Details

Time bar (total: 4.4s)

sample21.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636
done636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
3.1b
(* (/ x y) z)

rewrite99.0ms

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-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 117
Calls
3 calls:
59.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(/ (+ x 4.0) y)
14.0ms
(* (/ x y) z)

series97.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(/ (+ x 4.0) y)
22.0ms
(* (/ x y) z)

simplify43.0ms

Counts
126 → 126
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0399743
11422683
25001668
done5001668

prune286.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.8b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×add-cbrt-cube
10×times-frac
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
33.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series654.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt z)
182.0ms
(cbrt z)
175.0ms
(cbrt z)
118.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify130.0ms

Counts
88 → 88
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0255402
1952317
24648303
35001298
done5001298

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (cbrt x) y) z)
3.5b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite75.0ms

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×add-cube-cbrt *-un-lft-identity
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/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
18.0ms
(* (/ (cbrt x) y) z)
51.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series667.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
327.0ms
(cbrt x)
117.0ms
(* (/ (cbrt x) y) z)
52.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify69.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0479791
12318609
25002552
done5002552

prune332.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.1b
(* (/ x y) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (/ x y) z)

series555.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
179.0ms
(cbrt y)
177.0ms
(cbrt y)
22.0ms
(* (/ x y) z)

simplify54.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0190263
1647239
22424232
35001229
done5001229

prune231.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

90.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.0b

bsearch48.0ms

Steps
ItersRangePoint
5
6.3172542350845715e-65
1.2973469502313585e-64
1.0865624832176259e-64
6
-1.8514978568987233e+24
-2.6502145472017594e+23
-2.748596490892615e+23

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012
13012
done3012

end0.0ms

sample560.0ms

Algorithm
intervals
Results
285.0ms10025×body80valid