Details

Time bar (total: 22.0s)

sample32.0ms

Algorithm
intervals
Results
20.0ms313×body80valid

simplify497.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
497.0ms
(* x (/ (* (/ y z) t) t))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize13.0ms

Local error

Found 1 expressions with local error:

5.0b
(* 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))

series33.0ms

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

simplify756.0ms

Counts
27 → 38
Calls
27 calls:
Slowest
237.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
162.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
59.0ms
(+ (log x) (log (/ y z)))
52.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))
46.0ms
(+ (log x) (- (log y) (log z)))

prune367.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.5b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite74.0ms

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
61.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
6.0ms
(cbrt y)
2.0ms
(cbrt y)
1.0ms
(cbrt y)

series987.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
315.0ms
(cbrt y)
313.0ms
(cbrt y)
289.0ms
(cbrt y)
70.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify9.3s

Counts
68 → 113
Calls
68 calls:
Slowest
863.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
613.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
584.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
555.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
527.0ms
(+ (+ (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: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (* x y) z)

rewrite17.0ms

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
17.0ms
(/ (* x y) z)

series26.0ms

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

simplify560.0ms

Counts
15 → 27
Calls
15 calls:
Slowest
195.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
176.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
55.0ms
(- (+ (log x) (log y)) (log z))
34.0ms
(- (log (* x y)) (log z))
24.0ms
(/ (* x y) z)

prune271.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ x (/ z y))

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
(/ x (/ z y))

series50.0ms

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

simplify4.6s

Counts
100 → 76
Calls
100 calls:
Slowest
507.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
410.0ms
(/ (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
278.0ms
(/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y))))
197.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1))
165.0ms
(/ 1 (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

prune719.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

0.1% (5.9b remaining)

Error of 5.9b against oracle of 0.0b and baseline of 5.9b

bsearch122.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s9531×body80valid