Details

Time bar (total: 28.4s)

sample30.0ms

Algorithm
intervals
Results
21.0ms306×body80valid

simplify430.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
430.0ms
(* x (/ (* (/ y z) t) t))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize14.0ms

Local error

Found 1 expressions with local error:

6.6b
(* x (/ y z))

rewrite13.0ms

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
12.0ms
(* x (/ y z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
25.0ms
(* x (/ y z))

simplify651.0ms

Counts
27 → 38
Calls
27 calls:
Slowest
253.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
93.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
50.0ms
(+ (log x) (- (log y) (log z)))
42.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))
33.0ms
(+ (log x) (log (/ y z)))

prune428.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

2.1b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
6×pow1
5×associate-*r*
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×pow-prod-down associate-*r/ *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
Slowest
35.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
384.0ms
(cbrt y)
315.0ms
(cbrt y)
288.0ms
(cbrt y)
149.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify5.0s

Counts
44 → 87
Calls
44 calls:
Slowest
480.0ms
(* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* (* (cbrt z) (cbrt z)) (* (cbrt z) (cbrt z))) (* (cbrt z) (cbrt z)))))
427.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
419.0ms
(+ (log x) (- (log (* (cbrt y) (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
344.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt z) (cbrt z)))))
334.0ms
(* (exp (* 1/3 (- (* 2 (log y)) (* 2 (log z))))) x)

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
4×expm1-log1p-u pow1 prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/r/ associate-/l*
1×frac-times clear-num associate-/r* frac-2neg associate-*l/ associate-*r/ div-inv
Counts
4 → 75
Calls
4 calls:
Slowest
12.0ms
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
308.0ms
(cbrt y)
307.0ms
(cbrt y)
291.0ms
(cbrt y)
125.0ms
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))

simplify4.2s

Counts
43 → 87
Calls
43 calls:
Slowest
468.0ms
(/ (* (* x x) x) (* (/ z y) (/ z y)))
357.0ms
(- (log x) (+ (- (log (cbrt z)) (log (cbrt y))) (log (/ (cbrt z) (cbrt y)))))
352.0ms
(- (log x) (+ (- (log (cbrt z)) (log (cbrt y))) (- (log (cbrt z)) (log (cbrt y)))))
328.0ms
(* (exp (* 1/3 (- (* 2 (log y)) (* 2 (log z))))) x)
288.0ms
(- (log x) (+ (log (/ (cbrt z) (cbrt y))) (log (/ (cbrt z) (cbrt y)))))

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

8.4b
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
8.4b
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
8.4b
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
2.4b
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity times-frac associate-/r/ add-cube-cbrt
9×cbrt-undiv div-exp
4×expm1-log1p-u frac-times pow1 associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×clear-num associate-/r* frac-2neg
Counts
4 → 99
Calls
4 calls:
Slowest
24.0ms
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
11.0ms
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))
7.0ms
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
7.0ms
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
236.0ms
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
227.0ms
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
222.0ms
(cbrt (/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y)))))
116.0ms
(/ x (* (/ (cbrt z) (cbrt y)) (/ (cbrt z) (cbrt y))))

simplify8.3s

Counts
67 → 111
Calls
67 calls:
Slowest
623.0ms
(* (exp (* 1/3 (- (* 2 (log (/ -1 z))) (* 2 (log (/ -1 y)))))) x)
487.0ms
(/ (* (* x x) x) (* (/ z y) (/ z y)))
409.0ms
(- (log x) (+ (- (log (cbrt z)) (log (cbrt y))) (- (log (cbrt z)) (log (cbrt y)))))
395.0ms
(* (pow (* x -1) 1/3) (* (cbrt -1) (exp (* 1/9 (- (* 2 (log (/ -1 z))) (* 2 (log (/ -1 y))))))))
362.0ms
(* (pow (* x -1) 1/3) (* (cbrt -1) (exp (* 1/9 (- (* 2 (log (/ -1 z))) (* 2 (log (/ -1 y))))))))

prune1.9s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes394.0ms

Accuracy

15.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch6.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s9625×body80valid