Details

Time bar (total: 17.9s)

sample28.0ms

Algorithm
intervals
Results
12.0ms353×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
223123
338123
444123
done44123

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
24.0ms
(* x (- 1.0 (* x y)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (- 1.0 (* x y)))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: 3 (549.0ms)

IterNodesCost
0515778
11324893
24164893
318274693
done50104693

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(* (cbrt x) (cbrt x))
315.0ms
(cbrt x)
268.0ms
(cbrt x)
241.0ms
(cbrt x)

simplify5.0s

Counts
85 → 85
Iterations

Useful iterations: 3 (356.0ms)

IterNodesCost
06117134
113614621
237714346
3103413666
4373513666
done500713666

prune382.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x y)))
0.0b
(sqrt (- 1.0 (* x y)))
0.1b
(* x (sqrt (- 1.0 (* x y))))
0.1b
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(sqrt (- 1.0 (* x y)))
8.0ms
(sqrt (- 1.0 (* x y)))
24.0ms
(* x (sqrt (- 1.0 (* x y))))
49.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(sqrt (- 1.0 (* x y)))
96.0ms
(sqrt (- 1.0 (* x y)))
186.0ms
(* x (sqrt (- 1.0 (* x y))))
60.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

simplify1.9s

Counts
95 → 95
Iterations

Useful iterations: done (1.9s)

IterNodesCost
013431770
136323723
2136023079
done500022799

prune455.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (- 1.0 (* x y)))) (* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y))))))
0.1b
(* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y)))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
16×add-sqr-sqrt associate-*r/
14×sqrt-div
12×cbrt-div
10×cbrt-prod *-un-lft-identity associate-*r* add-cube-cbrt
9×flip3-- pow-prod-down prod-exp cbrt-unprod flip--
8×sqrt-prod
4×frac-times associate-*l* add-log-exp
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 84
Calls
4 calls:
75.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y))))))
18.0ms
(* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y)))))
2.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))

series1.4s

Counts
4 → 12
Calls
4 calls:
380.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y))))))
413.0ms
(* (fabs (cbrt (- 1.0 (* x y)))) (sqrt (cbrt (- 1.0 (* x y)))))
272.0ms
(cbrt (- 1.0 (* x y)))
334.0ms
(cbrt (- 1.0 (* x y)))

simplify3.0s

Counts
96 → 96
Iterations

Useful iterations: done (3.0s)

IterNodesCost
024754365
170144581
2268644422
done504444061

prune655.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
18123
done8123

end0.0ms

sample774.0ms

Algorithm
intervals
Results
406.0ms10638×body80valid