Details

Time bar (total: 32.0s)

sample104.0ms

Algorithm
intervals
Results
31.0ms383×body80valid

simplify282.0ms

Counts
1 → 1
Iterations
IterNodes
done106
5106
4105
389
254
126
013

prune80.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
5.8b
(* (* a z) b)

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×insert-posit16
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 60
Calls
4 calls:
7.0ms
(+ x (* y z))
142.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
45.0ms
(+ (+ x (* y z)) (* t a))
49.0ms
(* (* a z) b)

series423.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ x (* y z))
218.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
117.0ms
(+ (+ x (* y z)) (* t a))
45.0ms
(* (* a z) b)

simplify3.3s

Counts
72 → 72
Iterations
IterNodes
done5004
21399
1342
0119

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.1b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.9b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×insert-posit16 add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
3.0ms
(cbrt b)
3.0ms
(cbrt b)
226.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
57.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series1.0s

Counts
4 → 12
Calls
4 calls:
360.0ms
(cbrt b)
337.0ms
(cbrt b)
100.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
229.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.6s

Counts
90 → 90
Iterations
IterNodes
done5000
21025
1272
099

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize126.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.1b
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
1.9b
(* a (* z (* (cbrt b) (cbrt b))))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*r*
4×associate-*l* insert-posit16 add-log-exp
2×pow1/3 *-commutative
Counts
4 → 74
Calls
4 calls:
3.0ms
(cbrt b)
3.0ms
(cbrt b)
336.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
122.0ms
(* a (* z (* (cbrt b) (cbrt b))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt b)
309.0ms
(cbrt b)
82.0ms
(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
233.0ms
(* a (* z (* (cbrt b) (cbrt b))))

simplify3.1s

Counts
86 → 86
Iterations
IterNodes
done5000
21024
1277
0101

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize158.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.8b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z (* (cbrt b) (cbrt b)))))
1.1b
(* (* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z (* (cbrt b) (cbrt b))))) (cbrt b))
1.4b
(* (cbrt a) (* z (* (cbrt b) (cbrt b))))

rewrite1.8s

Algorithm
rewrite-expression-head
Rules
87×pow1 add-exp-log
63×pow-prod-down prod-exp cbrt-unprod
37×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×associate-*r* associate-*l*
4×insert-posit16 add-log-exp
3×*-commutative
1×pow1/3
Counts
4 → 115
Calls
4 calls:
3.0ms
(cbrt b)
347.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z (* (cbrt b) (cbrt b)))))
1.3s
(* (* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z (* (cbrt b) (cbrt b))))) (cbrt b))
152.0ms
(* (cbrt a) (* z (* (cbrt b) (cbrt b))))

series1.0s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt b)
339.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z (* (cbrt b) (cbrt b)))))
88.0ms
(* (* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z (* (cbrt b) (cbrt b))))) (cbrt b))
303.0ms
(* (cbrt a) (* z (* (cbrt b) (cbrt b))))

simplify3.8s

Counts
127 → 127
Iterations
IterNodes
done5000
21823
1475
0174

prune1.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes2.9s

Accuracy

39.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.9b

bsearch85.0ms

Steps
ItersRangePoint
9
5.901529723895165e-93
2.4794728894450256e-87
2.289140927704578e-92

simplify17.0ms

Iterations
IterNodes
done31
131
020

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s11905×body80valid