Details

Time bar (total: 25.5s)

sample25.0ms

Algorithm
intervals
Results
13.0ms523×body80valid

simplify6.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2126
3216
4476
51276
63426
711136
844506
done50006

prune3.0ms

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)))

rewrite28.0ms

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×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
27.0ms
(* x (exp (* y y)))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* x (exp (* y y)))

simplify3.1s

Counts
23 → 23
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
037188
175184
2158159
3300159
4893159
53242159
done5000159

prune60.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite99.0ms

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×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
3.0ms
(sqrt (exp (* y y)))
7.0ms
(sqrt (exp (* y y)))
23.0ms
(* x (sqrt (exp (* y y))))
63.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(sqrt (exp (* y y)))
31.0ms
(sqrt (exp (* y y)))
60.0ms
(* x (sqrt (exp (* y y))))
43.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify2.9s

Counts
93 → 93
Iterations

Useful iterations: done (2.9s)

IterNodesCost
080962
1168739
2434669
3887666
42449663
done5000661

prune217.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×associate-*r*
7×pow-prod-down prod-exp cbrt-unprod
6×cbrt-prod
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×sqrt-prod
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 72
Calls
4 calls:
7.0ms
(* (fabs (cbrt (exp (* y y)))) x)
108.0ms
(* (* (* (fabs (cbrt (exp (* y y)))) x) (sqrt (cbrt (exp (* y y))))) (sqrt (exp (* y y))))
4.0ms
(cbrt (exp (* y y)))
4.0ms
(cbrt (exp (* y y)))

series454.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (fabs (cbrt (exp (* y y)))) x)
160.0ms
(* (* (* (fabs (cbrt (exp (* y y)))) x) (sqrt (cbrt (exp (* y y))))) (sqrt (exp (* y y))))
150.0ms
(cbrt (exp (* y y)))
114.0ms
(cbrt (exp (* y y)))

simplify5.1s

Counts
84 → 84
Iterations

Useful iterations: done (5.1s)

IterNodesCost
01121325
12531229
29701048
347591034
done50001030

prune338.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (pow (sqrt (cbrt (exp (* y y)))) (+ 4 1)) x) (sqrt (cbrt (exp (* y y)))))
0.0b
(cbrt (exp (* y y)))
0.0b
(cbrt (exp (* y y)))
0.0b
(pow (sqrt (cbrt (exp (* y y)))) (+ 4 1))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log *-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×cbrt-prod sqrt-prod
9×unpow-prod-down associate-*r* add-cbrt-cube
8×pow1
7×prod-exp
4×expm1-log1p-u pow-unpow pow-pow log1p-expm1-u add-log-exp
3×pow1/3 cbrt-unprod
2×pow-to-exp sqrt-pow1 pow-exp
1×unpow-prod-up pow1/2 associate-*l* pow-prod-down *-commutative sqrt-pow2 distribute-lft-out sqr-pow
Counts
4 → 84
Calls
4 calls:
88.0ms
(* (* (pow (sqrt (cbrt (exp (* y y)))) (+ 4 1)) x) (sqrt (cbrt (exp (* y y)))))
4.0ms
(cbrt (exp (* y y)))
3.0ms
(cbrt (exp (* y y)))
11.0ms
(pow (sqrt (cbrt (exp (* y y)))) (+ 4 1))

series502.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* (pow (sqrt (cbrt (exp (* y y)))) (+ 4 1)) x) (sqrt (cbrt (exp (* y y)))))
138.0ms
(cbrt (exp (* y y)))
135.0ms
(cbrt (exp (* y y)))
176.0ms
(pow (sqrt (cbrt (exp (* y y)))) (+ 4 1))

simplify3.6s

Counts
96 → 96
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01291441
13201171
28611071
33438874
done5001867

prune432.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
done66

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s15905×body80valid