Details

Time bar (total: 1.4m)

sample55.0ms

Algorithm
intervals
Results
39.0ms309×body80valid

simplify403.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
403.0ms
(* x (/ (* (/ y z) t) t))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize13.0ms

Local error

Found 1 expressions with local error:

5.7b
(* x (/ y z))

rewrite19.0ms

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
17.0ms
(* x (/ y z))

series26.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
26.0ms
(* x (/ y z))

simplify646.0ms

Counts
27 → 38
Calls
27 calls:
Slowest
221.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
137.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
45.0ms
(+ (log x) (log (/ y z)))
42.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))
31.0ms
(+ (log x) (- (log y) (log z)))

prune384.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
36×prod-exp
28×add-cbrt-cube
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×div-exp cbrt-unprod
9×pow1
8×cbrt-undiv
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
2×frac-times associate-*l/ un-div-inv
1×associate-*l* *-commutative div-inv
Counts
4 → 107
Calls
4 calls:
Slowest
85.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series942.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
293.0ms
(cbrt z)
284.0ms
(cbrt z)
276.0ms
(cbrt z)
89.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))

simplify9.9s

Counts
76 → 119
Calls
76 calls:
Slowest
546.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
536.0ms
(+ (+ (log x) (- (log 1) (log (* (cbrt z) (cbrt z))))) (- (log y) (log (cbrt z))))
505.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ y (cbrt z)))
496.0ms
(+ (+ (log x) (- 0 (+ (log (cbrt z)) (log (cbrt z))))) (log (/ y (cbrt z))))
485.0ms
(+ (+ (log x) (- 0 (log (* (cbrt z) (cbrt z))))) (log (/ y (cbrt z))))

prune1.4s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))
1.7b
(* (* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (cbrt y) (cbrt (cbrt z))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite639.0ms

Algorithm
rewrite-expression-head
Rules
405×add-exp-log
236×prod-exp
115×add-cbrt-cube
110×cbrt-unprod
109×div-exp
88×cbrt-prod
66×associate-*r*
58×times-frac
55×cbrt-undiv
45×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×pow1 rec-exp 1-exp
11×frac-times associate-*l/
10×associate-*r/
9×pow-prod-down
6×un-div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 associate-*l* *-commutative div-inv
Counts
4 → 251
Calls
4 calls:
Slowest
489.0ms
(* (* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (cbrt y) (cbrt (cbrt z))))
133.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))
2.0ms
(cbrt y)
1.0ms
(cbrt y)

series976.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
325.0ms
(cbrt y)
305.0ms
(cbrt y)
295.0ms
(* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))
50.0ms
(* (* (* x (/ 1 (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (cbrt y) (cbrt (cbrt z))))

simplify52.0s

Counts
225 → 263
Calls
225 calls:
Slowest
1.0s
(* (* (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z))))) (* (* (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))) (/ y (cbrt z)))
926.0ms
(* (* (* (* (* x x) x) (* (* (/ 1 (* (cbrt z) (cbrt z))) (/ 1 (* (cbrt z) (cbrt z)))) (/ 1 (* (cbrt z) (cbrt z))))) (* (* (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z))))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))) (* (* (/ (cbrt y) (cbrt (cbrt z))) (/ (cbrt y) (cbrt (cbrt z)))) (/ (cbrt y) (cbrt (cbrt z)))))
903.0ms
(* (* (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z))))) (/ (* y y) (* (cbrt z) (cbrt z)))) (* (* (/ (cbrt y) (cbrt (cbrt z))) (/ (cbrt y) (cbrt (cbrt z)))) (/ (cbrt y) (cbrt (cbrt z)))))
900.0ms
(* (* (* (* (* x (/ 1 (* (cbrt z) (cbrt z)))) (* x (/ 1 (* (cbrt z) (cbrt z))))) (* x (/ 1 (* (cbrt z) (cbrt z))))) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (cbrt z) (cbrt z)))) (* (* (/ (cbrt y) (cbrt (cbrt z))) (/ (cbrt y) (cbrt (cbrt z)))) (/ (cbrt y) (cbrt (cbrt z)))))
896.0ms
(+ (+ (+ (log x) (- (log (* (cbrt z) (cbrt z))))) (log (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt z) (cbrt z)))))) (- (log (cbrt y)) (log (cbrt (cbrt z)))))

prune4.0s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

5.5b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite60.0ms

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
53.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series934.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
325.0ms
(cbrt y)
287.0ms
(cbrt y)
262.0ms
(cbrt y)
60.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.6s

Counts
68 → 113
Calls
68 calls:
Slowest
697.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
657.0ms
(* (* (* (* 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)))
603.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
491.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
485.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes312.0ms

Accuracy

84.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 5.4b

bsearch5.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s9578×body80valid