Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

376×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (15.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
6.6b	(* (* a z) b)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

99.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms	(+ x (* y z))
24.0ms	(+ (+ x (* y z)) (* t a))
18.0ms	(* (* a z) b)

series176.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
46.0ms	(+ (+ x (* y z)) (* t a))
24.0ms	(* (* a z) b)

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5001	330

prune255.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma y z (fma a t x)) (* (* a z) b))
6.6b	(* (* a z) b)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-def` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `fma-udef`

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (fma y z (fma a t x)) (* (* a z) b))
17.0ms	(* (* a z) b)

series125.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(+ (fma y z (fma a t x)) (* (* a z) b))
24.0ms	(* (* a z) b)

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	191	199
1	899	174
2	5001	174

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma y z (fma a t x)) (* a (* z b)))
6.0b	(* a (* z b))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-def` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `fma-udef`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+ (fma y z (fma a t x)) (* a (* z b)))
16.0ms	(* a (* z b))

series135.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(+ (fma y z (fma a t x)) (* a (* z b)))
30.0ms	(* a (* z b))

simplify106.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	180	198
1	653	173
2	3298	173
3	5001	173

prune121.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
6.6b	(* (* a z) b)
6.6b	(* (* a z) b)
6.6b	(* (* a z) b)

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
23×	`add-sqr-sqrt`
21×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`cbrt-prod`
15×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`cbrt-div`
11×	`pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
9×	`associate-l`
6×	`flip3-+` `pow1/3` `swap-sqr` `flip-+`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 110

Calls

4 calls:

374.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
17.0ms	(* (* a z) b)
21.0ms	(* (* a z) b)
17.0ms	(* (* a z) b)

series520.0ms

Counts

4 → 12

Calls

4 calls:

443.0ms	(* (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
24.0ms	(* (* a z) b)
25.0ms	(* (* a z) b)
28.0ms	(* (* a z) b)

simplify67.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	344	1367
1	1576	1256
2	5002	1168

prune337.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

35.1% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.1b

bsearch58.0ms

Steps

Iters	Range		Point
10	-1.4753640966609568e+103	-8.868044934391e+89	-7.187269496377903e+90

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample929.0ms

Algorithm

intervals

Results

400.0ms

11887×

body

valid