Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms300×body80valid

simplify59.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
14.0b
(/ (* x (- y z)) y)

rewrite42.0ms

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:
22.0ms
(* x (- y z))
18.0ms
(/ (* x (- y z)) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
55.0ms
(/ (* x (- y z)) y)

simplify33.0ms

Counts
55 → 55

prune93.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.5b
(/ x (/ y (- y z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
12.0ms
(/ y (- y z))
18.0ms
(/ x (/ y (- y z)))

series99.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ y (- y z))
50.0ms
(/ x (/ y (- y z)))

simplify52.0ms

Counts
145 → 145

prune296.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
1.5b
(* x (/ (- y z) y))

rewrite53.0ms

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:
21.0ms
(/ (- y z) y)
29.0ms
(* x (/ (- y z) y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- y z) y)
50.0ms
(* x (/ (- y z) y))

simplify34.0ms

Counts
82 → 82

prune140.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
9.1b
(* (/ 1 (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (- y z))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
168×add-sqr-sqrt
137×*-un-lft-identity
113×associate-*r*
97×add-cube-cbrt
82×add-exp-log
57×cbrt-prod
33×div-exp
31×add-cbrt-cube
30×prod-exp
18×distribute-lft-out-- difference-of-squares
15×cbrt-undiv
12×cbrt-unprod unswap-sqr
7×associate-*l* associate-/r/
6×pow1 rec-exp 1-exp
5×div-inv
4×add-log-exp
3×flip3-- pow1/3 flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 207
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
121.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (- y z))))

series688.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt y)
205.0ms
(cbrt y)
205.0ms
(cbrt y)
80.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (- y z))))

simplify49.0ms

Counts
219 → 219

prune539.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample624.0ms

Algorithm
intervals
Results
314.0ms9617×body80valid