Details

Time bar (total: 2.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify111.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0319
1519
2699
3869
4949
51059
61399
71779
82029
92469
104169
116159
129929
1319489
1422409
1531549
1650019

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(+ 2.30753 (* x 0.27061))
0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
16.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×pow1
5×flip3-+ flip-+
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 75
Calls
4 calls:
2.0ms
(+ 2.30753 (* x 0.27061))
2.0ms
(+ 0.99229 (* x 0.04481))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 2.30753 (* x 0.27061))
52.0ms
(+ 0.99229 (* x 0.04481))
79.0ms
(* x (+ 0.99229 (* x 0.04481)))
56.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0401622
11709574
25001574

prune193.0ms

Filtered
87 candidates to 65 candidates (74.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

8.2b
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
17.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.4b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
71.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (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)))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
169.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
140.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
137.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07612759
137612417
250022216

prune414.0ms

Filtered
131 candidates to 95 candidates (72.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(* x (+ 0.99229 (* x 0.04481)))
3.3b
(log (exp (* x (+ 0.99229 (* x 0.04481)))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-log-exp
7×pow1 add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×log-prod
3×flip3-+ associate-*r* associate-*l* log-pow flip-+
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/ exp-sum sum-log
1×exp-prod exp-to-pow rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 60
Calls
4 calls:
4.0ms
(+ 0.99229 (* x 0.04481))
4.0ms
(+ 2.30753 (* x 0.27061))
9.0ms
(* x (+ 0.99229 (* x 0.04481)))
2.0ms
(log (exp (* x (+ 0.99229 (* x 0.04481)))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ 0.99229 (* x 0.04481))
31.0ms
(+ 2.30753 (* x 0.27061))
63.0ms
(* x (+ 0.99229 (* x 0.04481)))
98.0ms
(log (exp (* x (+ 0.99229 (* x 0.04481)))))

simplify36.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0271321
11104284
25002284

prune184.0ms

Filtered
72 candidates to 51 candidates (70.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03123
13123

end0.0ms

sample363.0ms

Algorithm
intervals
Results
272.0ms8000×body80valid