Details

Time bar (total: 5.5s)

sample51.0ms

Algorithm
intervals
Results
13.0ms290×body80valid
11.0ms307×body80nan

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0308
1897
22917
38987
425657
550017

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 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)))
0.2b
(* z (log t))

rewrite107.0ms

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))))
100.0ms
(- (+ (+ x y) z) (* z (log t)))
4.0ms
(* z (log t))

series187.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
37.0ms
(- (+ (+ x y) z) (* z (log t)))
39.0ms
(* z (log t))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0316506
11388439
25001421

prune242.0ms

Filtered
79 candidates to 57 candidates (72.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt t) (cbrt t))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(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)

series736.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt t) (cbrt t))
174.0ms
(cbrt t)
183.0ms
(cbrt t)
183.0ms
(cbrt t)

simplify97.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune416.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (fabs (pow t 1/3)) (fabs (pow t 1/3)))
0.6b
(cbrt t)
5.2b
(pow t 1/3)
5.2b
(pow t 1/3)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×pow1 add-cube-cbrt *-un-lft-identity
8×add-exp-log
6×unpow-prod-down pow-unpow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod swap-sqr associate-*r* associate-*l*
2×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
1×pow2 pow-plus pow1/3 pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
3.0ms
(* (fabs (pow t 1/3)) (fabs (pow t 1/3)))
0.0ms
(cbrt t)
1.0ms
(pow t 1/3)
1.0ms
(pow t 1/3)

series558.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (fabs (pow t 1/3)) (fabs (pow t 1/3)))
180.0ms
(cbrt t)
180.0ms
(pow t 1/3)
176.0ms
(pow t 1/3)

simplify83.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0162299
1600256
22597238
35002222

prune417.0ms

Filtered
92 candidates to 61 candidates (66.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
15×add-sqr-sqrt
12×add-cube-cbrt prod-diff
7×pow1
4×log-pow add-log-exp
3×add-exp-log expm1-log1p-u log-prod fma-neg add-cbrt-cube log1p-expm1-u associate--r+
2×fma-udef distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log flip--
Counts
3 → 56
Calls
3 calls:
4.0ms
(- 1 (log t))
0.0ms
(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
0.0ms
(fma z (- 1 (log t)) (+ x y))

series320.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(- 1 (log t))
134.0ms
(fma b (- a 0.5) (+ (fma z (- 1 (log t)) (+ x y)) (* (log t) (+ (- z) z))))
56.0ms
(fma z (- 1 (log t)) (+ x y))

simplify165.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0261516
1873360
24678307
35001307

prune211.0ms

Filtered
65 candidates to 43 candidates (66.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes308.0ms

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

sample1.4s

Algorithm
intervals
Results
421.0ms9114×body80valid
349.0ms9282×body80nan
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid