Details

Time bar (total: 7.8s)

sample124.0ms

Algorithm
intervals
Results
44.0ms560×body80valid
43.0ms547×body80nan

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b
(exp (/ (* t t) 2.0))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv
1×frac-2neg clear-num sqrt-prod rem-exp-log associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
37.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t t) 2.0)
160.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
22.0ms
(exp (/ (* t t) 2.0))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0443614
11819523
25001520

prune277.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
0.0b
(pow E (/ (* t t) 2.0))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
16×add-cbrt-cube
15×add-sqr-sqrt
14×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×associate-*r*
7×pow1 pow-unpow
6×unpow-prod-down times-frac associate-*l/ pow-exp
5×cbrt-unprod
4×associate-*l* add-log-exp
3×pow-to-exp e-exp-1 associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv sqr-pow
1×pow-pow frac-2neg pow-prod-down clear-num sqrt-prod associate-/l* unswap-sqr
Counts
4 → 92
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
35.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
2.0ms
(pow E (/ (* t t) 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series336.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* t t) 2.0)
182.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
25.0ms
(pow E (/ (* t t) 2.0))
104.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0521720
12294634
25001634

prune316.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0)))
0.0b
(pow E (/ (* t t) 2.0))
0.3b
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
18×add-sqr-sqrt
16×add-cbrt-cube
14×prod-exp
13×add-cube-cbrt *-un-lft-identity
8×associate-*r*
7×pow1 unpow-prod-down pow-unpow associate-*l*
6×times-frac pow-exp
5×cbrt-unprod
4×add-log-exp
3×pow-to-exp e-exp-1 associate-/r* unswap-sqr sqr-pow
2×cbrt-undiv div-exp associate-*l/ *-commutative div-inv
1×flip3-- pow-pow frac-2neg pow-prod-down clear-num sqrt-prod flip-- associate-/l*
Counts
4 → 92
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
11.0ms
(* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0)))
2.0ms
(pow E (/ (* t t) 2.0))
33.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* t t) 2.0)
122.0ms
(* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0)))
24.0ms
(pow E (/ (* t t) 2.0))
182.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0))))

simplify67.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0553783
12291684
25003684

prune315.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow E (/ (* t t) 2.0))
0.0b
(* (sqrt 2.0) (pow E (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0)))))
0.4b
(* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
28×prod-exp
24×add-sqr-sqrt
20×add-cbrt-cube
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
12×pow1
10×cbrt-unprod
9×associate-*r* sqrt-prod
8×unpow-prod-down pow-exp
7×pow-unpow
6×unswap-sqr
4×pow-to-exp e-exp-1 pow-prod-down add-log-exp sqr-pow
3×times-frac *-commutative
2×associate-*l/
1×flip3-- pow-pow flip-- div-inv
Counts
4 → 102
Calls
4 calls:
2.0ms
(pow E (/ (* t t) 2.0))
8.0ms
(* (sqrt 2.0) (pow E (/ (* t t) 2.0)))
43.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0)))))
13.0ms
(* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0))))

series455.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(pow E (/ (* t t) 2.0))
62.0ms
(* (sqrt 2.0) (pow E (/ (* t t) 2.0)))
224.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0)))))
137.0ms
(* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05041022
12215899
25003892

prune296.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes623.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12510
22510

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.4s17914×body80valid
1.4s17639×body80nan