Details

Time bar (total: 8.1s)

sample49.0ms

Algorithm
intervals
Results
30.0ms263×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
31.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 99
Calls
4 calls:
31.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
37.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
22.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
47.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series540.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
67.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
58.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
332.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify67.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05311308
121581168
250011146

prune796.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 31.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)
0.1b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
31.9b
(/ (+ (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×pow-prod-down associate-*l/ prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)
0.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
30.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
26.0ms
(/ (+ (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series528.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)
55.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
70.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
331.0ms
(/ (+ (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify54.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04061029
11540932
25001921

prune494.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 31.4b

localize26.0ms

Local error

Found 4 expressions with local error:

23.3b
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
23.3b
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
23.3b
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
31.9b
(/ (+ (* (* (* (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616)) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 72
Calls
4 calls:
0.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
0.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
1.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
156.0ms
(/ (+ (* (* (* (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616)) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series833.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
169.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
168.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
332.0ms
(/ (+ (* (* (* (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616)) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03211535
110791392
250021302

prune557.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 31.4b

localize27.0ms

Local error

Found 4 expressions with local error:

19.4b
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
19.4b
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
19.4b
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
31.9b
(/ (+ (* (* (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite59.0ms

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×cbrt-prod pow1/3 associate-/r* associate-/l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
1.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
1.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
53.0ms
(/ (+ (* (* (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series967.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
201.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
197.0ms
(cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))
369.0ms
(/ (+ (* (* (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y)) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) (cbrt (* (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify97.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
03421631
110071475
236071389
350011355

prune459.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 31.4b

regimes668.0ms

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.2b and baseline of 29.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03213
13213

end0.0ms

sample1.3s

Algorithm
intervals
Results
978.0ms8213×body80valid