Details

Time bar (total: 19.1s)

sample49.0ms

Algorithm
intervals
Results
21.0ms333×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5001
113881
101313
9507
8252
7161
6132
5111
487
355
231
114
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize22.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (/ x y) (- z t))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*r*
3×pow1
2×distribute-rgt-in frac-times sub-neg distribute-lft-in flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
45.0ms
(* (/ x y) (- z t))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(* (/ x y) (- z t))

simplify2.8s

Counts
45 → 45
Iterations
IterNodes
done5001
33391
2865
1262
099

prune302.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
9.3b
(cbrt (/ x y))
9.3b
(cbrt (/ x y))
9.3b
(cbrt (/ x y))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod cbrt-div
29×frac-times
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-*r/
16×pow1 add-exp-log
13×associate-*l/
10×add-cbrt-cube
8×distribute-rgt-in distribute-lft-in flip3-- pow-prod-down prod-exp cbrt-unprod flip--
4×sub-neg add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 119
Calls
4 calls:
72.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series351.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
109.0ms
(cbrt (/ x y))
80.0ms
(cbrt (/ x y))
86.0ms
(cbrt (/ x y))

simplify1.5s

Counts
131 → 131
Iterations
IterNodes
done5000
21379
1473
0178

prune940.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 y))
0.6b
(cbrt x)
9.3b
(cbrt (/ x y))
9.3b
(cbrt (/ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
3×cbrt-div div-inv
Counts
4 → 77
Calls
4 calls:
2.0ms
(cbrt (/ 1 y))
1.0ms
(cbrt x)
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series714.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (/ 1 y))
252.0ms
(cbrt x)
114.0ms
(cbrt (/ x y))
92.0ms
(cbrt (/ x y))

simplify2.4s

Counts
89 → 89
Iterations
IterNodes
done5018
43705
31093
2426
1209
0131

prune598.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
3.1b
(cbrt (/ x (cbrt y)))
9.3b
(cbrt (/ x y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
30×times-frac
27×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
3×cbrt-div div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt x)
8.0ms
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
3.0ms
(cbrt (/ x (cbrt y)))
2.0ms
(cbrt (/ x y))

series1.0s

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt x)
458.0ms
(cbrt (/ 1 (* (cbrt y) (cbrt y))))
211.0ms
(cbrt (/ x (cbrt y)))
112.0ms
(cbrt (/ x y))

simplify1.6s

Counts
92 → 92
Iterations
IterNodes
done5001
31791
2615
1301
0191

prune915.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes623.0ms

Accuracy

-7.3% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch87.0ms

Steps
ItersRangePoint
10
4294615840849.9385
2.955234429590219e+28
798392594011827.5
5
2.5908647007362054e-268
5.872074394021798e-268
3.672139456026927e-268

simplify5.0ms

Iterations
IterNodes
done24
124
017

end0.0ms

sample1.0s

Algorithm
intervals
Results
539.0ms10566×body80valid