Details

Time bar (total: 7.8s)

sample55.0ms

Algorithm
intervals
Results
38.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06211
115411
250311
3184011
4500311

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
0.1b
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
0.5b
(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
23.7b
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
96×add-sqr-sqrt *-un-lft-identity
68×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
4 → 152
Calls
4 calls:
0.0ms
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
0.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
11.0ms
(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
2.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

series548.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
34.0ms
(fma (fma x 4.16438922228 78.6994924154) x 137.519416416)
294.0ms
(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z)))
184.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (fma (fma x 4.16438922228 78.6994924154) x 137.519416416) x y) x z))

simplify98.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06742773
126182640
250012638

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
0.1b
(* (fma x 4.16438922228 78.6994924154) x)
0.5b
(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)))
23.7b
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
100×add-sqr-sqrt
98×*-un-lft-identity
70×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
13×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num associate-/l/
1×flip3-- div-sub pow-prod-down prod-exp associate-/r/ *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
4 → 162
Calls
4 calls:
0.0ms
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
3.0ms
(* (fma x 4.16438922228 78.6994924154) x)
11.0ms
(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)))
2.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))

series553.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
65.0ms
(* (fma x 4.16438922228 78.6994924154) x)
281.0ms
(/ (- x 2.0) (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)))
172.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))

simplify98.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07123020
128002873
250012869

prune754.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
0.1b
(* (fma x 4.16438922228 78.6994924154) x)
0.3b
(/ 1 (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)))
23.7b
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
19×add-exp-log
16×associate-/r*
13×add-cbrt-cube
8×div-exp
7×pow1
6×div-inv associate-/l*
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod fma-udef inv-pow unswap-sqr
Counts
4 → 137
Calls
4 calls:
0.0ms
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
3.0ms
(* (fma x 4.16438922228 78.6994924154) x)
5.0ms
(/ 1 (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)))
2.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))

series516.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894)
65.0ms
(* (fma x 4.16438922228 78.6994924154) x)
236.0ms
(/ 1 (/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)))
173.0ms
(/ (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606) (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))

simplify70.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04802158
119781973
250021887

prune557.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

15.4b
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
15.4b
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
15.4b
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
20.0b
(/ (* (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)) (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))) (* (cbrt (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)) (cbrt (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log
9×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 62
Calls
4 calls:
0.0ms
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
0.0ms
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
1.0ms
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
10.0ms
(/ (* (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)) (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))) (* (cbrt (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)) (cbrt (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))))

series825.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
149.0ms
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
153.0ms
(cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))
374.0ms
(/ (* (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606)) (cbrt (fma (fma (fma (+ x 43.3400022514) x 263.505074721) x 313.399215894) x 47.066876606))) (* (cbrt (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z)) (cbrt (fma (fma (+ (* (fma x 4.16438922228 78.6994924154) x) 137.519416416) x y) x z))))

simplify109.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
03321174
11064944
24554878
35001872

prune450.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes292.0ms

Accuracy

96.8% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 26.0b

bsearch250.0ms

Steps
ItersRangePoint
8
2.8538281382745483e+50
4.342264286824644e+54
2.904583194905303e+50
8
-3.2180479143428876e+44
-4.8671173181758835e+41
-6.886012064407151e+43

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06022
16022

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8005×body80valid