Details

Time bar (total: 6.9s)

sample84.0ms

Algorithm
intervals
Results
24.0ms571×body80valid
23.0ms567×body80nan

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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
(* (* (- (* 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)))

rewrite29.0ms

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:
4.0ms
(/ (* t t) 2.0)
12.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* t t) 2.0)
158.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
18.0ms
(exp (/ (* t t) 2.0))
102.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0443614
11819523
25001520

prune258.0ms

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)))

rewrite26.0ms

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:
4.0ms
(pow (exp t) (/ t 2.0))
11.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series354.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(pow (exp t) (/ t 2.0))
194.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
110.0ms
(* (- (* 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

prune271.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
14×cbrt-prod
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×unpow-prod-down associate-*l/
5×associate-*r*
4×associate-*l* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- sqr-pow
1×sqrt-prod unswap-sqr
Counts
4 → 81
Calls
4 calls:
2.0ms
(cbrt (pow (exp t) (/ t 2.0)))
2.0ms
(cbrt (pow (exp t) (/ t 2.0)))
27.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series656.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (pow (exp t) (/ t 2.0)))
178.0ms
(cbrt (pow (exp t) (/ t 2.0)))
185.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04511249
11760892
25001822

prune323.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1 add-exp-log
35×add-cbrt-cube
31×pow-prod-down prod-exp cbrt-unprod
15×add-sqr-sqrt
13×associate-*r*
12×associate-*l/
11×add-cube-cbrt *-un-lft-identity
7×cbrt-prod sqrt-prod
5×associate-*l*
4×add-log-exp
3×unpow-prod-down flip3-- *-commutative flip--
2×unswap-sqr
1×pow1/3 sqr-pow
Counts
4 → 101
Calls
4 calls:
2.0ms
(cbrt (pow (exp t) (/ t 2.0)))
25.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
14.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series590.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (pow (exp t) (/ t 2.0)))
217.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
55.0ms
(* (- (* x 0.5) y) (sqrt z))
135.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05311608
124061107
250031033

prune304.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes737.0ms

Accuracy

0% (0.3b 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
02320
12320

end0.0ms

sample2.5s

Algorithm
intervals
Results
801.0ms17953×body80valid
764.0ms17853×body80nan