Details

Time bar (total: 17.4s)

sample16.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
21.0ms
(* (* x 3.0) x)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (* x 3.0) x)

simplify4.5s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
039169
194164
2314134
3654134
4983133
52724133
done5001133

prune63.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3.0 (pow x 2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×associate-*r*
6×add-exp-log
4×add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
3×associate-*l* prod-exp add-cbrt-cube
2×unpow2 sqr-pow
1×pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
20.0ms
(* 3.0 (pow x 2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* 3.0 (pow x 2))

simplify4.1s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
053244
1109221
2237188
3672188
43356185
done5001185

prune115.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (pow x 2))
0.4b
(* (sqrt (* 3.0 (pow x 2))) (sqrt (* 3.0 (pow x 2))))
17.9b
(sqrt (* 3.0 (pow x 2)))
17.9b
(sqrt (* 3.0 (pow x 2)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
19×add-sqr-sqrt
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×add-cbrt-cube
7×associate-*l*
6×sqrt-prod
5×pow-prod-up unswap-sqr
4×expm1-log1p-u unpow-prod-down swap-sqr prod-exp log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×*-commutative cbrt-unprod unpow2 sqr-pow
1×pow2 pow-to-exp pow-plus sqrt-unprod pow-exp rem-square-sqrt
Counts
4 → 93
Calls
4 calls:
13.0ms
(* 3.0 (pow x 2))
57.0ms
(* (sqrt (* 3.0 (pow x 2))) (sqrt (* 3.0 (pow x 2))))
11.0ms
(sqrt (* 3.0 (pow x 2)))
11.0ms
(sqrt (* 3.0 (pow x 2)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 3.0 (pow x 2))
79.0ms
(* (sqrt (* 3.0 (pow x 2))) (sqrt (* 3.0 (pow x 2))))
39.0ms
(sqrt (* 3.0 (pow x 2)))
53.0ms
(sqrt (* 3.0 (pow x 2)))

simplify2.8s

Counts
105 → 105
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01001030
1180725
2473642
31924624
done5001613

prune375.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 3.0) x)
0.4b
(* (sqrt 3.0) x)
17.9b
(sqrt (* (* (sqrt 3.0) x) (* (sqrt 3.0) x)))
17.9b
(sqrt (* 3.0 (pow x 2)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
49×pow1
19×pow-prod-down
18×add-sqr-sqrt
17×sqrt-pow1
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity sqrt-prod
8×add-exp-log add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u add-log-exp unswap-sqr
2×pow-plus pow1/2 prod-exp *-commutative cbrt-unprod
1×pow2 rem-sqrt-square
Counts
4 → 88
Calls
4 calls:
20.0ms
(* (sqrt 3.0) x)
21.0ms
(* (sqrt 3.0) x)
75.0ms
(sqrt (* (* (sqrt 3.0) x) (* (sqrt 3.0) x)))
12.0ms
(sqrt (* 3.0 (pow x 2)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (sqrt 3.0) x)
47.0ms
(* (sqrt 3.0) x)
37.0ms
(sqrt (* (* (sqrt 3.0) x) (* (sqrt 3.0) x)))
53.0ms
(sqrt (* 3.0 (pow x 2)))

simplify3.5s

Counts
100 → 100
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
069661
1110499
2257473
3473473
4622473
5878473
61632473
done5000473

prune415.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample565.0ms

Algorithm
intervals
Results
267.0ms10630×body80valid