Details

Time bar (total: 15.5s)

sample58.0ms

Algorithm
intervals
Results
26.0ms278×body80valid

simplify917.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23311
35811
410111
513211
615911
718111
822411
928111
1031311
1135511
1239011
1340211
done40211

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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:
41.0ms
(* y (- z t))
28.0ms
(/ (* y (- z t)) (- z a))

series145.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* y (- z t))
98.0ms
(/ (* y (- z t)) (- z a))

simplify2.5s

Counts
61 → 61
Iterations

Useful iterations: 2 (156.0ms)

IterNodesCost
0105599
1267575
2869501
33979501
done5000501

prune210.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) (- z t))
2.3b
(/ y (/ (- z a) (- z t)))

rewrite98.0ms

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:
24.0ms
(/ (- z a) (- z t))
46.0ms
(/ y (/ (- z a) (- z t)))

series262.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (- z a) (- z t))
186.0ms
(/ y (/ (- z a) (- z t)))

simplify1.4s

Counts
200 → 200
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02683480
16133260
222223158
done50003152

prune725.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z t))
0.2b
(* (- z a) (/ 1 (- z t)))
2.3b
(/ y (* (- z a) (/ 1 (- z t))))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv flip3-- associate-/r* flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num un-div-inv
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 122
Calls
3 calls:
26.0ms
(/ 1 (- z t))
83.0ms
(* (- z a) (/ 1 (- z t)))
33.0ms
(/ y (* (- z a) (/ 1 (- z t))))

series282.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 1 (- z t))
61.0ms
(* (- z a) (/ 1 (- z t)))
169.0ms
(/ y (* (- z a) (/ 1 (- z t))))

simplify3.7s

Counts
131 → 131
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
01691511
13861238
211991072
347971070
done50011070

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite148.0ms

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:
53.0ms
(/ (- z t) (- z a))
85.0ms
(* y (/ (- z t) (- z a)))

series166.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- z t) (- z a))
107.0ms
(* y (/ (- z t) (- z a)))

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
01381319
13471247
29461165
328281165
done50001165

prune258.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s8699×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid