Details

Time bar (total: 21.5s)

sample35.0ms

Algorithm
intervals
Results
14.0ms354×body80valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5001
133308
122041
111149
10682
9352
8198
7153
6134
5109
472
340
223
114
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
5.7b
(/ (* y (- z x)) t)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
14.0ms
(+ x (/ (* y (- z x)) t))
19.0ms
(* y (- z x))
12.0ms
(/ (* y (- z x)) t)

series161.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (/ (* y (- z x)) t))
44.0ms
(* y (- z x))
64.0ms
(/ (* y (- z x)) t)

simplify2.1s

Counts
70 → 70
Iterations
IterNodes
done5004
33908
2880
1304
0113

prune442.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ y t) (- z x)) x)
6.8b
(* (/ y t) (- z x))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*r*
4×distribute-rgt-in pow1 associate-+l+ sub-neg distribute-lft-in add-log-exp
2×frac-times flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*l/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
18.0ms
(+ (* (/ y t) (- z x)) x)
33.0ms
(* (/ y t) (- z x))

series140.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (* (/ y t) (- z x)) x)
80.0ms
(* (/ y t) (- z x))

simplify2.6s

Counts
63 → 63
Iterations
IterNodes
done5025
34268
21047
1322
0120

prune407.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z x))
0.6b
(cbrt (- z x))
2.3b
(* (* (/ y t) (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt (- z x)))
4.8b
(* (/ y t) (* (cbrt (- z x)) (cbrt (- z x))))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
6.0ms
(cbrt (- z x))
6.0ms
(cbrt (- z x))
215.0ms
(* (* (/ y t) (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt (- z x)))
67.0ms
(* (/ y t) (* (cbrt (- z x)) (cbrt (- z x))))

series668.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt (- z x))
217.0ms
(cbrt (- z x))
70.0ms
(* (* (/ y t) (* (cbrt (- z x)) (cbrt (- z x)))) (cbrt (- z x)))
153.0ms
(* (/ y t) (* (cbrt (- z x)) (cbrt (- z x))))

simplify1.9s

Counts
176 → 176
Iterations
IterNodes
done5000
22096
1793
0296

prune936.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.5b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x)))))
2.3b
(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x))))) (cbrt (- z x)))
2.5b
(* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
288×cbrt-div
282×frac-times
263×add-exp-log
178×associate-*r/
162×prod-exp
144×flip3-- flip--
98×cbrt-unprod
93×add-cbrt-cube
84×associate-*l/
62×div-exp
34×cbrt-undiv
32×pow1
30×associate-*l*
29×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac
22×add-cube-cbrt
20×1-exp
19×pow-prod-down
18×cbrt-prod
10×associate-*r*
4×add-log-exp
3×*-commutative unswap-sqr
2×div-inv
1×pow1/3 distribute-lft-out-- difference-of-squares
Counts
4 → 336
Calls
4 calls:
1.0ms
(cbrt y)
280.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x)))))
754.0ms
(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x))))) (cbrt (- z x)))
62.0ms
(* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x))))

series723.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt y)
190.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x)))))
105.0ms
(* (* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x))))) (cbrt (- z x)))
208.0ms
(* (/ (cbrt y) t) (* (cbrt (- z x)) (cbrt (- z x))))

simplify3.6s

Counts
348 → 348
Iterations
IterNodes
done5001
24993
11702
0553

prune1.6s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes472.0ms

Accuracy

58.8% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify3.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample791.0ms

Algorithm
intervals
Results
465.0ms10577×body80valid