Details

Time bar (total: 7.4s)

sample99.0ms

Algorithm
intervals
Results
27.0ms580×body80valid
23.0ms509×body80nan

simplify73.0ms

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 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
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)))

rewrite206.0ms

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:
10.0ms
(/ (* t t) 2.0)
5.0ms
(exp (/ (* t t) 2.0))
151.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
38.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t t) 2.0)
18.0ms
(exp (/ (* t t) 2.0))
145.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
92.0ms
(* (- (* 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

prune265.0ms

Pruning

11 alts after pruning (10 fresh and 1 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)))

rewrite158.0ms

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))
100.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
50.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(pow (exp t) (/ t 2.0))
168.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
92.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0495663
12045592
25002592

prune451.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
0.0b
(pow (pow (exp t) (/ t 2.0)) 3)
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
39×unpow-prod-down
27×associate-*r*
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×cube-prod
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×sqr-pow
6×associate-*l/
4×associate-*l* pow-prod-down pow-exp prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3
2×pow-to-exp flip3-- *-commutative flip--
1×pow-pow pow1/3 sqrt-prod rem-cbrt-cube rem-cube-cbrt unswap-sqr
Counts
4 → 123
Calls
4 calls:
7.0ms
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
108.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
7.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
41.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
171.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
75.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
93.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify81.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05551090
123761014
250011003

prune352.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
0.0b
(pow (pow (exp t) (/ t 2.0)) 3)
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.5b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
35×associate-*r*
26×unpow-prod-down
24×add-sqr-sqrt
21×add-exp-log
20×pow1 cbrt-prod add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
14×cube-prod
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
7×sqrt-prod
6×sqr-pow
5×associate-*l*
4×pow-exp add-log-exp
3×pow-unpow flip3-- *-commutative flip--
2×cube-mult pow-to-exp unpow3 unswap-sqr
1×pow-pow rem-cube-cbrt
Counts
4 → 123
Calls
4 calls:
193.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
7.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
32.0ms
(* (- (* x 0.5) y) (sqrt z))
57.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series462.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
79.0ms
(pow (pow (exp t) (/ t 2.0)) 3)
53.0ms
(* (- (* x 0.5) y) (sqrt z))
124.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
05991167
129401053
250011042

prune364.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes467.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample2.7s

Algorithm
intervals
Results
736.0ms17980×body80valid
734.0ms17954×body80nan