Details

Time bar (total: 7.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms282×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3539
4759
5989
61189
71289
81379
done1379

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.1b
(/ (* x (- y z)) (- t z))

rewrite22.0ms

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:
10.0ms
(* x (- y z))
10.0ms
(/ (* x (- y z)) (- t z))

series99.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
65.0ms
(/ (* x (- y z)) (- t z))

simplify1.3s

Counts
61 → 61
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0105599
1264575
2847501
33535501
done5000499

prune132.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.5b
(/ x (/ (- t z) (- y z)))

rewrite42.0ms

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:
14.0ms
(/ (- t z) (- y z))
15.0ms
(/ x (/ (- t z) (- y z)))

series197.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- t z) (- y z))
147.0ms
(/ x (/ (- t z) (- y z)))

simplify753.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
02703488
16343268
222083166
done50003166

prune420.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.5b
(* x (/ (- y z) (- t z)))

rewrite45.0ms

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:
11.0ms
(/ (- y z) (- t z))
28.0ms
(* x (/ (- y z) (- t z)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- y z) (- t z))
67.0ms
(* x (/ (- y z) (- t z)))

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01381319
13501247
29171165
327791165
done50001163

prune225.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

1.1b
(+ (* y x) (* (- z) x))
12.1b
(/ (+ (* y x) (* (- z) x)) (- t z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
20×times-frac
13×add-cube-cbrt
7×distribute-rgt-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-exp-log distribute-lft-neg-out add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-+ div-sub unsub-neg associate-/r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv
Counts
2 → 61
Calls
2 calls:
6.0ms
(+ (* y x) (* (- z) x))
13.0ms
(/ (+ (* y x) (* (- z) x)) (- t z))

series91.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* y x) (* (- z) x))
55.0ms
(/ (+ (* y x) (* (- z) x)) (- t z))

simplify1.7s

Counts
67 → 67
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01091112
1259857
2867806
33505799
done5000795

prune145.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

-9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.0b

bsearch48.0ms

Steps
ItersRangePoint
7
1.2547523394300577e-213
1.422627522925298e-211
1.204072221446801e-212
5
-7.70921341637642e-69
-2.2887303055087398e-69
-3.543374415214875e-69

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01938
12730
23030
33130
done3130

end0.0ms

sample451.0ms

Algorithm
intervals
Results
233.0ms8752×body80valid