Details

Time bar (total: 29.7s)

sample144.0ms

Algorithm
intervals
Results
44.0ms847×body80nan
20.0ms290×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
0.0ms
(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms
(fma x (log y) z)

series1.0s

Counts
3 → 9
Calls
3 calls:
625.0ms
(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
325.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
51.0ms
(fma x (log y) z)

simplify35.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0117283
1268241
21047236
35002233

prune173.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

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:
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
10.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
505.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
500.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
500.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.2s
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03801678
113671552
250011427

prune475.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.5b
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
0.6b
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
26×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×pow1
9×unpow-prod-down pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×pow-unpow
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-plus pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
11.0ms
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
5.0ms
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
4.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)

series6.3s

Counts
4 → 12
Calls
4 calls:
510.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0s
(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.1s
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
3.7s
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)

simplify97.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07862142
131791984
250011845

prune652.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)
0.9b
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
27×unpow-prod-down
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow-unpow
7×pow1 add-exp-log
6×pow-pow
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp sqr-pow
Counts
4 → 89
Calls
4 calls:
9.0ms
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
4.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)
4.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)
4.0ms
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)

series12.4s

Counts
4 → 12
Calls
4 calls:
1.0s
(cbrt (* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))))
3.9s
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)
3.7s
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)
3.7s
(pow (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) 4)

simplify71.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05122106
120281976
250031938

prune712.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes646.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.3s27048×body80nan
555.0ms9185×body80valid
0.0ms1×body320valid