt z)
41.0ms	(log (- 1.0 z))

simplify47.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	175	238
1	456	218
2	1562	210
3	5001	207

prune370.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series739.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt z) (cbrt z))
178.0ms	(cbrt z)
186.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify90.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune561.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.3s	40450×	body	80	nan
746.0ms	12447×	body	80	valid
120.0ms	357×	body	640	valid
84.0ms	409×	body	320	valid
43.0ms	62×	body	1280	valid
35.0ms	286×	body	160	valid