Details

Time bar (total: 26.8s)

sample39.0ms

Algorithm
intervals
Results
26.0ms316×body80valid

simplify84.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
83.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize18.0ms

Local error

Found 3 expressions with local error:

2.1b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/ insert-posit16
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 82
Calls
3 calls:
Slowest
39.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
16.0ms
(/ (+ x 4) y)
9.0ms
(* (/ x y) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
57.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
47.0ms
(/ (+ x 4) y)
30.0ms
(* (/ x y) z)

simplify2.3s

Counts
68 → 91
Calls
68 calls:
Slowest
219.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
208.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
191.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
152.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
138.0ms
(- (* (+ x 4) y) (* y (* x z)))

prune920.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))
0.9b
(* (/ (cbrt x) y) z)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×add-sqr-sqrt
23×associate-*l*
21×add-cbrt-cube
20×*-un-lft-identity times-frac add-cube-cbrt
18×pow1
16×cbrt-prod
15×prod-exp cbrt-unprod
9×pow-prod-down
4×associate-*r* insert-posit16 add-log-exp
3×cbrt-undiv div-exp unswap-sqr
2×pow1/3 associate-*l/ *-commutative
1×associate-*r/ div-inv
Counts
4 → 95
Calls
4 calls:
Slowest
50.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))
10.0ms
(* (/ (cbrt x) y) z)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series804.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
297.0ms
(cbrt x)
270.0ms
(cbrt x)
164.0ms
(* (/ (cbrt x) y) z)
73.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))

simplify6.2s

Counts
70 → 107
Calls
70 calls:
Slowest
651.0ms
(* (* x x) (* (/ x (* (* y y) y)) (* (* z z) z)))
565.0ms
(* (pow (* x -1) 1/3) (/ (* (cbrt -1) z) y))
405.0ms
(+ (+ (log (cbrt x)) (log (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
360.0ms
(+ (log (* (cbrt x) (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
344.0ms
(+ (log (* (cbrt x) (cbrt x))) (+ (log (/ (cbrt x) y)) (log z)))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

11.7b
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
11.7b
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
11.7b
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
2.3b
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
17×add-cbrt-cube
16×pow1
13×prod-exp cbrt-unprod
8×pow-prod-down
4×add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt insert-posit16 add-log-exp
3×cbrt-prod cbrt-div pow1/3
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 61
Calls
4 calls:
Slowest
50.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))
43.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
27.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
25.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))

series391.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
108.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
108.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
91.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z)))
84.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))

simplify6.4s

Counts
35 → 73
Calls
35 calls:
Slowest
605.0ms
(* (* x x) (* (/ x (* (* y y) y)) (* (* z z) z)))
425.0ms
(+ (log (* (cbrt x) (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
415.0ms
(+ (+ (log (cbrt x)) (log (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
372.0ms
(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
367.0ms
(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

11.7b
(cbrt (* (/ x y) z))
11.7b
(cbrt (* (/ x y) z))
11.7b
(cbrt (* (/ x y) z))
2.1b
(* (/ x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
6×pow1
4×associate-*l/ insert-posit16 add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 66
Calls
4 calls:
Slowest
9.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series339.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
121.0ms
(cbrt (* (/ x y) z))
103.0ms
(cbrt (* (/ x y) z))
90.0ms
(cbrt (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify3.0s

Counts
41 → 78
Calls
41 calls:
Slowest
382.0ms
(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
370.0ms
(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
362.0ms
(* (exp (* 1/3 (- (log (/ -1 y)) (+ (log (/ -1 x)) (log (/ -1 z)))))) (cbrt -1))
232.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
210.0ms
(exp (* 1/3 (- (+ (log z) (log x)) (log y))))

prune1.0s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes292.0ms

Accuracy

79.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch156.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.5s10004×body80valid