Details

Time bar (total: 9.6s)

sample29.0ms

Algorithm
intervals
Results
13.0ms393×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0815
11614
23311
3578
4788
5868
done868

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 3 (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
23.0ms
(* 3 (* z z))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* 3 (* z z))

simplify591.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
036174
1101161
2554141
done5000141

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* 3 z) z)

rewrite26.0ms

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:
26.0ms
(* (* 3 z) z)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (* 3 z) z)

simplify610.0ms

Counts
23 → 23
Iterations

Useful iterations: done (609.0ms)

IterNodesCost
038169
1104158
2707138
done5000134

prune43.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt 3) (* z z))
0.3b
(* (sqrt 3) (* (sqrt 3) (* z z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt
7×sqrt-prod
6×add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
2 → 51
Calls
2 calls:
43.0ms
(* (sqrt 3) (* z z))
84.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (sqrt 3) (* z z))
105.0ms
(* (sqrt 3) (* (sqrt 3) (* z z)))

simplify906.0ms

Counts
57 → 57
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
061592
1169454
21048394
done5001378

prune144.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt 3)) (* z z))
0.2b
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
0.3b
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
1.0b
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite471.0ms

Algorithm
rewrite-expression-head
Rules
66×pow1
61×add-exp-log
48×cbrt-prod
46×add-sqr-sqrt
42×pow-prod-down
41×prod-exp cbrt-unprod
37×add-cbrt-cube
27×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r* unswap-sqr
11×swap-sqr
6×pow1/3
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 155
Calls
4 calls:
24.0ms
(* (cbrt (sqrt 3)) (* z z))
95.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
309.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
36.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series534.0ms

Counts
4 → 10
Calls
4 calls:
377.0ms
(* (cbrt (sqrt 3)) (* z z))
62.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z)))
94.0ms
(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* z z))))
0.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify3.8s

Counts
165 → 165
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01492530
14132330
232031588
done50011228

prune480.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
done88

end0.0ms

sample1.3s

Algorithm
intervals
Results
751.0ms12277×body80valid