Details

Time bar (total: 12.6s)

sample26.0ms

Algorithm
intervals
Results
10.0ms337×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4889
51459
62019
73869
89199
931169
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.5b
(/ (* y (- z x)) t)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-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×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
10.0ms
(+ x (/ (* y (- z x)) t))
26.0ms
(* y (- z x))
16.0ms
(/ (* y (- z x)) t)

series140.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ x (/ (* y (- z x)) t))
43.0ms
(* y (- z x))
55.0ms
(/ (* y (- z x)) t)

simplify712.0ms

Counts
70 → 70
Iterations

Useful iterations: done (711.0ms)

IterNodesCost
0113722
1309679
21171613
done5001589

prune143.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.4b
(/ 1 (/ t (* y (- z x))))
5.5b
(/ t (* y (- z x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×pow1 cbrt-undiv div-inv
6×flip3-- flip-- associate-/l* add-log-exp
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
22.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
20.0ms
(* y (- z x))
34.0ms
(/ 1 (/ t (* y (- z x))))
12.0ms
(/ t (* y (- z x)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
49.0ms
(* y (- z x))
62.0ms
(/ 1 (/ t (* y (- z x))))
45.0ms
(/ t (* y (- z x)))

simplify1.1s

Counts
138 → 138
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01951749
14871558
222371372
done50001360

prune320.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.4b
(/ 1 (/ (/ t y) (- z x)))
5.8b
(/ (/ t y) (- z x))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
119.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
32.0ms
(/ 1 (/ (/ t y) (- z x)))
18.0ms
(/ (/ t y) (- z x))

series150.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
64.0ms
(/ 1 (/ (/ t y) (- z x)))
47.0ms
(/ (/ t y) (- z x))

simplify1.1s

Counts
434 → 434
Iterations

Useful iterations: done (1.0s)

IterNodesCost
05758555
116627415
done50007093

prune931.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (/ 1 (/ t y)) (- z x)))
0.8b
(/ 1 (/ t y))
5.6b
(* (/ 1 (/ t y)) (- z x))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
97×add-sqr-sqrt
85×*-un-lft-identity
81×add-cube-cbrt
44×associate-*l*
33×add-exp-log
17×add-cbrt-cube
14×div-exp
13×associate-/r*
9×div-inv
7×prod-exp
6×pow1 cbrt-undiv
5×associate-*r* add-log-exp unswap-sqr
4×distribute-rgt-in sub-neg rec-exp associate-+r+ distribute-lft-in 1-exp
3×cbrt-unprod associate-/l*
2×frac-times flip3-- associate-*r/ associate-/r/ flip--
1×+-commutative pow-flip frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares
Counts
3 → 173
Calls
3 calls:
7.0ms
(+ x (* (/ 1 (/ t y)) (- z x)))
11.0ms
(/ 1 (/ t y))
65.0ms
(* (/ 1 (/ t y)) (- z x))

series118.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ x (* (/ 1 (/ t y)) (- z x)))
14.0ms
(/ 1 (/ t y))
64.0ms
(* (/ 1 (/ t y)) (- z x))

simplify3.3s

Counts
182 → 182
Iterations

Useful iterations: 2 (732.0ms)

IterNodesCost
02652262
17671956
245221678
done50001678

prune776.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11411
done1411

end0.0ms

sample1.1s

Algorithm
intervals
Results
473.0ms10564×body80valid