Details

Time bar (total: 12.9s)

sample166.0ms

Algorithm
intervals
Results
85.0ms1831×body80nan
14.0ms259×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1618
21618
33938
49848
522568
640958
750018

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (log (+ x y)) (log z)) t)
0.2b
(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.7b
(+ (log (+ x y)) (log z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
28×pow1
25×log-pow distribute-lft-out
21×prod-diff
19×add-sqr-sqrt
17×add-cube-cbrt
7×log-prod fma-neg
6×add-log-exp
5×distribute-lft-out--
4×associate-+l- log-div associate-+l+ fma-def
3×add-exp-log expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×associate--l- diff-log sum-log
1×+-commutative sub-neg flip3-- associate--l+ flip-- fma-udef difference-of-squares
Counts
3 → 92
Calls
3 calls:
9.0ms
(- (+ (log (+ x y)) (log z)) t)
1.0ms
(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
7.0ms
(+ (log (+ x y)) (log z))

series332.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(- (+ (log (+ x y)) (log z)) t)
92.0ms
(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
74.0ms
(+ (log (+ x y)) (log z))

simplify39.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0388866
11209661
25001650

prune293.0ms

Filtered
101 candidates to 61 candidates (60.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log (+ x y)))
0.5b
(cbrt (log (+ x y)))
0.5b
(cbrt (log (+ x y)))
0.8b
(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
7×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 log-pow
1×fma-udef
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (log (+ x y)))
2.0ms
(cbrt (log (+ x y)))
1.0ms
(cbrt (log (+ x y)))
1.0ms
(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

series2.0s

Counts
4 → 12
Calls
4 calls:
468.0ms
(cbrt (log (+ x y)))
465.0ms
(cbrt (log (+ x y)))
462.0ms
(cbrt (log (+ x y)))
566.0ms
(fma (* (cbrt (log (+ x y))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

simplify56.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (52.0ms)

IterNodesCost
097446
1173386
2488377
31652351
45002350

prune301.0ms

Filtered
64 candidates to 55 candidates (85.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (log (+ x y)))
0.5b
(cbrt (log (+ x y)))
0.5b
(cbrt (cbrt (log (+ x y))))
0.8b
(fma (* (* (cbrt (* (cbrt (log (+ x y))) (cbrt (log (+ x y))))) (cbrt (cbrt (log (+ x y))))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 log-pow
1×fma-udef
Counts
4 → 55
Calls
4 calls:
1.0ms
(cbrt (log (+ x y)))
1.0ms
(cbrt (log (+ x y)))
2.0ms
(cbrt (cbrt (log (+ x y))))
1.0ms
(fma (* (* (cbrt (* (cbrt (log (+ x y))) (cbrt (log (+ x y))))) (cbrt (cbrt (log (+ x y))))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

series2.0s

Counts
4 → 12
Calls
4 calls:
478.0ms
(cbrt (log (+ x y)))
470.0ms
(cbrt (log (+ x y)))
476.0ms
(cbrt (cbrt (log (+ x y))))
567.0ms
(fma (* (* (cbrt (* (cbrt (log (+ x y))) (cbrt (log (+ x y))))) (cbrt (cbrt (log (+ x y))))) (cbrt (log (+ x y)))) (cbrt (log (+ x y))) (log z))

simplify92.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
0131626
1235551
2668544
32641530
45001530

prune365.0ms

Filtered
67 candidates to 58 candidates (86.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))))
0.7b
(+ (log (+ x y)) (log z))
0.7b
(+ (log (+ x y)) (log z))
0.7b
(+ (log (+ x y)) (log z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
29×add-sqr-sqrt
26×pow1
21×add-cube-cbrt log-prod
16×cbrt-prod
15×log-pow distribute-lft-out
12×associate-+l+ fma-def
9×associate-+r+
6×add-exp-log associate-+l- log-div flip3-+ pow1/3 swap-sqr associate-*r* associate-*l* flip-+
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×+-commutative sum-log
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 132
Calls
4 calls:
6.0ms
(* (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))))
7.0ms
(+ (log (+ x y)) (log z))
7.0ms
(+ (log (+ x y)) (log z))
7.0ms
(+ (log (+ x y)) (log z))

series972.0ms

Counts
4 → 12
Calls
4 calls:
752.0ms
(* (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))) (cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))))
74.0ms
(+ (log (+ x y)) (log z))
75.0ms
(+ (log (+ x y)) (log z))
71.0ms
(+ (log (+ x y)) (log z))

simplify82.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07061687
127731534
250021423

prune639.0ms

Filtered
144 candidates to 105 candidates (72.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes647.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02326
12326

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.5s55561×body80nan
431.0ms8035×body80valid