Details

Time bar (total: 3.9s)

sample16.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)))
17.2b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite52.0ms

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))
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)))))

series245.0ms

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)
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 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

prune207.0ms

Filtered
91 candidates to 69 candidates (75.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.0b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×div-exp associate-/r/ unswap-sqr
3×associate-*r/ associate-/r* cbrt-unprod associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×distribute-rgt-in sub-neg flip3-- pow-flip frac-2neg distribute-lft-in diff-log clear-num un-div-inv flip-- inv-pow
Counts
4 → 109
Calls
4 calls:
8.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x)
68.0ms
(* x (+ 0.99229 (* x 0.04481)))
40.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
61.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05831083
12874976
25002949

prune260.0ms

Filtered
121 candidates to 79 candidates (65.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

8.8b
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
17.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
13.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
154.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
147.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
153.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05261360
116581261
250011165

prune363.0ms

Filtered
82 candidates to 72 candidates (87.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* x 0.27061) 3)
0.3b
(* (* x 0.27061) (* x 0.27061))
17.2b
(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
22.4b
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
73×add-sqr-sqrt add-cube-cbrt
46×pow1
26×add-exp-log add-cbrt-cube associate-/l*
18×pow-prod-down
16×sum-cubes distribute-lft-out
12×associate-/r/
9×prod-exp cbrt-unprod
7×flip3-+ flip-+
6×associate-/r* div-inv
4×cbrt-undiv div-exp pow-sqr pow-prod-up add-log-exp
3×pow-unpow associate-/l/
2×pow-pow frac-2neg pow-plus pow-exp clear-num rem-cube-cbrt
1×pow2 cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod swap-sqr associate-*r* associate-*l* *-commutative sqr-pow
Counts
4 → 199
Calls
4 calls:
2.0ms
(pow (* x 0.27061) 3)
10.0ms
(* (* x 0.27061) (* x 0.27061))
90.0ms
(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
34.0ms
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series236.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(pow (* x 0.27061) 3)
25.0ms
(* (* x 0.27061) (* x 0.27061))
110.0ms
(/ (/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (+ (* 2.30753 2.30753) (- (* (* x 0.27061) (* x 0.27061)) (* 2.30753 (* x 0.27061)))))
61.0ms
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify138.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08364141
140093860
250013856

prune673.0ms

Filtered
211 candidates to 144 candidates (68.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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
02923
12923

end0.0ms

sample327.0ms

Algorithm
intervals
Results
241.0ms8000×body80valid