Details

Time bar (total: 5.7s)

sample52.0ms

Algorithm
intervals
Results
14.0ms301×body80nan
13.0ms291×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0308
1897
22917
38987
425657
550017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt
12×log-prod add-log-exp
11×add-cube-cbrt
pow1 distribute-rgt-in distribute-lft-in distribute-lft-out associate--r+
add-exp-log fma-neg prod-diff add-cbrt-cube
associate-*r*
expm1-log1p-u diff-log associate-*l* sum-log log1p-expm1-u
sub-neg flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
3 → 70
Calls
3 calls:
1.0ms
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
9.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series185.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
33.0ms
(- (+ (+ x y) z) (* z (log t)))
41.0ms
(* z (log t))

simplify43.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0316506
11388439
25001421

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
0.1b
(fma z (- 1 (log t)) (+ x y))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
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
2 → 20
Calls
2 calls:
1.0ms
(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
1.0ms
(fma z (- 1 (log t)) (+ x y))

series189.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(fma b (- a 0.5) (fma z (- 1 (log t)) (+ x y)))
54.0ms
(fma z (- 1 (log t)) (+ x y))

simplify38.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0117177
1320152
21600152
35001151

prune105.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt t) (cbrt t))
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)

series872.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt t) (cbrt t))
303.0ms
(cbrt t)
178.0ms
(cbrt t)
188.0ms
(cbrt t)

simplify108.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune495.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
5.0b
(pow t 1/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
pow1/3
add-exp-log
swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
unpow-prod-down pow-unpow
pow-prod-down pow-sqr pow-prod-up
pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 88
Calls
4 calls:
6.0ms
(* (cbrt t) (cbrt t))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
2.0ms
(pow t 1/3)

series750.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt t) (cbrt t))
201.0ms
(cbrt t)
180.0ms
(cbrt t)
169.0ms
(pow t 1/3)

simplify150.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0179308
1790229
24954214
35001214

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes334.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02714
12914
22914

end0.0ms

sample1.5s

Algorithm
intervals
Results
455.0ms9131×body80valid
399.0ms9419×body80nan
0.0msbody1280valid
0.0msbody640valid
0.0msbody320valid