Details

Time bar (total: 19.7s)

sample40.0ms

Algorithm
intervals
Results
27.0ms321×body80valid

simplify149.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize29.0ms

Local error

Found 3 expressions with local error:

2.8b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/ insert-posit16
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 82
Calls
3 calls:
Slowest
39.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
26.0ms
(/ (+ x 4) y)
10.0ms
(* (/ x y) z)

series129.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
44.0ms
(* (/ x y) z)
30.0ms
(/ (+ x 4) y)

simplify1.2s

Counts
91 → 91

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ x y) (* (cbrt z) (cbrt z)))
1.1b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×add-sqr-sqrt pow1
17×prod-exp cbrt-unprod
15×*-un-lft-identity add-cube-cbrt
14×associate-*l*
10×times-frac
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 90
Calls
4 calls:
Slowest
103.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
47.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series730.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
264.0ms
(cbrt z)
262.0ms
(cbrt z)
151.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
53.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))

simplify1.8s

Counts
102 → 102

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ x y) (* (cbrt z) (cbrt z)))
0.8b
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
0.6b
(cbrt (* (cbrt z) (cbrt z)))
0.6b
(cbrt (cbrt z))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
21×add-cbrt-cube
18×pow1
17×add-sqr-sqrt prod-exp cbrt-unprod
14×*-un-lft-identity associate-*l* add-cube-cbrt
11×cbrt-prod
10×times-frac
9×pow-prod-down
5×associate-*r*
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×associate-*l/
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 89
Calls
4 calls:
Slowest
66.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
29.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))
4.0ms
(cbrt (* (cbrt z) (cbrt z)))
1.0ms
(cbrt (cbrt z))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
481.0ms
(cbrt (* (cbrt z) (cbrt z)))
458.0ms
(cbrt (cbrt z))
280.0ms
(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt (* (cbrt z) (cbrt z))))
115.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify2.8s

Counts
101 → 101

prune1.6s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt z) (cbrt z))))
1.1b
(* (/ x (cbrt y)) (* (cbrt z) (cbrt z)))
1.1b
(* (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt z) (cbrt z)))) (cbrt z))
0.6b
(cbrt z)

rewrite479.0ms

Algorithm
rewrite-expression-head
Rules
355×add-exp-log
226×prod-exp
98×cbrt-unprod
93×add-cbrt-cube
70×div-exp
34×cbrt-undiv
32×pow1
30×associate-*l*
27×add-sqr-sqrt
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×rec-exp 1-exp
19×pow-prod-down
16×cbrt-prod
10×associate-*l/
8×associate-*r*
4×insert-posit16 add-log-exp
3×*-commutative unswap-sqr
2×frac-times associate-*r/ div-inv
1×pow1/3
Counts
4 → 206
Calls
4 calls:
Slowest
322.0ms
(* (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt z) (cbrt z)))) (cbrt z))
119.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt z) (cbrt z))))
32.0ms
(* (/ x (cbrt y)) (* (cbrt z) (cbrt z)))
1.0ms
(cbrt z)

series541.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
276.0ms
(cbrt z)
121.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt z) (cbrt z))))
107.0ms
(* (/ x (cbrt y)) (* (cbrt z) (cbrt z)))
37.0ms
(* (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (* (cbrt z) (cbrt z)))) (cbrt z))

simplify1.4s

Counts
218 → 218

prune2.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes438.0ms

Accuracy

89.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch119.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s10092×body80valid