Details

Time bar (total: 10.9s)

sample21.0ms

Algorithm
intervals
Results
8.0ms316×body80valid

simplify1.1s

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.0b
(/ (* x (- y z)) y)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
52.0ms
(* x (- y z))
32.0ms
(/ (* x (- y z)) y)

series133.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (- y z))
88.0ms
(/ (* x (- y z)) y)

simplify517.0ms

Counts
55 → 55

prune166.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
1.7b
(* x (/ (- y z) y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
19.0ms
(/ (- y z) y)
37.0ms
(* x (/ (- y z) y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- y z) y)
75.0ms
(* x (/ (- y z) y))

simplify607.0ms

Counts
82 → 82

prune178.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
31×add-sqr-sqrt
29×*-un-lft-identity
15×add-cube-cbrt
12×cbrt-div
11×pow1
10×swap-sqr
9×pow1/3
8×associate-*r* associate-*l*
6×add-exp-log flip3-- flip-- distribute-lft-out--
4×frac-times add-cbrt-cube add-log-exp difference-of-squares unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
62.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

series967.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt y)
238.0ms
(cbrt y)
287.0ms
(cbrt y)
170.0ms
(* (cbrt (- y z)) (cbrt (- y z)))

simplify1.2s

Counts
101 → 101

prune313.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt (cbrt y))
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))
0.6b
(cbrt (* (cbrt y) (cbrt y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod
31×add-sqr-sqrt
29×*-un-lft-identity
15×add-cube-cbrt
12×cbrt-div
11×pow1
10×swap-sqr
9×pow1/3
8×associate-*r* associate-*l*
6×add-exp-log flip3-- flip-- distribute-lft-out--
4×frac-times add-cbrt-cube add-log-exp difference-of-squares unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
2.0ms
(cbrt y)
3.0ms
(cbrt (cbrt y))
48.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
6.0ms
(cbrt (* (cbrt y) (cbrt y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt y)
367.0ms
(cbrt (cbrt y))
170.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
421.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify1.5s

Counts
102 → 102

prune359.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

-1072.3% (12.2b remaining)

Error of 12.2b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.1s

end0.0ms

sample770.0ms

Algorithm
intervals
Results
366.0ms9681×body80valid