Details

Time bar (total: 26.3s)

sample28.0ms

Algorithm
intervals
Results
13.0ms523×body80valid

simplify7.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2126
3216
4476
51276
63426
711136
844506
done50006

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:
22.0ms
(* x (exp (* y y)))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (exp (* y y)))

simplify3.7s

Counts
23 → 23
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
037188
175184
2158159
3300159
4893159
53242159
done5000159

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))))

rewrite76.0ms

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:
6.0ms
(sqrt (exp (* y y)))
4.0ms
(sqrt (exp (* y y)))
21.0ms
(* x (sqrt (exp (* y y))))
42.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(sqrt (exp (* y y)))
22.0ms
(sqrt (exp (* y y)))
59.0ms
(* x (sqrt (exp (* y y))))
48.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify3.4s

Counts
93 → 93
Iterations

Useful iterations: done (3.4s)

IterNodesCost
080962
1168739
2434669
3887666
42449663
done5000661

prune194.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite98.0ms

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)
83.0ms
(* (* (* (fabs (cbrt (exp (* y y)))) x) (sqrt (cbrt (exp (* y y))))) (sqrt (exp (* y y))))
2.0ms
(cbrt (exp (* y y)))
3.0ms
(cbrt (exp (* y y)))

series500.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (fabs (cbrt (exp (* y y)))) x)
194.0ms
(* (* (* (fabs (cbrt (exp (* y y)))) x) (sqrt (cbrt (exp (* y y))))) (sqrt (exp (* y y))))
139.0ms
(cbrt (exp (* y y)))
131.0ms
(cbrt (exp (* y y)))

simplify4.5s

Counts
84 → 84
Iterations

Useful iterations: done (4.5s)

IterNodesCost
01121325
12531229
29701048
347591034
done50001030

prune372.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite78.0ms

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:
60.0ms
(* (* (pow (sqrt (cbrt (exp (* y y)))) (+ 4 1)) x) (sqrt (cbrt (exp (* y y)))))
2.0ms
(cbrt (exp (* y y)))
2.0ms
(cbrt (exp (* y y)))
11.0ms
(pow (sqrt (cbrt (exp (* y y)))) (+ 4 1))

series503.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (pow (sqrt (cbrt (exp (* y y)))) (+ 4 1)) x) (sqrt (cbrt (exp (* y y)))))
128.0ms
(cbrt (exp (* y y)))
136.0ms
(cbrt (exp (* y y)))
192.0ms
(pow (sqrt (cbrt (exp (* y y)))) (+ 4 1))

simplify3.7s

Counts
96 → 96
Iterations

Useful iterations: done (3.7s)

IterNodesCost
01291441
13201171
28611071
33438874
done5001867

prune363.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes92.0ms

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
056
166
done66

end0.0ms

sample1.2s

Algorithm
intervals
Results
614.0ms15905×body80valid