Details

sample156.0ms

Algorithm

intervals

Results

62.0ms	998×	body	80	nan
22.0ms	299×	body	80	valid
0.0ms	1×	body	320	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma x (log y) z) (+ t a))
0.0b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
8×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `sum-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

3 → 41

Calls

3 calls:

9.0ms	(+ (fma x (log y) z) (+ t a))
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms	(fma x (log y) z)

series474.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (fma x (log y) z) (+ t a))
342.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms	(fma x (log y) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	187	278
1	634	250
2	3135	246
3	5002	245

prune219.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (fma x (log y) z))

rewrite12.0ms

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:

6.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
0.0ms	(cbrt (fma x (log y) z))
0.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))

series840.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
201.0ms	(cbrt (fma x (log y) z))
201.0ms	(cbrt (fma x (log y) z))
203.0ms	(cbrt (fma x (log y) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	258	727
1	1032	672
2	5001	626

prune460.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (cbrt (fma x (log y) z)))
0.6b	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

0.0ms	(cbrt (fma x (log y) z))
0.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (cbrt (fma x (log y) z)))
3.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

series857.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (fma x (log y) z))
206.0ms	(cbrt (fma x (log y) z))
213.0ms	(cbrt (cbrt (fma x (log y) z)))
230.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

simplify128.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	288	535
1	917	492
2	4592	481
3	5001	481

prune451.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (log y) z))
0.5b	(cbrt (cbrt (fma x (log y) z)))
0.6b	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))
3.7b	(exp (log (cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `exp-prod`
4×	`add-exp-log` `expm1-log1p-u` `log-prod` `pow1/3` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-exp-log`

Counts

4 → 59

Calls

4 calls:

0.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (cbrt (fma x (log y) z)))
3.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))
3.0ms	(exp (log (cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))))

series894.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (fma x (log y) z))
208.0ms	(cbrt (cbrt (fma x (log y) z)))
235.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))
239.0ms	(exp (log (cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))))

simplify137.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	319	670
1	973	618
2	4686	586
3	5001	586

prune487.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes413.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	27320×	body	80	nan
561.0ms	9195×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid