Details

Time bar (total: 13.2s)

sample44.0ms

Algorithm
intervals
Results
17.0ms283×body80valid

simplify15.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.9b
(* (/ (- x y) (- z y)) t)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
39.0ms
(/ (- x y) (- z y))
112.0ms
(* (/ (- x y) (- z y)) t)

series194.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(/ (- x y) (- z y))
124.0ms
(* (/ (- x y) (- z y)) t)

simplify108.0ms

Counts
108 → 108

prune306.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
4.6b
(cbrt (/ (- x y) (- z y)))
4.6b
(cbrt (/ (- x y) (- z y)))
4.6b
(cbrt (/ (- x y) (- z y)))

rewrite710.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt *-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
15×cbrt-div
13×pow1 add-exp-log
12×associate-*l/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times
4×add-log-exp
3×flip3-- pow1/3 associate-*r/ associate-*r* flip-- div-inv
1×associate-*l* *-commutative
Counts
4 → 148
Calls
4 calls:
635.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
17.0ms
(cbrt (/ (- x y) (- z y)))
23.0ms
(cbrt (/ (- x y) (- z y)))
19.0ms
(cbrt (/ (- x y) (- z y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
160.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (cbrt (/ (- x y) (- z y)))) t)
428.0ms
(cbrt (/ (- x y) (- z y)))
446.0ms
(cbrt (/ (- x y) (- z y)))
470.0ms
(cbrt (/ (- x y) (- z y)))

simplify117.0ms

Counts
160 → 160

prune707.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
2.9b
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) t)
4.6b
(cbrt (/ (- x y) (- z y)))
4.6b
(cbrt (/ (- x y) (- z y)))

rewrite996.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt *-un-lft-identity
67×cbrt-prod
50×times-frac
36×cbrt-div
28×add-cube-cbrt
26×associate-*l/
22×pow1 add-exp-log
21×distribute-lft-out-- difference-of-squares
17×frac-times
14×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×associate-*r/
4×associate-/r/ add-log-exp
3×flip3-- pow1/3 associate-*r* flip--
2×div-inv
1×associate-*l* *-commutative
Counts
4 → 137
Calls
4 calls:
4.0ms
(cbrt (- x y))
964.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) t)
11.0ms
(cbrt (/ (- x y) (- z y)))
10.0ms
(cbrt (/ (- x y) (- z y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- x y))
140.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) t)
457.0ms
(cbrt (/ (- x y) (- z y)))
522.0ms
(cbrt (/ (- x y) (- z y)))

simplify91.0ms

Counts
149 → 149

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
2.9b
(* (* (* (cbrt (/ (- x y) (- z y))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) t)
4.6b
(cbrt (/ (- x y) (- z y)))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
85×cbrt-div
58×associate-*l/
49×frac-times
42×add-sqr-sqrt *-un-lft-identity
41×cbrt-prod
33×pow1 add-exp-log
31×associate-*r/
25×times-frac
22×pow-prod-down prod-exp cbrt-unprod
19×add-cbrt-cube
18×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
4×add-log-exp
3×flip3-- pow1/3 associate-*r* flip--
2×associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 134
Calls
4 calls:
6.0ms
(cbrt (- x y))
6.0ms
(cbrt (- x y))
2.2s
(* (* (* (cbrt (/ (- x y) (- z y))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) t)
20.0ms
(cbrt (/ (- x y) (- z y)))

series935.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt (- x y))
152.0ms
(cbrt (- x y))
137.0ms
(* (* (* (cbrt (/ (- x y) (- z y))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) (* (cbrt (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (- z y)) (cbrt (- z y))))) (cbrt (/ (cbrt (- x y)) (cbrt (- z y)))))) t)
427.0ms
(cbrt (/ (- x y) (- z y)))

simplify135.0ms

Counts
146 → 146

prune768.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes337.0ms

Accuracy

-441.3% (11.5b remaining)

Error of 11.6b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify170.0ms

end0.0ms

sample995.0ms

Algorithm
intervals
Results
412.0ms8743×body80valid