Details

sample213.0ms

Algorithm

intervals

Results

107.0ms	847×	body	80	nan
46.0ms	290×	body	80	valid

simplify38.0ms

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)

rewrite10.0ms

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)

series488.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (fma x (log y) z) (+ t a))
348.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
54.0ms	(fma x (log y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (68.0ms)

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

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma x (log y) z))
0.1b	(fma (sqrt (fma x (log y) z)) (sqrt (fma x (log y) z)) (+ t a))
0.1b	(fma x (log y) z)
0.1b	(fma x (log y) z)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod` `fma-udef`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 45

Calls

4 calls:

1.0ms	(sqrt (fma x (log y) z))
0.0ms	(fma (sqrt (fma x (log y) z)) (sqrt (fma x (log y) z)) (+ t a))
0.0ms	(fma x (log y) z)
0.0ms	(fma x (log y) z)

series1.4s

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (fma x (log y) z))
1.1s	(fma (sqrt (fma x (log y) z)) (sqrt (fma x (log y) z)) (+ t a))
52.0ms	(fma x (log y) z)
56.0ms	(fma x (log y) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	233	347
1	742	298
2	3153	284
3	5001	283

prune312.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)
0.1b	(fma x (log y) z)
0.2b	(* (sqrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (sqrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr` `fma-udef`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

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

series852.0ms

Counts

4 → 12

Calls

4 calls:

371.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
60.0ms	(fma x (log y) z)
54.0ms	(fma x (log y) z)
367.0ms	(* (sqrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (sqrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify158.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	176	815
1	602	701
2	3613	649
3	5002	618

prune367.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (log y) z)
0.2b	(* (fabs (cbrt (fma x (log y) z))) (sqrt (cbrt (fma x (log y) z))))
0.6b	(cbrt (fma x (log y) z))
0.6b	(cbrt (fma x (log y) z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-r`
8×	`sqrt-prod`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fma x (log y) z)
7.0ms	(* (fabs (cbrt (fma x (log y) z))) (sqrt (cbrt (fma x (log y) z))))
1.0ms	(cbrt (fma x (log y) z))
1.0ms	(cbrt (fma x (log y) z))

series739.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(fma x (log y) z)
254.0ms	(* (fabs (cbrt (fma x (log y) z))) (sqrt (cbrt (fma x (log y) z))))
214.0ms	(cbrt (fma x (log y) z))
211.0ms	(cbrt (fma x (log y) z))

simplify38.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	298	672
1	1075	617
2	5001	608

prune480.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes453.0ms

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

sample6.6s

Algorithm

intervals

Results

3.5s	27410×	body	80	nan
1.4s	9168×	body	80	valid
2.0ms	3×	body	640	valid