Details

Time bar (total: 14.8s)

sample31.0ms

Algorithm
intervals
Results
19.0ms305×body80valid

simplify403.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.1b

localize13.0ms

Local error

Found 1 expressions with local error:

6.1b
(* x (/ y z))

rewrite18.0ms

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))

series38.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
38.0ms
(* x (/ y z))

simplify800.0ms

Counts
27 → 38
Calls
27 calls:
Slowest
298.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
155.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
57.0ms
(+ (log x) (log (/ y z)))
42.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))
35.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune400.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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
350.0ms
(cbrt y)
323.0ms
(cbrt y)
297.0ms
(cbrt y)
124.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify5.3s

Counts
44 → 87
Calls
44 calls:
Slowest
531.0ms
(* (* (* 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)))))
493.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
428.0ms
(+ (log x) (- (+ (log (cbrt y)) (log (cbrt y))) (log (* (cbrt z) (cbrt z)))))
413.0ms
(+ (log x) (- (log (* (cbrt y) (cbrt y))) (+ (log (cbrt z)) (log (cbrt z)))))
356.0ms
(+ (log x) (- (log (* (cbrt y) (cbrt y))) (log (* (cbrt z) (cbrt z)))))

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.8b
(/ (* x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
24.0ms
(/ (* x y) z)

series49.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
49.0ms
(/ (* x y) z)

simplify835.0ms

Counts
15 → 27
Calls
15 calls:
Slowest
560.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
139.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
32.0ms
(- (+ (log x) (log y)) (log z))
31.0ms
(- (log (* x y)) (log z))
17.0ms
(/ (* x y) z)

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (* x y) (/ 1 z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×add-cbrt-cube associate-*r*
12×prod-exp
9×times-frac
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*l* associate-*r/ un-div-inv *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 41
Calls
1 calls:
Slowest
34.0ms
(* (* x y) (/ 1 z))

series45.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
45.0ms
(* (* x y) (/ 1 z))

simplify2.2s

Counts
30 → 44
Calls
30 calls:
Slowest
751.0ms
(* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
196.0ms
(* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* z z) z)))
179.0ms
(* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* z z) z)))
123.0ms
(* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
99.0ms
(+ (+ (log x) (log y)) (- (log 1) (log z)))

prune428.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes299.0ms

Accuracy

88.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 6.3b

bsearch5.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s9570×body80valid