Details

sample49.0ms

Algorithm

intervals

Results

22.0ms

361×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (18.0ms)

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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))
4.9b	(* (* a z) b)

rewrite61.0ms

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:

41.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* t a))
6.0ms	(* (* a z) b)

series169.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
23.0ms	(+ x (* y z))
42.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(* (* a z) b)

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (43.0ms)

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

prune227.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.6b	(* (cbrt b) (cbrt b))
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1`
36×	`add-exp-log`
23×	`add-sqr-sqrt` `pow-prod-down`
22×	`cbrt-prod` `prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
8×	`associate-l`
7×	`pow1/3`
6×	`swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 111

Calls

4 calls:

0.0ms	(cbrt b)
5.0ms	(* (cbrt b) (cbrt b))
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
15.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series495.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt b)
186.0ms	(* (cbrt b) (cbrt b))
46.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
98.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	317	707
1	1682	527
2	5002	469

prune309.0ms

Filtered

123 candidates to 76 candidates (61.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt b))
0.6b	(* (cbrt b) (cbrt b))
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
4.0b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

92×	`pow1`
87×	`add-exp-log`
64×	`pow-prod-down`
63×	`prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
25×	`cbrt-prod`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `associate-l`
7×	`pow1/3`
6×	`swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt (cbrt b))
5.0ms	(* (cbrt b) (cbrt b))
93.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
13.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series588.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (cbrt b))
197.0ms	(* (cbrt b) (cbrt b))
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
99.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify76.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	458	1557
1	2209	1022
2	5001	728

prune328.0ms

Filtered

151 candidates to 72 candidates (47.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (fma a b y) z (fma a t x))

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 (fma a b y) z (fma a t x))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(fma (fma a b y) z (fma a t x))

simplify51.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune40.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes227.0ms

Accuracy

13.9% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.9b

bsearch56.0ms

Steps

Iters	Range		Point
10	-1.6824595120069966e-190	-2.0013469747844532e-202	-1.6607943700588965e-190

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample878.0ms

Algorithm

intervals

Results

454.0ms

11880×

body

valid