Details

Time bar (total: 19.0s)

sample166.0ms

Algorithm
intervals
Results
74.0ms836×body80nan
33.0ms294×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log expm1-log1p-u fma-def sum-log add-cbrt-cube fma-udef log1p-expm1-u distribute-lft-out
1×+-commutative associate-+l+ associate-+r+ flip3-+ flip-+
Counts
3 → 41
Calls
3 calls:
10.0ms
(+ (fma x (log y) z) (+ t a))
0.0ms
(fma x (log y) z)
0.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))

series475.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(+ (fma x (log y) z) (+ t a))
49.0ms
(fma x (log y) z)
346.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0187278
1634250
23135246
35002245

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

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)))))

rewrite11.0ms

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:
0.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0ms
(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))))
8.0ms
(* (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:
547.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
539.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
549.0ms
(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
1.1s
(* (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)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03801678
113671552
250011427

prune474.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
19×pow1/3
15×pow1
13×add-exp-log add-cube-cbrt
12×add-sqr-sqrt *-un-lft-identity
9×pow-prod-down
8×pow-prod-up
6×associate-*r* prod-exp add-cbrt-cube cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
1.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
62.0ms
(* (* (* (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))) (cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))) (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)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
539.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
537.0ms
(cbrt (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))
542.0ms
(cbrt (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 (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))))) (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)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04532341
117361896
250031669

prune553.0ms

Pruning

5 alts after pruning (3 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)))) (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)))))
0.5b
(* (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)))))
0.5b
(* (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)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×cbrt-prod
28×add-cube-cbrt *-un-lft-identity
25×pow1
19×pow1/3
18×swap-sqr associate-*r* associate-*l*
12×unswap-sqr
10×add-exp-log
6×pow-prod-down pow-sqr pow-prod-up
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
3.0ms
(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))))))
5.0ms
(* (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)))))
9.0ms
(* (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)))))
6.0ms
(* (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)))))

series4.5s

Counts
4 → 12
Calls
4 calls:
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))))))
1.1s
(* (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 (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 (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)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03943150
115142895
250022523

prune795.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes641.0ms

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

sample5.2s

Algorithm
intervals
Results
2.4s27424×body80nan
1.2s9215×body80valid
1.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid