Details

Time bar (total: 48.7s)

sample42.0ms

Algorithm
intervals
Results
18.0ms313×body80valid

simplify4.4s

Counts
1 → 1
Iterations
IterNodes
done5067
51651
4336
396
238
116
08

prune194.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize19.0ms

Local error

Found 1 expressions with local error:

4.3b
(* (/ y z) x)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
96.0ms
(* (/ y z) x)

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(* (/ y z) x)

simplify3.9s

Counts
35 → 35
Iterations
IterNodes
done5000
31832
2512
1158
068

prune537.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.9b
(* (/ y (cbrt z)) x)
2.0b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

rewrite278.0ms

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×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
39.0ms
(* (/ y (cbrt z)) x)
214.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
354.0ms
(cbrt z)
368.0ms
(cbrt z)
209.0ms
(* (/ y (cbrt z)) x)
254.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (/ y (cbrt z)) x))

simplify6.1s

Counts
127 → 127
Iterations
IterNodes
done5000
21667
1456
0171

prune1.9s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize112.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (/ 1 (* (cbrt z) (cbrt z))) (* (* (cbrt (* (/ y (cbrt z)) x)) (cbrt (* (/ y (cbrt z)) x))) (cbrt (* (/ y (cbrt z)) x))))
10.7b
(cbrt (* (/ y (cbrt z)) x))
10.7b
(cbrt (* (/ y (cbrt z)) x))
10.7b
(cbrt (* (/ y (cbrt z)) x))

rewrite512.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
51×prod-exp
38×associate-*l/
27×cbrt-div
22×add-cbrt-cube
21×cbrt-unprod
17×frac-times
13×pow1 associate-*r/
12×div-exp
7×associate-*l*
6×cbrt-undiv add-sqr-sqrt add-cube-cbrt rec-exp *-un-lft-identity 1-exp pow-prod-down
4×add-log-exp
3×cbrt-prod times-frac pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
429.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (* (cbrt (* (/ y (cbrt z)) x)) (cbrt (* (/ y (cbrt z)) x))) (cbrt (* (/ y (cbrt z)) x))))
16.0ms
(cbrt (* (/ y (cbrt z)) x))
14.0ms
(cbrt (* (/ y (cbrt z)) x))
17.0ms
(cbrt (* (/ y (cbrt z)) x))

series1.4s

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (/ 1 (* (cbrt z) (cbrt z))) (* (* (cbrt (* (/ y (cbrt z)) x)) (cbrt (* (/ y (cbrt z)) x))) (cbrt (* (/ y (cbrt z)) x))))
377.0ms
(cbrt (* (/ y (cbrt z)) x))
405.0ms
(cbrt (* (/ y (cbrt z)) x))
551.0ms
(cbrt (* (/ y (cbrt z)) x))

simplify11.4s

Counts
106 → 106
Iterations
IterNodes
done5021
34966
21306
1456
0172

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize283.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
102.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

series2.4s

Counts
4 → 12
Calls
4 calls:
581.0ms
(cbrt z)
886.0ms
(cbrt z)
636.0ms
(cbrt z)
269.0ms
(* (/ y (* (cbrt z) (cbrt z))) (/ x (cbrt z)))

simplify8.0s

Counts
104 → 104
Iterations
IterNodes
done5000
21877
1443
0141

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes1.1s

Accuracy

68.9% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 5.8b

bsearch2.0ms

simplify6.0ms

Iterations
IterNodes
done21
121
018

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s9602×body80valid