Details

sample150.0ms

Algorithm

intervals

Results

61.0ms	992×	body	80	nan
20.0ms	302×	body	80	valid

simplify37.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
6.0ms	(+ (fma x (log y) z) (+ t a))
1.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)

series1.4s

Counts

4 → 12

Calls

4 calls:

678.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
83.0ms	(+ (fma x (log y) z) (+ t a))
547.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms	(fma x (log y) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346

prune286.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
23×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-log-exp`
9×	`sum-log`
7×	`pow1`
6×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `fma-def` `flip3-+` `associate-l` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`+-commutative` `associate-+r+` `fma-udef`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 121

Calls

4 calls:

6.0ms	(+ (fma x (log y) z) (+ t a))
14.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
1.0ms	(fma x (log y) z)
7.0ms	(* (log c) (- b 0.5))

series648.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (fma x (log y) z) (+ t a))
402.0ms	(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
60.0ms	(fma x (log y) z)
97.0ms	(* (log c) (- b 0.5))

simplify73.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	595	1187
1	2567	952
2	5003	947

prune536.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.5b	(cbrt b)
0.5b	(cbrt b)
0.5b	(cbrt b)

rewrite11.0ms

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 b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series762.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt b) (cbrt b))
185.0ms	(cbrt b)
184.0ms	(cbrt b)
186.0ms	(cbrt b)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

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

prune571.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.5b	(cbrt b)
0.5b	(cbrt b)
0.6b	(cbrt (* (cbrt b) (cbrt b)))

rewrite9.0ms

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 b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)
4.0ms	(cbrt (* (cbrt b) (cbrt b)))

series821.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt b)
183.0ms	(cbrt b)
184.0ms	(cbrt b)
274.0ms	(cbrt (* (cbrt b) (cbrt b)))

simplify84.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	82	202
1	172	184
2	563	174
3	2341	174
4	5002	171

prune468.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes479.0ms

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	22	9
1	22	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27974×	body	80	nan
575.0ms	9195×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid