Details

Time bar (total: 5.9s)

sample63.0ms

Algorithm
intervals
Results
18.0ms266×body80nan
14.0ms273×body80valid

simplify15.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.2b
(* y (sqrt x))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
53.0ms
(+ (- 1.0 x) (* y (sqrt x)))
11.0ms
(* y (sqrt x))

series117.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ (- 1.0 x) (* y (sqrt x)))
68.0ms
(* y (sqrt x))

simplify87.0ms

Counts
43 → 43

prune153.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
3.0ms
(sqrt (sqrt x))
19.0ms
(* y (sqrt (sqrt x)))
71.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(sqrt (sqrt x))
235.0ms
(sqrt (sqrt x))
117.0ms
(* y (sqrt (sqrt x)))
75.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify104.0ms

Counts
100 → 100

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt x) (cbrt x))
228.0ms
(cbrt x)
298.0ms
(cbrt x)
277.0ms
(cbrt x)

simplify52.0ms

Counts
85 → 85

prune555.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt x)) y)
0.3b
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×cbrt-prod
6×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative
1×unswap-sqr
Counts
4 → 64
Calls
4 calls:
9.0ms
(* (fabs (cbrt x)) y)
31.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series618.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (fabs (cbrt x)) y)
150.0ms
(* (* (fabs (cbrt x)) y) (sqrt (cbrt x)))
234.0ms
(cbrt x)
207.0ms
(cbrt x)

simplify80.0ms

Counts
76 → 76

prune474.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
377.0ms8558×body80valid
347.0ms8653×body80nan
0.0ms1×body1280valid
0.0ms1×body320valid