Details

sample145.0ms

Algorithm

intervals

Results

47.0ms	938×	body	80	nan
17.0ms	301×	body	80	valid

simplify40.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)

rewrite16.0ms

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:

15.0ms	(+ (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)

series438.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (fma x (log y) z) (+ t a))
313.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
51.0ms	(fma x (log y) z)

simplify71.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (66.0ms)

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

prune210.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

7.0ms	(+ (fma x (log y) (+ t z)) a)
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.0ms	(fma x (log y) (+ t z))

series446.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (fma x (log y) (+ t z)) a)
326.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
41.0ms	(fma x (log y) (+ t z))

simplify61.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	162	279
1	500	252
2	2512	247
3	5002	246

prune203.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))

rewrite15.0ms

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:

10.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))

series780.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z)))
190.0ms	(cbrt (fma x (log y) z))
188.0ms	(cbrt (fma x (log y) z))
188.0ms	(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

prune462.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 50

Calls

4 calls:

1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))
5.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

series786.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (fma x (log y) z))
190.0ms	(cbrt (fma x (log y) z))
192.0ms	(cbrt (fma x (log y) z))
214.0ms	(cbrt (* (cbrt (fma x (log y) z)) (cbrt (fma x (log y) z))))

simplify94.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	221	487
1	670	446
2	3218	434
3	5002	413

prune401.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes526.0ms

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

sample4.0s

Algorithm

intervals

Results

1.3s	27251×	body	80	nan
523.0ms	9277×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid