Details

Time bar (total: 3.1s)

sample27.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0228
1338
2568
3728
4788
51008
61288
71618
81908
93508
106448
1110128
1222588
1350018

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
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
13.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite36.0ms

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-*l/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg 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 → 77
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
16.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
7.0ms
(* (+ 0.99229 (* x 0.04481)) x)
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ 0.99229 (* x 0.04481))
85.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
65.0ms
(* (+ 0.99229 (* x 0.04481)) x)
55.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0418785
11542737
25001731

prune201.0ms

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

rewrite54.0ms

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:
13.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
21.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
3.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
55.0ms
(/ (/ (+ 2.30753 (* x 0.27061)) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))) (sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
80.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
80.0ms
(sqrt (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify114.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
09236227
134685694
250015608

prune576.0ms

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

rewrite50.0ms

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-*l/
4×times-frac associate-*r/ pow-sqr pow-prod-up associate-/l* add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in 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 → 118
Calls
4 calls:
12.0ms
(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
11.0ms
(* (+ 0.99229 (* x 0.04481)) x)
10.0ms
(* (* x 0.27061) (* x 0.27061))
12.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

series234.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
67.0ms
(* (+ 0.99229 (* x 0.04481)) x)
24.0ms
(* (* x 0.27061) (* x 0.27061))
92.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

simplify95.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06571216
135421044
25001996

prune270.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample683.0ms

Algorithm
intervals
Results
586.0ms8000×body80valid