Details

Time bar (total: 22.3s)

sample47.0ms

Algorithm
intervals
Results
32.0ms336×body80valid

simplify67.0ms

Counts
1 → 1
Iterations
IterNodes
858
758
655
552
446
339
229
116
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)
3.8b
(* (/ x y) z)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
51.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
26.0ms
(/ (+ x 4) y)
10.0ms
(* (/ x y) z)

series127.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
30.0ms
(/ (+ x 4) y)
38.0ms
(* (/ x y) z)

simplify4.3s

Counts
129 → 129
Iterations
IterNodes
34429
21292
1414
0168

prune967.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
0.0b
(+ (/ 4 y) (/ x y))
3.8b
(* (/ x y) z)

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
13×fma-def associate-*l*
12×distribute-lft-out
10×add-log-exp
8×add-cbrt-cube fma-neg prod-diff add-exp-log div-inv
5×pow1
4×associate-*l/
3×expm1-log1p-u distribute-rgt-out associate-*r* frac-sub insert-posit16 log1p-expm1-u
2×sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 104
Calls
3 calls:
108.0ms
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
15.0ms
(+ (/ 4 y) (/ x y))
18.0ms
(* (/ x y) z)

series135.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (+ (/ 4 y) (/ x y)) (* (/ x y) z))
40.0ms
(+ (/ 4 y) (/ x y))
27.0ms
(* (/ x y) z)

simplify5.4s

Counts
113 → 113
Iterations
IterNodes
35603
21465
1399
0156

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.8b
(* (/ x y) z)
14.1b
(cbrt (* (/ x y) z))
14.1b
(cbrt (* (/ x y) z))
14.1b
(cbrt (* (/ x y) z))

rewrite48.0ms

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×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u 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 → 74
Calls
4 calls:
19.0ms
(* (/ x y) z)
9.0ms
(cbrt (* (/ x y) z))
9.0ms
(cbrt (* (/ x y) z))
9.0ms
(cbrt (* (/ x y) z))

series316.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ x y) z)
85.0ms
(cbrt (* (/ x y) z))
96.0ms
(cbrt (* (/ x y) z))
112.0ms
(cbrt (* (/ x y) z))

simplify3.3s

Counts
86 → 86
Iterations
IterNodes
45523
31965
2604
1227
0107

prune926.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (/ (cbrt x) y) z)
4.2b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 121
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (/ (cbrt x) y) z)
45.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series629.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt x)
227.0ms
(cbrt x)
119.0ms
(* (/ (cbrt x) y) z)
50.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify1.9s

Counts
133 → 133
Iterations
IterNodes
34928
21234
1455
0175

prune964.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes214.0ms

Accuracy

90.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.5b

bsearch157.0ms

Steps
ItersRangePoint
9
2.309005728999187e+66
4.398179486769042e+71
2.3380013171410126e+66
9
-2.437427836186448e+49
-8.74827305671129e+42
-7.651634445924373e+46

simplify8.0ms

Iterations
IterNodes
226
126
020

end0.0ms

sample1.2s

Algorithm
intervals
Results
947.0ms10107×body80valid