Details

Time bar (total: 34.2s)

sample56.0ms

Algorithm
intervals
Results
39.0ms311×body80valid

simplify379.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
379.0ms
(* x (/ (* (/ y z) t) t))

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 1 expressions with local error:

5.6b
(* x (/ y z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×*-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
Slowest
19.0ms
(* x (/ y z))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(* x (/ y z))

simplify707.0ms

Counts
27 → 38
Calls
27 calls:
Slowest
283.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
101.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
60.0ms
(+ (log x) (log (/ y z)))
48.0ms
(+ (log x) (- (log y) (log z)))
31.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune417.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
28×add-cbrt-cube
26×prod-exp
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×cbrt-unprod
14×div-exp
9×pow1
8×cbrt-undiv
4×expm1-log1p-u 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
Slowest
93.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series993.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
314.0ms
(cbrt y)
304.0ms
(cbrt y)
297.0ms
(cbrt y)
78.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.9s

Counts
68 → 113
Calls
68 calls:
Slowest
949.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
620.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
537.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
487.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
452.0ms
(+ (+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log 1))) (- (log (cbrt y)) (log z)))

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

12.3b
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
12.3b
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
12.3b
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
4.1b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
28×add-cbrt-cube
26×prod-exp
22×associate-*r*
18×times-frac
17×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×cbrt-unprod
14×div-exp
12×cbrt-prod associate-*r/
9×pow1 cbrt-div
8×cbrt-undiv
4×expm1-log1p-u frac-times 1-exp associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
1×associate-*l* *-commutative div-inv
Counts
4 → 104
Calls
4 calls:
Slowest
91.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
75.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
62.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
53.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
157.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
151.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
139.0ms
(cbrt (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z)))
70.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify11.7s

Counts
71 → 116
Calls
71 calls:
Slowest
877.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
722.0ms
(* (* (* (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (* (cbrt y) (cbrt y)) 1))) (* x (/ (* (cbrt y) (cbrt y)) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
707.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
547.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
519.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

5.4b
(/ y (/ z x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 73
Calls
1 calls:
Slowest
6.0ms
(/ y (/ z x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
33.0ms
(/ y (/ z x))

simplify4.1s

Counts
100 → 76
Calls
100 calls:
Slowest
564.0ms
(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt z) (cbrt z)) (* (cbrt x) (cbrt x))))
391.0ms
(/ (* (* y y) y) (* (* (/ z x) (/ z x)) (/ z x)))
232.0ms
(/ (* (cbrt y) (cbrt y)) (/ 1 (* (cbrt x) (cbrt x))))
183.0ms
(/ (* (cbrt y) (cbrt y)) (/ (sqrt z) (* (cbrt x) (cbrt x))))
158.0ms
(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt z) (cbrt z)) 1))

prune810.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes393.0ms

Accuracy

46.2% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.5b

bsearch6.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s9671×body80valid