Details

Time bar (total: 22.5s)

sample102.0ms

Algorithm
intervals
Results
37.0ms585×body80valid
33.0ms592×body80nan

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
71585
6613
5332
4198
395
242
126
015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

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)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cube-cbrt
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 insert-posit16 log1p-expm1-u
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative div-inv flip--
1×clear-num frac-2neg sqrt-prod associate-/l* unswap-sqr rem-exp-log
Counts
4 → 89
Calls
4 calls:
16.0ms
(/ (* t t) 2.0)
7.0ms
(exp (/ (* t t) 2.0))
105.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
43.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (* t t) 2.0)
29.0ms
(exp (/ (* t t) 2.0))
230.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
150.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5007
21690
1498
0186

prune554.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity add-exp-log add-cube-cbrt
13×pow-unpow
11×associate-*r*
10×add-cbrt-cube prod-exp
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 insert-posit16 log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 86
Calls
3 calls:
9.0ms
(pow (exp t) (/ t 2.0))
125.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
43.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series454.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(pow (exp t) (/ t 2.0))
255.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
147.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.6s

Counts
95 → 95
Iterations
IterNodes
done5001
21685
1548
0194

prune547.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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

rewrite659.0ms

Algorithm
rewrite-expression-head
Rules
59×cbrt-prod
46×add-sqr-sqrt
25×pow1
23×unpow-prod-down
20×*-un-lft-identity add-exp-log add-cube-cbrt
17×unswap-sqr
15×associate-*r*
14×add-cbrt-cube associate-*l*
13×sqr-pow
11×pow-prod-down
10×swap-sqr prod-exp cbrt-unprod
7×pow1/3
6×associate-*l/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-- pow-sqr pow-prod-up flip--
1×pow2 pow-plus sqrt-prod
Counts
4 → 136
Calls
4 calls:
5.0ms
(cbrt (pow (exp t) (/ t 2.0)))
572.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))))
32.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
45.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series967.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (pow (exp t) (/ t 2.0)))
362.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))))
268.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
151.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts
148 → 148
Iterations
IterNodes
done5002
21567
1541
0227

prune946.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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)))))
0.0b
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
49×add-sqr-sqrt
39×pow1
34×add-exp-log
26×add-cbrt-cube
23×associate-*r*
21×*-un-lft-identity pow-prod-down add-cube-cbrt
20×unpow-prod-down prod-exp cbrt-unprod
18×unswap-sqr
15×associate-*l*
12×associate-*l/ sqr-pow
10×swap-sqr
7×sqrt-prod
6×pow1/3
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- flip--
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 153
Calls
4 calls:
299.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))))
45.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
36.0ms
(* (- (* x 0.5) y) (sqrt z))
82.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series894.0ms

Counts
4 → 12
Calls
4 calls:
417.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))))
261.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
65.0ms
(* (- (* x 0.5) y) (sqrt z))
151.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.7s

Counts
165 → 165
Iterations
IterNodes
done5002
21811
1584
0243

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.3s17975×body80valid
2.1s17966×body80nan