Details

Time bar (total: 3.1s)

sample31.0ms

Algorithm
intervals
Results
22.0ms256×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

localize10.0ms

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)))
13.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite53.0ms

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:
4.0ms
(+ 0.99229 (* x 0.04481))
32.0ms
(- (/ (+ 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)))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 0.99229 (* x 0.04481))
87.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
57.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0437781
11823736
25001736

prune202.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
0.2b
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.8b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
10.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
20.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
3.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
57.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
82.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
09296229
135405694
250015608

prune582.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(* (* x 0.27061) (* x 0.27061))
20.4b
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061))))

rewrite47.0ms

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:
14.0ms
(* (+ 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))))

series229.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061)))
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
24.0ms
(* (* x 0.27061) (* x 0.27061))
93.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061))))

simplify110.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06791219
138191050
250011017

prune276.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample705.0ms

Algorithm
intervals
Results
602.0ms8000×body80valid