Details

Time bar (total: 19.3s)

sample34.0ms

Algorithm
intervals
Results
16.0ms343×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
089
1149
2278
3628
41158
51758
62408
74378
812288
945348
done50008

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.4b
(* (- y x) (/ z t))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ z t)))
37.0ms
(* (- y x) (/ z t))

series138.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ x (* (- y x) (/ z t)))
75.0ms
(* (- y x) (/ z t))

simplify1.2s

Counts
62 → 62
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0119705
1318665
21555603
done5001576

prune198.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.3b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
96.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series940.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(cbrt t)
304.0ms
(cbrt t)
259.0ms
(cbrt t)
84.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.5s

Counts
114 → 114
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01551459
14801403
227641083
done5001996

prune505.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
94×times-frac
89×cbrt-prod
85×add-exp-log
63×*-un-lft-identity
62×associate-*l*
51×add-cube-cbrt
41×add-cbrt-cube
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
6×frac-times associate-*r/ distribute-lft-out-- difference-of-squares
4×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 197
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
82.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
154.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series1.5s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt t)
312.0ms
(cbrt t)
755.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
158.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify2.9s

Counts
209 → 209
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02874096
19223981
249313385
done50013383

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
0.6b
(cbrt (cbrt (- y x)))
1.1b
(* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) 1) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t))))
1.5b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) 1) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t)))))

rewrite512.0ms

Algorithm
rewrite-expression-head
Rules
339×add-exp-log
172×prod-exp
125×add-cbrt-cube
120×div-exp
116×cbrt-unprod
74×cbrt-undiv
26×frac-times associate-*l*
24×cbrt-div associate-*r/
20×cbrt-prod 1-exp
19×add-sqr-sqrt *-un-lft-identity
18×pow1 times-frac
17×add-cube-cbrt
12×associate-*l/
9×pow-prod-down
7×flip3-- flip--
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 associate-*r* *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 220
Calls
4 calls:
28.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
10.0ms
(cbrt (cbrt (- y x)))
89.0ms
(* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) 1) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t))))
359.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) 1) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
210.0ms
(cbrt (cbrt (- y x)))
789.0ms
(* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) 1) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t))))
109.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) 1) (* (/ (cbrt (cbrt (- y x))) (cbrt t)) (/ z (cbrt t)))))

simplify1.0s

Counts
232 → 232
Iterations

Useful iterations: done (989.0ms)

IterNodesCost
04339293
113638434
done50006599

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes325.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01427
11727
done1727

end0.0ms

sample1.3s

Algorithm
intervals
Results
566.0ms10693×body80valid