Details

Time bar (total: 7.8s)

sample25.0ms

Algorithm
intervals
Results
11.0ms341×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
0316
1926
23096
38805
416305
518725
618865
718865

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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
1 → 10
Calls
1 calls:
0.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify117.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
05286
112075
247373
3427871
4500171

prune43.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b
(+ (+ (+ y z) z) y)
0.0b
(+ (+ y z) z)
0.1b
(* x (+ (+ (+ (+ y z) z) y) t))

rewrite950.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
23×distribute-lft-out
20×add-log-exp
10×add-sqr-sqrt fma-def sum-log
8×add-cube-cbrt
7×associate-*r*
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-+l+ flip3-+ flip-+ log1p-expm1-u
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
230.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
69.0ms
(+ (+ (+ y z) z) y)
15.0ms
(+ (+ y z) z)
634.0ms
(* x (+ (+ (+ (+ y z) z) y) t))

series150.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
34.0ms
(+ (+ (+ y z) z) y)
23.0ms
(+ (+ y z) z)
38.0ms
(* x (+ (+ (+ (+ y z) z) y) t))

simplify52.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0402503
11821449
25001430

prune248.0ms

Filtered
101 candidates to 75 candidates (74.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

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 (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
0.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
1.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

series2.1s

Counts
4 → 12
Calls
4 calls:
856.0ms
(* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))
420.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
423.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
418.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))

simplify109.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
03721307
111601206
245331107
350011104

prune327.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.5b
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.6b
(cbrt (* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))))
0.6b
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 53
Calls
4 calls:
0.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
0.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
2.0ms
(cbrt (* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))))
1.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

series2.2s

Counts
4 → 12
Calls
4 calls:
430.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
434.0ms
(cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))
871.0ms
(cbrt (* (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))) (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0))))))
429.0ms
(cbrt (cbrt (fma (+ y z) (+ x x) (fma t x (* y 5.0)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0459948
11163869
23459846
35001842

prune319.0ms

Filtered
65 candidates to 61 candidates (93.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes208.0ms

Accuracy

0% (0.0b 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
0125
1125

end0.0ms

sample677.0ms

Algorithm
intervals
Results
354.0ms10601×body80valid
14.0ms121×body640valid
11.0ms70×body1280valid
6.0ms64×body320valid
2.0ms31×body160valid