Details

Time bar (total: 6.6s)

sample41.0ms

Algorithm
intervals
Results
18.0ms261×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
28.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite61.0ms

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:
12.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
7.0ms
(* (+ (* x y) z) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
30.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series473.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
34.0ms
(* (+ (* x y) z) y)
38.0ms
(* (+ (* (+ y a) y) b) y)
328.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05331196
121541068
250011049

prune616.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma x y z) y 27464.7644705)
0.0b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.1b
(fma (fma (+ y a) y b) y c)
28.9b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
9×add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac div-exp fma-udef associate-/l*
2×cbrt-undiv prod-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 54
Calls
4 calls:
1.0ms
(fma (fma x y z) y 27464.7644705)
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
1.0ms
(fma (fma (+ y a) y b) y c)
4.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

series455.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (fma x y z) y 27464.7644705)
57.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
54.0ms
(fma (fma (+ y a) y b) y c)
306.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify76.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0228497
1651415
22915411
35002411

prune377.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.7b

localize26.0ms

Local error

Found 4 expressions with local error:

20.4b
(cbrt (fma (fma x y z) y 27464.7644705))
20.4b
(cbrt (fma (fma x y z) y 27464.7644705))
20.4b
(cbrt (fma (fma x y z) y 27464.7644705))
28.9b
(/ (fma (fma (* (* (cbrt (fma (fma x y z) y 27464.7644705)) (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (fma (fma x y z) y 27464.7644705))) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 div-exp associate-/l*
2×cbrt-undiv prod-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
1.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
1.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
4.0ms
(/ (fma (fma (* (* (cbrt (fma (fma x y z) y 27464.7644705)) (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (fma (fma x y z) y 27464.7644705))) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

series804.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
162.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
168.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
307.0ms
(/ (fma (fma (* (* (cbrt (fma (fma x y z) y 27464.7644705)) (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (fma (fma x y z) y 27464.7644705))) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify89.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0252925
1719789
23171746
35001725

prune484.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 28.7b

localize34.0ms

Local error

Found 4 expressions with local error:

20.4b
(cbrt (fma (fma x y z) y 27464.7644705))
20.4b
(cbrt (fma (fma x y z) y 27464.7644705))
20.4b
(cbrt (fma (fma x y z) y 27464.7644705))
28.9b
(/ (fma (fma (* (* (* (* (cbrt (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (cbrt (fma (fma x y z) y 27464.7644705)))) (cbrt (cbrt (fma (fma x y z) y 27464.7644705)))) (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (fma (fma x y z) y 27464.7644705))) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 div-exp associate-/l*
2×cbrt-undiv prod-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
1.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
1.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
4.0ms
(/ (fma (fma (* (* (* (* (cbrt (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (cbrt (fma (fma x y z) y 27464.7644705)))) (cbrt (cbrt (fma (fma x y z) y 27464.7644705)))) (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (fma (fma x y z) y 27464.7644705))) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

series811.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
167.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
168.0ms
(cbrt (fma (fma x y z) y 27464.7644705))
309.0ms
(/ (fma (fma (* (* (* (* (cbrt (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (cbrt (fma (fma x y z) y 27464.7644705)))) (cbrt (cbrt (fma (fma x y z) y 27464.7644705)))) (cbrt (fma (fma x y z) y 27464.7644705))) (cbrt (fma (fma x y z) y 27464.7644705))) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify95.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
02611288
17481086
232851033
350011004

prune473.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 28.7b

regimes580.0ms

Accuracy

0% (1.2b remaining)

Error of 29.2b against oracle of 28.0b and baseline of 29.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03630
14030
24030

end0.0ms

sample918.0ms

Algorithm
intervals
Results
554.0ms8229×body80valid