Details

Time bar (total: 10.3s)

sample41.0ms

Algorithm
intervals
Results
19.0ms287×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
06211
113211
237710
3110510
4359910
5500110

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 25.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma z 3.13060547623 11.1667541262) z t) z a)
0.0b
(fma (fma z 3.13060547623 11.1667541262) z t)
1.5b
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
25.4b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 59
Calls
4 calls:
0.0ms
(fma (fma (fma z 3.13060547623 11.1667541262) z t) z a)
0.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
2.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
0.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

series942.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma (fma (fma z 3.13060547623 11.1667541262) z t) z a)
30.0ms
(fma (fma z 3.13060547623 11.1667541262) z t)
117.0ms
(/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))
736.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (fma (fma z 3.13060547623 11.1667541262) z t) z a) z b) x)

simplify102.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0271566
1833503
23550493
35002490

prune403.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
15.0b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
15.0b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
25.4b
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
0.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
1.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
0.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
191.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
191.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
738.0ms
(fma (/ y (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) (fma (fma (* (* (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) (cbrt (fma (fma z 3.13060547623 11.1667541262) z t))) z a) z b) x)

simplify44.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0183673
1422607
21436539
35002529

prune436.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3)
1.4b
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
15.0b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
26.1b
(/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
12×add-exp-log
11×add-cbrt-cube
9×cbrt-prod
6×unpow-prod-down cube-prod div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow frac-2neg pow1/3 clear-num
1×cube-mult pow-to-exp unpow3 pow-exp associate-/r/ rem-cube-cbrt sqr-pow
Counts
4 → 146
Calls
4 calls:
2.0ms
(pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3)
2.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
0.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
5.0ms
(/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

series1.4s

Counts
4 → 12
Calls
4 calls:
185.0ms
(pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3)
100.0ms
(/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y)
191.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
902.0ms
(/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (/ (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771) y))

simplify104.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07312311
136582175
250032157

prune908.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
0.6b
(pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3)
15.0b
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
24.9b
(/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*l*
12×add-exp-log
11×add-cbrt-cube
9×cbrt-prod
7×pow1
6×unpow-prod-down cube-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-/r* associate-/l*
2×cbrt-undiv pow-pow pow1/3 div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×cube-mult pow-to-exp frac-2neg unpow3 pow-prod-down associate-*l/ pow-exp clear-num *-commutative rem-cube-cbrt sqr-pow
Counts
4 → 108
Calls
4 calls:
7.0ms
(* (/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
2.0ms
(pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3)
0.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
2.0ms
(/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

series2.1s

Counts
4 → 12
Calls
4 calls:
910.0ms
(* (/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771)) y)
185.0ms
(pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3)
188.0ms
(cbrt (fma (fma z 3.13060547623 11.1667541262) z t))
789.0ms
(/ (fma z (fma (pow (cbrt (fma (fma z 3.13060547623 11.1667541262) z t)) 3) z a) b) (fma (fma (fma (+ z 15.234687407) z 31.4690115749) z 11.9400905721) z 0.607771387771))

simplify75.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05851505
125281351
250011331

prune636.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes715.0ms

Accuracy

93.8% (1.7b remaining)

Error of 1.9b against oracle of 0.2b and baseline of 27.7b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07133
17133

end0.0ms

sample959.0ms

Algorithm
intervals
Results
622.0ms8892×body80valid