Details

Time bar (total: 9.8s)

sample36.0ms

Algorithm
intervals
Results
16.0ms520×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2126
3216
4486
51346
66776
done50006

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
13.0ms
(* x (exp (* y y)))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* x (exp (* y y)))

simplify1.2s

Counts
21 → 21
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
035174
185171
2351147
32052147
done5001147

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×sqrt-pow1 add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 73
Calls
4 calls:
5.0ms
(sqrt (exp (* y y)))
5.0ms
(sqrt (exp (* y y)))
26.0ms
(* x (sqrt (exp (* y y))))
59.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (exp (* y y)))
29.0ms
(sqrt (exp (* y y)))
60.0ms
(* x (sqrt (exp (* y y))))
41.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify797.0ms

Counts
85 → 85
Iterations

Useful iterations: done (795.0ms)

IterNodesCost
074894
1178801
2965641
done5000616

prune220.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp y) (/ y 2))
0.0b
(sqrt (exp (* y y)))
0.0b
(* x (sqrt (exp (* y y))))
0.0b
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (/ y 2)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log
13×pow-unpow associate-*r*
11×add-cbrt-cube
10×prod-exp
9×times-frac
8×pow1
7×sqrt-prod
6×unpow-prod-down
5×add-log-exp
4×exp-prod pow-pow associate-*l* cbrt-unprod
3×pow-to-exp sqrt-pow1 pow-exp
2×*-commutative unswap-sqr sqr-pow
1×rem-sqrt-square exp-to-pow pow1/2 pow-prod-down div-inv
Counts
4 → 91
Calls
4 calls:
8.0ms
(pow (exp y) (/ y 2))
9.0ms
(sqrt (exp (* y y)))
28.0ms
(* x (sqrt (exp (* y y))))
63.0ms
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (/ y 2)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(pow (exp y) (/ y 2))
23.0ms
(sqrt (exp (* y y)))
55.0ms
(* x (sqrt (exp (* y y))))
135.0ms
(* (* x (sqrt (exp (* y y)))) (pow (exp y) (/ y 2)))

simplify1.3s

Counts
103 → 103
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01381157
13781049
21918964
done5001952

prune399.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp (* y y)))
0.0b
(* (* (pow (sqrt (exp y)) (/ y 2)) (* (sqrt (exp (* y y))) x)) (pow (sqrt (exp y)) (/ y 2)))
0.0b
(* (sqrt (exp (* y y))) x)
0.0b
(* (pow (sqrt (exp y)) (/ y 2)) (* (sqrt (exp (* y y))) x))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
58×prod-exp
20×add-cbrt-cube
19×add-sqr-sqrt
17×associate-*l*
15×pow-to-exp pow-exp
14×add-cube-cbrt *-un-lft-identity associate-*r*
13×sqrt-prod
12×unpow-prod-down
10×cbrt-unprod
7×pow1
5×add-log-exp
3×sqrt-pow1 *-commutative
2×unswap-sqr sqr-pow
1×rem-sqrt-square exp-prod exp-to-pow pow1/2 pow-prod-down
Counts
4 → 107
Calls
4 calls:
4.0ms
(sqrt (exp (* y y)))
163.0ms
(* (* (pow (sqrt (exp y)) (/ y 2)) (* (sqrt (exp (* y y))) x)) (pow (sqrt (exp y)) (/ y 2)))
21.0ms
(* (sqrt (exp (* y y))) x)
72.0ms
(* (pow (sqrt (exp y)) (/ y 2)) (* (sqrt (exp (* y y))) x))

series428.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(sqrt (exp (* y y)))
153.0ms
(* (* (pow (sqrt (exp y)) (/ y 2)) (* (sqrt (exp (* y y))) x)) (pow (sqrt (exp y)) (/ y 2)))
71.0ms
(* (sqrt (exp (* y y))) x)
182.0ms
(* (pow (sqrt (exp y)) (/ y 2)) (* (sqrt (exp (* y y))) x))

simplify1.3s

Counts
119 → 119
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01502264
13682084
218851692
done50001650

prune459.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes111.0ms

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 (0.0ms)

IterNodesCost
01323
11623
done1623

end0.0ms

sample1.2s

Algorithm
intervals
Results
543.0ms15842×body80valid