Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

prune2.0ms

Pruning

1 alts after pruning (1 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
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
36.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ 0.99229 (* x 0.04481))
89.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
68.0ms
(* x (+ 0.99229 (* x 0.04481)))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437781
11823736
25001736

prune214.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
10×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
4×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 79
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
35.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ 0.99229 (* x 0.04481))
89.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
68.0ms
(* x (+ 0.99229 (* x 0.04481)))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437781
11823736
25001736

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.3b
(* (* x 0.27061) (* x 0.27061))
21.2b
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
25×add-exp-log add-cbrt-cube
19×pow-prod-down
14×add-sqr-sqrt
11×prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
7×flip3-- flip3-+ associate-*r* associate-*l* flip-- flip-+
6×associate-*r/
4×times-frac associate-*l/ pow-sqr pow-prod-up associate-/l* add-log-exp
3×distribute-rgt-in distribute-lft-in *-commutative
2×cbrt-undiv sub-neg pow-plus div-exp associate-/l/ difference-of-squares unswap-sqr
1×pow2 frac-2neg div-sub swap-sqr clear-num associate-/r* div-inv
Counts
4 → 120
Calls
4 calls:
12.0ms
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061)))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(* (* x 0.27061) (* x 0.27061))
12.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061))))

series245.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061)))
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
30.0ms
(* (* x 0.27061) (* x 0.27061))
96.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061))))

simplify109.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06791219
138191050
250011017

prune326.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x 0.27061) (* x 0.27061))
0.3b
(* 2.30753 (* x 0.27061))
19.3b
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- (pow 2.30753 3) (pow (* x 0.27061) 3))))
20.9b
(* (/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- (pow 2.30753 3) (pow (* x 0.27061) 3)))) (+ (* 2.30753 2.30753) (+ (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
35×add-exp-log add-cbrt-cube
21×pow-prod-down
20×associate-*l*
16×prod-exp associate-/r/ cbrt-unprod
12×add-sqr-sqrt
10×frac-times add-cube-cbrt *-un-lft-identity
8×flip3-+ times-frac flip-+
7×flip3-- flip--
6×associate-*r/
5×associate-*r* associate-*l/
4×cbrt-undiv div-exp pow-sqr pow-prod-up associate-/l* add-log-exp
3×*-commutative difference-of-squares
2×pow-plus div-inv associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in div-sub swap-sqr clear-num associate-/r* unswap-sqr
Counts
4 → 128
Calls
4 calls:
9.0ms
(* (* x 0.27061) (* x 0.27061))
6.0ms
(* 2.30753 (* x 0.27061))
21.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- (pow 2.30753 3) (pow (* x 0.27061) 3))))
161.0ms
(* (/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- (pow 2.30753 3) (pow (* x 0.27061) 3)))) (+ (* 2.30753 2.30753) (+ (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))

series280.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* x 0.27061) (* x 0.27061))
14.0ms
(* 2.30753 (* x 0.27061))
105.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- (pow 2.30753 3) (pow (* x 0.27061) 3))))
135.0ms
(* (/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- (pow 2.30753 3) (pow (* x 0.27061) 3)))) (+ (* 2.30753 2.30753) (+ (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09542117
150021763

prune516.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

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
0248
1248

end0.0ms

sample346.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid