Details

Time bar (total: 30.2s)

sample56.0ms

Algorithm
intervals
Results
37.0ms315×body80valid

simplify503.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
503.0ms
(* x (/ (* (/ y z) t) t))

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.4b

localize14.0ms

Local error

Found 1 expressions with local error:

5.2b
(/ (* x y) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
cbrt-undiv div-exp
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
19.0ms
(/ (* x y) z)

series35.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
35.0ms
(/ (* x y) z)

simplify1.4s

Counts
31 → 27
Calls
31 calls:
Slowest
335.0ms
(* (* (/ (* x y) z) (/ (* x y) z)) (/ (* x y) z))
209.0ms
(/ (* (* (* x y) (* x y)) (* x y)) (* (* z z) z))
170.0ms
(/ (* (* (* x x) x) (* (* y y) y)) (* (* z z) z))
72.0ms
(log (/ (* x y) z))
57.0ms
(/ (* x y) (* (cbrt z) (cbrt z)))

prune296.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×*-un-lft-identity associate-*r* add-cube-cbrt
20×cbrt-prod
18×add-cbrt-cube
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 unswap-sqr
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow1/3
div-inv
frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 104
Calls
4 calls:
Slowest
41.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
337.0ms
(cbrt z)
308.0ms
(cbrt z)
269.0ms
(cbrt z)
111.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify14.7s

Counts
128 → 116
Calls
128 calls:
Slowest
710.0ms
(* (* (* (/ x (* (cbrt z) (cbrt z))) (/ x (* (cbrt z) (cbrt z)))) (/ x (* (cbrt z) (cbrt z)))) (* (* (/ y (cbrt z)) (/ y (cbrt z))) (/ y (cbrt z))))
674.0ms
(* (/ (* (* x x) x) (* z z)) (/ (* (* y y) y) z))
613.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) 1))
541.0ms
(+ (- (log x) (log (* (cbrt z) (cbrt z)))) (- (log y) (log (cbrt z))))
492.0ms
(+ (- (log x) (+ (log (cbrt z)) (log (cbrt z)))) (- (log y) (log (cbrt z))))

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

5.7b
(* x (/ y z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
*-un-lft-identity add-cube-cbrt
add-cbrt-cube add-exp-log
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
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
22.0ms
(* x (/ y z))

series29.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
29.0ms
(* x (/ y z))

simplify2.0s

Counts
39 → 38
Calls
39 calls:
Slowest
288.0ms
(* (* (* x (/ y z)) (* x (/ y z))) (* x (/ y z)))
249.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
194.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
134.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
101.0ms
(* x (/ (* (cbrt y) (cbrt y)) 1))

prune422.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

5.9b
(/ x (/ z y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
add-cbrt-cube add-exp-log
div-inv
cbrt-undiv div-exp associate-/l*
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
8.0ms
(/ x (/ z y))

series28.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
28.0ms
(/ x (/ z y))

simplify5.4s

Counts
116 → 76
Calls
116 calls:
Slowest
512.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
446.0ms
(/ (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
345.0ms
(* (* (/ x (/ z y)) (/ x (/ z y))) (/ x (/ z y)))
243.0ms
(/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y))))
196.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (sqrt y)))

prune856.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes269.0ms

Accuracy

94.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.9b

bsearch18.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s9632×body80valid