Details

Time bar (total: 21.2s)

sample57.0ms

Algorithm
intervals
Results
41.0ms314×body80valid

simplify373.0ms

Calls
1 calls:
Slowest
373.0ms
(* x (/ (* (/ y z) t) t))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize13.0ms

Local error

Found 1 expressions with local error:

5.6b
(* 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×cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
17.0ms
(* x (/ y z))

series36.0ms

Calls
1 calls:
Slowest
36.0ms
(* x (/ y z))

simplify681.0ms

Calls
27 calls:
Slowest
239.0ms
(* (* (* x x) x) (* (* (/ y z) (/ y z)) (/ y z)))
149.0ms
(* (* (* x x) x) (/ (* (* y y) y) (* (* z z) z)))
55.0ms
(+ (log x) (log (/ y z)))
35.0ms
(+ (log x) (- (log y) (log z)))
29.0ms
(* (sqrt x) (/ (sqrt y) (sqrt z)))

prune412.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite53.0ms

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
4×1-exp insert-posit16 add-log-exp
3×pow1/3 pow-prod-down associate-*r/
1×frac-times associate-*l* associate-*l/ *-commutative div-inv
Calls
4 calls:
Slowest
49.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series927.0ms

Calls
4 calls:
Slowest
315.0ms
(cbrt y)
288.0ms
(cbrt y)
280.0ms
(cbrt y)
43.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

simplify8.6s

Calls
68 calls:
Slowest
753.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (* (* (/ (cbrt y) z) (/ (cbrt y) z)) (/ (cbrt y) z)))
617.0ms
(* (* (* (* x x) x) (/ (* y y) (* (* 1 1) 1))) (/ y (* (* z z) z)))
563.0ms
(* (* (* (* x x) x) (/ (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y))) (* (* 1 1) 1))) (/ y (* (* z z) z)))
460.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))
422.0ms
(* (* x (/ (* (cbrt y) (cbrt y)) 1)) (/ (cbrt y) z))

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (* x y) (/ 1 z))

rewrite17.0ms

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×associate-*l* associate-*r/ un-div-inv *-commutative insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
16.0ms
(* (* x y) (/ 1 z))

series39.0ms

Calls
1 calls:
Slowest
39.0ms
(* (* x y) (/ 1 z))

simplify2.2s

Calls
30 calls:
Slowest
747.0ms
(* (* (* (* x x) x) (* (* y y) y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
210.0ms
(* (* (* (* x x) x) (* (* y y) y)) (/ (* (* 1 1) 1) (* (* z z) z)))
194.0ms
(* (* (* (* x y) (* x y)) (* x y)) (/ (* (* 1 1) 1) (* (* z z) z)))
139.0ms
(* (* (* (* x y) (* x y)) (* x y)) (* (* (/ 1 z) (/ 1 z)) (/ 1 z)))
105.0ms
(+ (log (* x y)) (- (log 1) (log z)))

prune449.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

5.7b
(/ x (/ z y))

rewrite7.0ms

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×pow1 clear-num frac-2neg associate-/r/ insert-posit16 add-log-exp
Calls
1 calls:
Slowest
6.0ms
(/ x (/ z y))

series26.0ms

Calls
1 calls:
Slowest
26.0ms
(/ x (/ z y))

simplify3.8s

Calls
100 calls:
Slowest
470.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))
328.0ms
(/ (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
205.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) (sqrt y)))
202.0ms
(/ (* (cbrt x) (cbrt x)) (/ 1 (* (cbrt y) (cbrt y))))
165.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (cbrt z) (cbrt z)) 1))

prune711.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes246.0ms

Accuracy

80.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 5.0b

bsearch8.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s9602×body80valid