Details

Time bar (total: 13.8s)

sample34.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify450.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2329
3699
41379
51879
62319
72499
82999
93259
103319
done3319

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.4b
(/ (* y (- z t)) a)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
12.0ms
(- x (/ (* y (- z t)) a))
30.0ms
(* y (- z t))
18.0ms
(/ (* y (- z t)) a)

series211.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- x (/ (* y (- z t)) a))
57.0ms
(* y (- z t))
76.0ms
(/ (* y (- z t)) a)

simplify3.0s

Counts
72 → 72
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0120760
1291717
2874639
34258627
done5000627

prune169.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
3.5b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
66.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series954.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(cbrt a)
261.0ms
(cbrt a)
252.0ms
(cbrt a)
121.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify1.2s

Counts
116 → 116
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01611577
14591499
219841153
done50001056

prune415.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.9b
(* y (/ (- z t) (cbrt a)))
3.4b
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
36×*-un-lft-identity
34×associate-*r*
33×times-frac
30×add-exp-log
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
41.0ms
(* y (/ (- z t) (cbrt a)))
32.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

series734.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt a)
219.0ms
(cbrt a)
165.0ms
(* y (/ (- z t) (cbrt a)))
99.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

simplify1.2s

Counts
114 → 114
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01711364
14371273
21606981
done5000878

prune400.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y (/ (- z t) a)))
0.0b
(/ (- z t) a)
6.7b
(* y (/ (- z t) a))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 88
Calls
3 calls:
8.0ms
(- x (* y (/ (- z t) a)))
32.0ms
(/ (- z t) a)
44.0ms
(* y (/ (- z t) a))

series207.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- x (* y (/ (- z t) a)))
49.0ms
(/ (- z t) a)
77.0ms
(* y (/ (- z t) a))

simplify2.5s

Counts
97 → 97
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01401067
1332996
2954930
33785906
done5001906

prune326.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes287.0ms

Accuracy

95.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02246
13238
23638
33738
done3738

end0.0ms

sample1.3s

Algorithm
intervals
Results
512.0ms10733×body80valid