Details

Time bar (total: 30.3s)

sample60.0ms

Algorithm
intervals
Results
42.0ms316×body80valid

simplify95.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
4.0b
(* (/ x y) z)

rewrite104.0ms

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:
24.0ms
(/ (+ x 4) y)
57.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series147.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (+ x 4) y)
55.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
42.0ms
(* (/ x y) z)

simplify4.6s

Counts
129 → 129
Iterations
IterNodes
34394
21304
1414
0168

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
1.5b
(* (/ x (cbrt y)) z)
3.7b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 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 → 127
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
17.0ms
(* (/ x (cbrt y)) z)
56.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series759.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(cbrt y)
282.0ms
(cbrt y)
135.0ms
(* (/ x (cbrt y)) z)
68.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify4.9s

Counts
139 → 139
Iterations
IterNodes
37812
21547
1466
0179

prune1.8s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (/ 1 y))
1.5b
(* (* (cbrt (/ 1 y)) x) z)
3.7b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ 1 y)) x) z))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
54×prod-exp
35×add-cbrt-cube
24×cbrt-unprod
18×pow1
16×cbrt-prod
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac div-exp
9×pow-prod-down
8×associate-*l*
7×associate-*l/
6×cbrt-undiv rec-exp 1-exp
4×expm1-log1p-u cbrt-div associate-*r* insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(cbrt (/ 1 y))
36.0ms
(* (* (cbrt (/ 1 y)) x) z)
128.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ 1 y)) x) z))

series824.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt y)
268.0ms
(cbrt (/ 1 y))
155.0ms
(* (* (cbrt (/ 1 y)) x) z)
98.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ 1 y)) x) z))

simplify6.6s

Counts
128 → 128
Iterations
IterNodes
39258
21812
1493
0195

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.6b
(* (* (cbrt (/ 1 y)) x) (* (cbrt z) (cbrt z)))
3.7b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (* (cbrt (/ 1 y)) x) (* (cbrt z) (cbrt z))) (cbrt z)))

rewrite531.0ms

Algorithm
rewrite-expression-head
Rules
221×add-exp-log
159×prod-exp
71×cbrt-unprod
58×add-cbrt-cube
41×pow1
27×pow-prod-down
24×div-exp
12×cbrt-undiv rec-exp 1-exp
9×associate-*l/
8×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
6×cbrt-prod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div times-frac
2×pow1/3 associate-*r* *-commutative
1×frac-times associate-*r/ div-inv
Counts
4 → 142
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
30.0ms
(* (* (cbrt (/ 1 y)) x) (* (cbrt z) (cbrt z)))
496.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (* (cbrt (/ 1 y)) x) (* (cbrt z) (cbrt z))) (cbrt z)))

series869.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt z)
323.0ms
(cbrt z)
178.0ms
(* (* (cbrt (/ 1 y)) x) (* (cbrt z) (cbrt z)))
112.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (* (cbrt (/ 1 y)) x) (* (cbrt z) (cbrt z))) (cbrt z)))

simplify1.1s

Counts
154 → 154
Iterations
IterNodes
22062
1631
0226

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes190.0ms

Accuracy

40.6% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch91.0ms

Steps
ItersRangePoint
9
1.333812145858384e-90
3.543466061308676e-83
2.4249468621417827e-83

simplify12.0ms

Iterations
IterNodes
232
132
028

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s10096×body80valid