Details

Time bar (total: 7.2s)

sample94.0ms

Algorithm
intervals
Results
24.0ms609×body80nan
23.0ms588×body80valid

simplify75.0ms

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

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-sqr-sqrt add-cbrt-cube
8×add-exp-log add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×associate-*l/
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×times-frac
2×flip3-- *-commutative flip--
1×sqrt-prod div-inv rem-exp-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
4.0ms
(exp (/ (* t t) 2.0))
97.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
37.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series292.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(exp (/ (* t t) 2.0))
171.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
102.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0365529
11421453
25002450

prune188.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×associate-*r*
10×prod-exp add-cbrt-cube
9×times-frac
6×pow1 unpow-prod-down associate-*l/
4×pow-pow associate-*l* cbrt-unprod
3×pow-to-exp exp-prod pow-exp add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
6.0ms
(pow (exp t) (/ t 2.0))
89.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
37.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series334.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(pow (exp t) (/ t 2.0))
186.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
99.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0495663
12045592
25002592

prune251.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp t) (/ (/ t 2.0) 2))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
0.0b
(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
65×add-sqr-sqrt
58×prod-exp
56×add-exp-log
51×add-cube-cbrt *-un-lft-identity
43×pow-unpow
21×unpow-prod-down
20×add-cbrt-cube
19×pow-to-exp pow-exp
12×pow1 associate-*r*
11×associate-*l* sqr-pow
10×cbrt-unprod unswap-sqr
7×swap-sqr
6×associate-*l/
5×pow-prod-down
4×pow-pow div-inv add-log-exp
3×exp-prod *-commutative
2×flip3-- flip--
1×pow2 sqrt-prod pow-sqr pow-prod-up
Counts
4 → 171
Calls
4 calls:
9.0ms
(pow (exp t) (/ (/ t 2.0) 2))
118.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
28.0ms
(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
37.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(pow (exp t) (/ (/ t 2.0) 2))
220.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
63.0ms
(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
101.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08931733
137571474
250011453

prune540.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
100×prod-exp
98×add-exp-log
34×add-cbrt-cube
33×add-sqr-sqrt
24×pow-to-exp pow-exp
20×pow1 associate-*r* cbrt-unprod
18×unpow-prod-down
17×add-cube-cbrt *-un-lft-identity
12×associate-*l* associate-*l/
11×pow-prod-down unswap-sqr
10×sqr-pow
7×swap-sqr sqrt-prod
4×*-commutative add-log-exp
3×flip3-- flip--
1×pow2 pow-sqr pow-prod-up
Counts
4 → 150
Calls
4 calls:
27.0ms
(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
198.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
31.0ms
(* (- (* x 0.5) y) (sqrt z))
55.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series482.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
233.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
60.0ms
(* (- (* x 0.5) y) (sqrt z))
125.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06611777
127041492
250021465

prune323.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes322.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample2.7s

Algorithm
intervals
Results
751.0ms18129×body80valid
726.0ms18100×body80nan