Details

Time bar (total: 16.4s)

sample33.0ms

Algorithm
intervals
Results
13.0ms288×body80valid

simplify765.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
3.0b
(* (/ (- x y) (- z y)) t)

rewrite122.0ms

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:
24.0ms
(/ (- x y) (- z y))
93.0ms
(* (/ (- x y) (- z y)) t)

series207.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (- x y) (- z y))
136.0ms
(* (/ (- x y) (- z y)) t)

simplify1.9s

Counts
108 → 108

prune317.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
7.5b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
45×prod-exp
38×cbrt-prod
36×add-sqr-sqrt
34×*-un-lft-identity
31×add-cbrt-cube
28×cbrt-div
23×associate-*l*
19×div-exp cbrt-unprod
16×pow1 add-cube-cbrt
14×flip3-- flip--
10×swap-sqr
9×cbrt-undiv frac-times associate-*r*
8×pow1/3 associate-/r/ distribute-lft-out--
7×associate-*l/
6×rec-exp 1-exp difference-of-squares
5×associate-*r/ pow-prod-down
4×add-log-exp unswap-sqr
3×times-frac
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 145
Calls
4 calls:
9.0ms
(cbrt (- z y))
8.0ms
(cbrt (- z y))
78.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
235.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series813.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt (- z y))
180.0ms
(cbrt (- z y))
224.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
209.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify1.2s

Counts
157 → 157

prune531.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
3.7b
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t)))
3.9b
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
56×cbrt-prod
54×*-un-lft-identity
52×associate-*l*
48×cbrt-div
32×pow1
31×add-exp-log
30×sqrt-prod
26×add-cube-cbrt
25×add-cbrt-cube
24×flip3-- flip--
22×frac-times
20×swap-sqr
18×associate-*r* associate-*l/
16×prod-exp associate-/r/ cbrt-unprod
14×associate-*r/
13×pow-prod-down
12×pow1/3 distribute-lft-out--
10×sqrt-div
8×difference-of-squares unswap-sqr
6×times-frac
4×pow-sqr *-commutative pow-prod-up add-log-exp
2×cbrt-undiv pow2 pow-plus div-exp div-inv
Counts
4 → 195
Calls
4 calls:
75.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
66.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
744.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t)))
291.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t))

series718.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
180.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
220.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t)))
166.0ms
(* (sqrt (/ 1 (* (cbrt (- z y)) (cbrt (- z y))))) (* (/ (- x y) (cbrt (- z y))) t))

simplify1.1s

Counts
207 → 207

prune860.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
0.6b
(cbrt (* (cbrt (- z y)) (cbrt (- z y))))
7.5b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (* (cbrt (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (cbrt (- z y))))) t))

rewrite572.0ms

Algorithm
rewrite-expression-head
Rules
126×add-exp-log
70×prod-exp
57×cbrt-prod
56×cbrt-div
54×add-sqr-sqrt
50×*-un-lft-identity
44×add-cbrt-cube
31×associate-*l*
30×div-exp cbrt-unprod
24×flip3-- flip--
23×pow1
22×add-cube-cbrt
20×swap-sqr
17×frac-times associate-*r*
14×cbrt-undiv
13×pow1/3
12×distribute-lft-out--
11×associate-*l/
9×associate-*r/
8×rec-exp 1-exp associate-/r/ difference-of-squares unswap-sqr
7×pow-prod-down
4×pow-sqr pow-prod-up add-log-exp
3×times-frac *-commutative
2×pow2 pow-plus
1×div-inv
Counts
4 → 198
Calls
4 calls:
48.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
60.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
25.0ms
(cbrt (* (cbrt (- z y)) (cbrt (- z y))))
426.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (* (cbrt (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (cbrt (- z y))))) t))

series621.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
146.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
141.0ms
(cbrt (* (cbrt (- z y)) (cbrt (- z y))))
178.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (* (cbrt (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (cbrt (- z y))))) t))

simplify1.2s

Counts
210 → 210

prune667.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes325.0ms

Accuracy

-374.8% (10.7b remaining)

Error of 10.7b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.5s

end0.0ms

sample1.3s

Algorithm
intervals
Results
389.0ms8730×body80valid