Details

Time bar (total: 3.9s)

sample84.0ms

Algorithm
intervals
Results
25.0ms559×body80valid
23.0ms534×body80nan

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
24217
38417
416217
528617
662517
7178517
done500017

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))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite72.0ms

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×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
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 → 85
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
43.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* t t) 2.0)
220.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
24.0ms
(exp (/ (* t t) 2.0))
130.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify704.0ms

Counts
97 → 97
Iterations

Useful iterations: done (701.0ms)

IterNodesCost
01831294
14691231
216791068
done50001064

prune372.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite61.0ms

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×expm1-log1p-u pow-to-exp exp-prod pow-exp log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 83
Calls
3 calls:
3.0ms
(pow (exp t) (/ t 2.0))
37.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series444.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(pow (exp t) (/ t 2.0))
254.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
127.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify420.0ms

Iterations

Useful iterations: 1 (299.0ms)

IterNodesCost
01921375
15231272