Details

Time bar (total: 3.5s)

sample27.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1508
2698
3758
4758

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)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
46×times-frac
45×prod-diff
15×fma-neg
10×associate-/r/
8×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
6×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×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 distribute-lft-out-- unswap-sqr
Counts
4 → 150
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
42.0ms
(- (/ (+ 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))
85.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06042053
124321582
250011515

prune354.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.2b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.2b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.2b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt add-cube-cbrt pow-flip *-un-lft-identity flip3-+ pow1/3 flip-+
8×associate-/r/
7×add-cbrt-cube
4×expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 90
Calls
4 calls:
13.0ms
(/ 1 (* (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)))))

series603.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
145.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
140.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
145.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05021371
117561238
250021133

prune401.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
25×add-exp-log add-cbrt-cube
19×pow-prod-down
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×prod-exp cbrt-unprod
8×frac-times associate-/r/
7×flip3-- flip3-+ associate-*r* associate-*l* flip-- flip-+
6×distribute-rgt-in distribute-lft-in associate-*r/ prod-diff
4×expm1-log1p-u times-frac associate-*l/ pow-sqr pow-prod-up log1p-expm1-u associate-/l* add-log-exp
3×*-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 → 134
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))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061)))
60.0ms
(* x (+ 0.99229 (* x 0.04481)))
29.0ms
(* (* x 0.27061) (* x 0.27061))
92.0ms
(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))) (- 2.30753 (* x 0.27061))))

simplify117.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07521384
142081072
250011068

prune342.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02722
12722

end0.0ms

sample666.0ms

Algorithm
intervals
Results
574.0ms8000×body80valid