Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify139.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite107.0ms

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:
80.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
2.0ms
(+ 2.30753 (* x 0.27061))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
32.0ms
(+ 2.30753 (* x 0.27061))
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07783547
132452882
250022652

prune341.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma 0.04481 x 0.99229)))) x))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (fma 0.04481 x 0.99229))
14.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma 0.04481 x 0.99229))))

rewrite103.0ms

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 add-cbrt-cube
9×flip3-+ associate-*r* flip-+
8×pow1
7×div-inv
6×associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-/r* associate-/l*
2×sub-neg associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef 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 → 190
Calls
4 calls:
80.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma 0.04481 x 0.99229)))) x))
2.0ms
(+ 2.30753 (* x 0.27061))
3.0ms
(* x (fma 0.04481 x 0.99229))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma 0.04481 x 0.99229))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma 0.04481 x 0.99229)))) x))
31.0ms
(+ 2.30753 (* x 0.27061))
62.0ms
(* x (fma 0.04481 x 0.99229))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (fma 0.04481 x 0.99229))))

simplify92.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07153241
128232606
250022442

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
28.2b
(/ (* (fma 0.27061 x 2.30753) (fma (* x (+ 0.99229 (* x 0.04481))) (- (* x (+ 0.99229 (* x 0.04481))) 1.0) (* 1.0 1.0))) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt *-un-lft-identity
11×pow1 add-cube-cbrt
6×associate-*r/ associate-*r* associate-*l*
5×times-frac associate-/r*
4×expm1-log1p-u flip3-+ prod-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down
2×cbrt-undiv cube-div distribute-rgt-in pow-pow distribute-lft-in div-exp pow-exp associate-/r/ sum-cubes *-commutative distribute-lft-out rem-cube-cbrt unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg unpow3 cube-prod clear-num div-inv associate-/l* sqr-pow
Counts
4 → 103
Calls
4 calls:
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
20.0ms
(/ (* (fma 0.27061 x 2.30753) (fma (* x (+ 0.99229 (* x 0.04481))) (- (* x (+ 0.99229 (* x 0.04481))) 1.0) (* 1.0 1.0))) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
52.0ms
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
159.0ms
(/ (* (fma 0.27061 x 2.30753) (fma (* x (+ 0.99229 (* x 0.04481))) (- (* x (+ 0.99229 (* x 0.04481))) 1.0) (* 1.0 1.0))) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))

simplify85.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05061095
12687908
25003890

prune537.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

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
0208
1208

end0.0ms

sample583.0ms

Algorithm
intervals
Results
489.0ms8000×body80valid