Details

Time bar (total: 4.2s)

sample19.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0319
1599
2909
31167
41307
51487
61887
72647
83047
93777
105807
118517
1214027
1327877
1431687
1543217
1650017

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
91×*-un-lft-identity
90×prod-diff
89×add-cube-cbrt
64×times-frac
48×distribute-rgt-in distribute-lft-in
14×associate-/r/
10×add-exp-log flip3-+ add-cbrt-cube flip-+
9×associate-*r*
8×pow1
7×div-inv
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×fma-def associate-/r* associate-/l*
2×sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- distribute-lft-out--
Counts
4 → 192
Calls
4 calls:
7.0ms
(+ 0.99229 (* x 0.04481))
141.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
15.0ms
(* x (+ 0.99229 (* x 0.04481)))
26.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series237.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 0.99229 (* x 0.04481))
88.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
51.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify104.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
07753548
132472880
250012649

prune549.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
14.1b
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
0.0ms
(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series152.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* 0.70711 (- x)))
24.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
63.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0222417
1640372
23067368
35002361

prune272.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
0.6b
(* (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
14.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.1b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite408.0ms

Algorithm
rewrite-expression-head
Rules
63×pow1
38×pow-prod-down
37×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×add-exp-log add-cbrt-cube
19×times-frac
18×sqrt-pow1 pow1/2
16×associate-*r/
14×sqrt-div
13×sqrt-prod
10×associate-*r*
9×prod-exp cbrt-unprod
8×pow-prod-up
7×flip3-- associate-*l* flip--
6×sqrt-unprod associate-/r* pow-sqr associate-/l*
4×expm1-log1p-u frac-times flip3-+ associate-/r/ flip-+ log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
2×cbrt-undiv frac-2neg pow-plus div-exp associate-*l/ clear-num *-commutative div-inv difference-of-squares
1×pow2 swap-sqr rem-square-sqrt distribute-lft-out--
Counts
4 → 157
Calls
4 calls:
116.0ms
(* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
239.0ms
(* (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
24.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
22.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
134.0ms
(* (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))) (* (sqrt 0.70711) (sqrt (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
55.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
50.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06272326
127441946
250011865

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample404.0ms

Algorithm
intervals
Results
309.0ms8000×body80valid