Details

Time bar (total: 12.3s)

sample26.0ms

Algorithm
intervals
Results
10.0ms272×body80valid

simplify163.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4779
51009
61209
71309
81399
done1399

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.5b
(/ (* x (- y z)) (- t z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
33.0ms
(* x (- y z))
32.0ms
(/ (* x (- y z)) (- t z))

series134.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
94.0ms
(/ (* x (- y z)) (- t z))

simplify2.6s

Counts
61 → 61
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
0105599
1264575
2863501
33948501
done5000501

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite106.0ms

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-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
38.0ms
(/ (- t z) (- y z))
42.0ms
(/ x (/ (- t z) (- y z)))

series291.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (- t z) (- y z))
214.0ms
(/ x (/ (- t z) (- y z)))

simplify1.2s

Counts
200 → 200
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02703488
16163268
222263166
done50013160

prune547.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.1b
(* x (/ (- y z) (- t z)))

rewrite91.0ms

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-exp-log add-cbrt-cube
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 associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
37.0ms
(/ (- y z) (- t z))
47.0ms
(* x (/ (- y z) (- t z)))

series159.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- y z) (- t z))
80.0ms
(* x (/ (- y z) (- t z)))

simplify1.8s

Counts
108 → 108
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
01381319
13451247
29501165
328121165
done50011165

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
9.1b
(* (- y z) (/ x (- t z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
12.0ms
(/ x (- t z))
52.0ms
(* (- y z) (/ x (- t z)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (- t z))
100.0ms
(* (- y z) (/ x (- t z)))

simplify2.8s

Counts
89 → 89
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
0130977
1290931
21085857
34338857
done5000857

prune316.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

-6.2% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch114.0ms

Steps
ItersRangePoint
9
-8.055814313785152e-234
-1.4863447304785539e-242
-9.428482046988604e-240
6
-1.3471664051920245e-24
-2.9110901460504755e-25
-3.5210619570255566e-25

simplify5.0ms

Iterations

Useful iterations: done (5.0ms)

IterNodesCost
02037
12437
done2435

end0.0ms

sample960.0ms

Algorithm
intervals
Results
424.0ms8748×body80valid