Details

Time bar (total: 14.5s)

sample29.0ms

Algorithm
intervals
Results
12.0ms281×body80valid

simplify116.0ms

Counts
1 → 1
Iterations
IterNodes
done138
9138
8137
7128
6115
590
467
346
227
114
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.6b
(/ (* x (- y z)) (- t z))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
25.0ms
(* x (- y z))
29.0ms
(/ (* x (- y z)) (- t z))

series126.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
87.0ms
(/ (* x (- y z)) (- t z))

simplify2.0s

Counts
61 → 61
Iterations
IterNodes
done5000
33455
2808
1273
0105

prune330.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.4b
(* x (/ (- y z) (- t z)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 102
Calls
2 calls:
29.0ms
(/ (- y z) (- t z))
56.0ms
(* x (/ (- y z) (- t z)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- y z) (- t z))
94.0ms
(* x (/ (- y z) (- t z)))

simplify2.4s

Counts
108 → 108
Iterations
IterNodes
done5036
34739
21149
1367
0138

prune498.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.6b
(/ x (/ (- t z) (- y z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×div-sub
Counts
2 → 194
Calls
2 calls:
18.0ms
(/ (- t z) (- y z))
20.0ms
(/ x (/ (- t z) (- y z)))

series282.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- t z) (- y z))
215.0ms
(/ x (/ (- t z) (- y z)))

simplify1.8s

Counts
200 → 200
Iterations
IterNodes
done5002
22516
1716
0270

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.9b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
1.8b
(* (cbrt x) (/ (- y z) (- t z)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×*-un-lft-identity
32×associate-*r*
30×add-exp-log
27×times-frac
19×add-cube-cbrt
18×pow1 add-cbrt-cube
15×prod-exp cbrt-unprod
11×cbrt-prod
10×distribute-lft-out-- difference-of-squares
9×pow-prod-down
7×associate-*l*
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-*r/
2×pow1/3 associate-/r/ *-commutative
1×flip3-- div-inv flip--
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
60.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
65.0ms
(* (cbrt x) (/ (- y z) (- t z)))

series955.0ms

Counts
4 → 12
Calls
4 calls:
307.0ms
(cbrt x)
281.0ms
(cbrt x)
129.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (/ (- y z) (- t z))))
238.0ms
(* (cbrt x) (/ (- y z) (- t z)))

simplify2.1s

Counts
116 → 116
Iterations
IterNodes
done5001
21431
1409
0149

prune619.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes496.0ms

Accuracy

-11% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.3b

bsearch111.0ms

Steps
ItersRangePoint
11
2.8080800529117657e-260
6.383344988468356e-236
5.862038722875421e-249
7
-1.8236516507406991e+40
-5.2611647822735625e+38
-8.21599116430926e+38

simplify3.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample870.0ms

Algorithm
intervals
Results
523.0ms8745×body80valid