Details

Time bar (total: 6.5s)

sample52.0ms

Algorithm
intervals
Results
14.0ms288×body80valid
13.0ms305×body80nan
0.0ms1×body640valid

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

localize16.0ms

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)))
0.2b
(* z (log t))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt
12×log-prod add-log-exp
11×add-cube-cbrt
6×pow1 distribute-rgt-in distribute-lft-in distribute-lft-out associate--r+
5×add-exp-log fma-neg prod-diff add-cbrt-cube
4×associate-*r*
3×expm1-log1p-u diff-log associate-*l* sum-log log1p-expm1-u
1×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:
0.0ms
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
104.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series188.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
38.0ms
(- (+ (+ x y) z) (* z (log t)))
37.0ms
(* z (log t))

simplify45.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0316506
11388439
25001421

prune235.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

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:
6.0ms
(* (cbrt t) (cbrt t))
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series713.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt t) (cbrt t))
172.0ms
(cbrt t)
176.0ms
(cbrt t)
169.0ms
(cbrt t)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune404.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (log (cbrt t)))
0.3b
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.5b
(cbrt t)
0.5b
(cbrt t)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
5.0ms
(* z (log (cbrt t)))
16.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.0ms
(cbrt t)
1.0ms
(cbrt t)

series536.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* z (log (cbrt t)))
97.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
178.0ms
(cbrt t)
171.0ms
(cbrt t)

simplify54.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0385753
11637640
25002570

prune560.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.6b
(cbrt (* (cbrt t) (cbrt t)))
5.1b
(pow t 1/3)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×cbrt-prod
5×pow1 add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow1/3
1×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
6.0ms
(cbrt (* (cbrt t) (cbrt t)))
1.0ms
(pow t 1/3)

series791.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt t)
181.0ms
(cbrt t)
260.0ms
(cbrt (* (cbrt t) (cbrt t)))
169.0ms
(pow t 1/3)

simplify50.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0141207
1411176
21490168
35001163

prune404.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes375.0ms

Accuracy

0% (0.1b 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)

IterNodesCost
02313
12313

end0.0ms

sample1.7s

Algorithm
intervals
Results
573.0ms9133×body80nan
463.0ms9125×body80valid
0.0ms2×body640valid