Details

Time bar (total: 29.0s)

sample55.0ms

Algorithm
intervals
Results
38.0ms322×body80valid

simplify107.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
107.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize17.0ms

Local error

Found 3 expressions with local error:

3.9b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite88.0ms

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
49.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
27.0ms
(/ (+ x 4) y)
10.0ms
(* (/ x y) z)

series146.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
42.0ms
(* (/ x y) z)
30.0ms
(/ (+ x 4) y)

simplify2.2s

Counts
68 → 91
Calls
68 calls:
Slowest
265.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
249.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
232.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
124.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
121.0ms
(- (* (+ x 4) y) (* y (* x z)))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

6.6b
(* x (/ z y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
0.0b
(+ (/ x y) (/ 4 y))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×associate-*r* add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
4×associate-*r/ distribute-lft-out
3×associate-*l* frac-sub insert-posit16 div-inv
2×sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 69
Calls
3 calls:
Slowest
107.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
22.0ms
(* x (/ z y))
10.0ms
(+ (/ x y) (/ 4 y))

series124.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
39.0ms
(+ (/ x y) (/ 4 y))
31.0ms
(* x (/ z y))

simplify2.7s

Counts
54 → 78
Calls
54 calls:
Slowest
348.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
314.0ms
(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
279.0ms
(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
246.0ms
(/ (exp (+ (/ x y) (/ 4 y))) (exp (* x (/ z y))))
240.0ms
(* (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))

prune805.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

6.1b
(* (* x (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt z) y))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite71.0ms

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
Counts
4 → 93
Calls
4 calls:
Slowest
67.0ms
(* (* x (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt z) y))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series943.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(cbrt z)
288.0ms
(cbrt z)
276.0ms
(cbrt z)
66.0ms
(* (* x (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt z) y))

simplify8.2s

Counts
68 → 105
Calls
68 calls:
Slowest
824.0ms
(* (* (* (* x x) x) (/ (* z z) (* (* 1 1) 1))) (* (* (/ (cbrt z) y) (/ (cbrt z) y)) (/ (cbrt z) y)))
613.0ms
(* (* (* (* x x) x) (/ (* z z) (* (* 1 1) 1))) (/ z (* (* y y) y)))
470.0ms
(* (* x (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt z) y))
456.0ms
(* (* x (/ (* (cbrt z) (cbrt z)) 1)) (/ (cbrt z) y))
423.0ms
(+ (log (* x (/ (* (cbrt z) (cbrt z)) 1))) (- (log (cbrt z)) (log y)))

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

4.2b
(/ z (/ y x))
0.0b
(- (+ (/ x y) (/ 4 y)) (/ (/ z (/ y x)) 1))
0.0b
(+ (/ x y) (/ 4 y))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
70×add-sqr-sqrt
69×*-un-lft-identity
47×add-cube-cbrt
13×associate-/r*
10×add-log-exp
8×add-cbrt-cube add-exp-log
7×div-inv difference-of-squares
6×distribute-lft-out
3×pow1 cbrt-undiv div-exp frac-sub insert-posit16 associate-/l* distribute-lft-out--
2×sum-log flip3-+ diff-log frac-add flip-+
1×+-commutative clear-num sub-neg frac-2neg distribute-rgt-out flip3-- associate--l+ associate-/r/ flip--
Counts
3 → 117
Calls
3 calls:
Slowest
112.0ms
(- (+ (/ x y) (/ 4 y)) (/ (/ z (/ y x)) 1))
10.0ms
(+ (/ x y) (/ 4 y))
7.0ms
(/ z (/ y x))

series157.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
87.0ms
(- (+ (/ x y) (/ 4 y)) (/ (/ z (/ y x)) 1))
40.0ms
(+ (/ x y) (/ 4 y))
30.0ms
(/ z (/ y x))

simplify7.5s

Counts
145 → 126
Calls
145 calls:
Slowest
428.0ms
(/ (* (cbrt z) (cbrt z)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
364.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) 1) (* (- (/ x y) (/ 4 y)) (/ z (/ y x))))
325.0ms
(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) 1)
313.0ms
(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (/ (/ z (/ y x)) 1)))
311.0ms
(/ (* (* z z) z) (* (* (/ y x) (/ y x)) (/ y x)))

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10141×body80valid