Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0156
1226
2226

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
5.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 71
Calls
4 calls:
9.0ms
(* 1.1283791670955126 (exp z))
17.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series190.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 1.1283791670955126 (exp z))
36.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
61.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0329592
11175552
25002551

prune208.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1 x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
5×*-un-lft-identity
3×add-log-exp difference-of-squares
2×times-frac distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- div-inv
Counts
1 → 17
Calls
1 calls:
6.0ms
(- x (/ 1 x))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(- x (/ 1 x))

simplify82.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
08290
122985
2159481
3500181

prune35.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* 1.1283791670955126 (exp z)) (* x y))
2.8b
(/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3)))
4.4b
(+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))
19.2b
(* (/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))) (+ (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
55×times-frac
46×*-un-lft-identity
34×associate-*l*
32×add-cube-cbrt
28×difference-of-squares sqr-pow
23×add-cbrt-cube
21×add-exp-log
18×pow1
10×prod-exp cbrt-unprod
9×pow-prod-down associate-/r*
7×difference-cubes distribute-lft-out--
6×add-log-exp
4×associate-*r* associate-/r/
3×flip3-+ flip-+ associate-/l*
2×cbrt-undiv frac-times flip3-- associate-*r/ div-exp *-commutative flip-- div-inv unswap-sqr
1×+-commutative distribute-rgt-in distribute-rgt-out frac-2neg distribute-lft-in associate-*l/ clear-num sum-log
Counts
4 → 145
Calls
4 calls:
17.0ms
(* (* 1.1283791670955126 (exp z)) (* x y))
14.0ms
(/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3)))
11.0ms
(+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))
218.0ms
(* (/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))) (+ (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* 1.1283791670955126 (exp z)) (* x y))
73.0ms
(/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3)))
56.0ms
(+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))
172.0ms
(* (/ y (- (pow (* 1.1283791670955126 (exp z)) 3) (pow (* x y) 3))) (+ (* (* 1.1283791670955126 (exp z)) (* 1.1283791670955126 (exp z))) (+ (* (* x y) (* x y)) (* (* 1.1283791670955126 (exp z)) (* x y)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09422499
150012283

prune606.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
1.0b
(- (* 1.1283791670955126 (exp z)) (* x y))
5.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
5.5b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r* associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 82
Calls
4 calls:
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
4.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
62.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
79.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify131.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0226802
1800738
23475734
35001734

prune306.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

59.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

sample429.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid