Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	341×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify119.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	52	86
1	120	75
2	473	73
3	4278	71
4	5001	71

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.1b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite915.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
23×	`distribute-lft-out`
20×	`add-log-exp`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

223.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
66.0ms	(+ (+ (+ y z) z) y)
14.0ms	(+ (+ y z) z)
609.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series150.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
33.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)
39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	402	503
1	1821	449
2	5001	430

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.5b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

rewrite9.0ms

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:

5.0ms	(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

series2.1s

Counts

4 → 12

Calls

4 calls:

846.0ms	(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
410.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
422.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
411.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

simplify115.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	372	1307
1	1160	1206
2	4533	1107
3	5001	1104

prune322.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b	(cbrt (* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))))
0.6b	(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

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 (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
2.0ms	(cbrt (* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))))
1.0ms	(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

416.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
420.0ms	(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
848.0ms	(cbrt (* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))))
403.0ms	(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	459	948
1	1163	869
2	3459	846
3	5001	842

prune320.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample620.0ms

Algorithm

intervals

Results

326.0ms	10601×	body	80	valid
13.0ms	121×	body	640	valid
10.0ms	70×	body	1280	valid
5.0ms	64×	body	320	valid
2.0ms	31×	body	160	valid