Details

Time bar (total: 9.2s)

sample33.0ms

Algorithm
intervals
Results
12.0ms289×body80valid

simplify114.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2299
3549
4779
51009
61209
71309
81399
done1399

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.8b
(/ (* x (- y z)) (- t z))

rewrite45.0ms

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:
22.0ms
(* x (- y z))
21.0ms
(/ (* x (- y z)) (- t z))

series105.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
67.0ms
(/ (* x (- y z)) (- t z))

simplify1.8s

Counts
61 → 61
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
0105599
1264575
2863501
33948501
done5000501

prune117.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.2b
(* x (/ (- y z) (- t z)))

rewrite69.0ms

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:
21.0ms
(/ (- y z) (- t z))
44.0ms
(* x (/ (- y z) (- t z)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y z) (- t z))
73.0ms
(* x (/ (- y z) (- t z)))

simplify1.3s

Counts
108 → 108
Iterations

Useful iterations: 2 (135.0ms)

IterNodesCost
01381319
13451247
29501165
328121165
done50011165

prune218.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.2b
(/ x (/ (- t z) (- y z)))

rewrite59.0ms

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:
21.0ms
(/ (- t z) (- y z))
27.0ms
(/ x (/ (- t z) (- y z)))

series206.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- t z) (- y z))
153.0ms
(/ x (/ (- t z) (- y z)))

simplify985.0ms

Counts
200 → 200
Iterations

Useful iterations: done (979.0ms)

IterNodesCost
02703488
16163268
222263166
done50013160

prune394.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
1.2b
(* x (* (- y z) (/ 1 (- t z))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
12.0ms
(/ 1 (- t z))
43.0ms
(* (- y z) (/ 1 (- t z)))
53.0ms
(* x (* (- y z) (/ 1 (- t z))))

series160.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- t z))
50.0ms
(* (- y z) (/ 1 (- t z)))
72.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify2.5s

Counts
128 → 128
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
01581456
13651185
211581025
347161025
done50001025

prune200.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
done89

end0.0ms

sample511.0ms

Algorithm
intervals
Results
214.0ms8726×body80valid