Details

Time bar (total: 9.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms456×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2126
3216
4486
51216
63406
713286
done50016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (exp (* y y)))
0.0b
(exp (* y y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×add-exp-log associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u
1×exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
2 → 32
Calls
2 calls:
4.0ms
(* x (exp (* y y)))
2.0ms
(exp (* y y))

series55.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (exp (* y y)))
13.0ms
(exp (* y y))

simplify694.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
048269
195260
2287228
31011228
done5000228

prune96.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (pow (exp y) y))
0.0b
(pow (exp y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down associate-*r*
6×add-exp-log
4×pow-pow add-cbrt-cube
3×pow1 pow-unpow exp-prod associate-*l* prod-exp unswap-sqr sqr-pow
2×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp
1×*-commutative cbrt-unprod
Counts
2 → 49
Calls
2 calls:
7.0ms
(* x (pow (exp y) y))
3.0ms
(pow (exp y) y)

series110.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* x (pow (exp y) y))
44.0ms
(pow (exp y) y)

simplify2.4s

Counts
55 → 55
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
076424
1158393
2551365
32654365
done5000365

prune132.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y))
0.0b
(sqrt (exp y))
0.0b
(sqrt (exp y))
0.0b
(* x (* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
44×unpow-prod-down
39×add-exp-log
28×prod-exp sqrt-prod
21×add-cube-cbrt *-un-lft-identity
17×unswap-sqr
13×associate-*l*
12×pow-to-exp swap-sqr pow-exp sqr-pow
11×associate-*r* add-cbrt-cube
8×pow1 sqrt-pow1
6×exp-prod
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2 pow-prod-down *-commutative
1×pow2 pow-sqr pow-prod-up
Counts
4 → 136
Calls
4 calls:
17.0ms
(* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y))
1.0ms
(sqrt (exp y))
1.0ms
(sqrt (exp y))
21.0ms
(* x (* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y))
13.0ms
(sqrt (exp y))
13.0ms
(sqrt (exp y))
89.0ms
(* x (* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y)))

simplify741.0ms

Counts
148 → 148
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
01312054
12681524
210691403
done50001403

prune321.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))
0.0b
(* x (* (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y))) (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))))
0.0b
(sqrt (sqrt (exp y)))
0.0b
(sqrt (sqrt (exp y)))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
75×add-exp-log
68×add-sqr-sqrt
60×prod-exp
42×unpow-prod-down
26×unswap-sqr
24×add-cbrt-cube
20×sqrt-pow1
19×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r* cbrt-unprod
13×pow1
12×sqr-pow
9×pow-to-exp pow-exp
6×exp-prod
4×expm1-log1p-u rem-sqrt-square pow1/2 log1p-expm1-u add-log-exp
3×pow-prod-down
2×swap-sqr *-commutative
Counts
4 → 154
Calls
4 calls:
23.0ms
(* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))
133.0ms
(* x (* (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y))) (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))))
2.0ms
(sqrt (sqrt (exp y)))
2.0ms
(sqrt (sqrt (exp y)))

series502.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))
183.0ms
(* x (* (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y))) (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))))
95.0ms
(sqrt (sqrt (exp y)))
94.0ms
(sqrt (sqrt (exp y)))

simplify927.0ms

Counts
166 → 166
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01933442
14362588
217112306
done50012306

prune469.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01129
11329
done1329

end0.0ms

sample586.0ms

Algorithm
intervals
Results
322.0ms15933×body80valid