Details

Time bar (total: 16.7s)

sample181.0ms

Algorithm
intervals
Results
89.0ms874×body80nan
33.0ms294×body80valid
0.0ms1×body320valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03910
11118
24648
316548
450018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.2b
(fma x (log y) z)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×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
2 → 20
Calls
2 calls:
0.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms
(fma x (log y) z)

series406.0ms

Counts
2 → 6
Calls
2 calls:
353.0ms
(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms
(fma x (log y) z)

simplify29.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
095162
1221139
2800135
35001132

prune132.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
33×add-sqr-sqrt
31×*-un-lft-identity
29×add-cube-cbrt
22×distribute-rgt-in associate-+l+ distribute-lft-in
12×add-log-exp
6×pow1 associate-*r/ sum-log
5×add-exp-log associate-*r* add-cbrt-cube
4×sub-neg associate-*l* frac-add
3×expm1-log1p-u flip3-- flip3-+ flip-- flip-+ log1p-expm1-u
1×+-commutative associate-+r+ fma-def pow-prod-down prod-exp log-pow *-commutative cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 100
Calls
3 calls:
28.0ms
(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
0.0ms
(fma x (log y) z)
12.0ms
(* (log c) (- b 0.5))

series551.0ms

Counts
3 → 9
Calls
3 calls:
397.0ms
(+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))
52.0ms
(fma x (log y) z)
101.0ms
(* (log c) (- b 0.5))

simplify69.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05731075
12493841
25001836

prune462.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
74×associate-*r/
68×frac-add
51×flip3-+ flip-+
36×frac-times
34×flip3-- flip--
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* 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 → 147
Calls
4 calls:
191.0ms
(* (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))) (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))))
23.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
25.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
23.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))

series2.8s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))) (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))))
563.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
562.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
570.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))

simplify114.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07155823
127645683
250015551

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-div
74×associate-*r/
68×frac-add
51×flip3-+ flip-+
36×frac-times
34×flip3-- flip--
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 116
Calls
4 calls:
22.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
23.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
25.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
58.0ms
(cbrt (* (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))) (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))))

series2.9s

Counts
4 → 12
Calls
4 calls:
568.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
573.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
576.0ms
(cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))
1.2s
(cbrt (* (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a)))) (cbrt (+ (* (log c) (- b 0.5)) (+ (fma x (log y) z) (+ t a))))))

simplify92.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
07635491
124885388
250015362

prune993.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes791.0ms

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
0229
1229

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.8s27903×body80nan
1.1s9270×body80valid
1.0ms1×body1280valid
0.0ms2×body160valid
0.0ms1×body320valid