Details

Time bar (total: 13.9s)

sample38.0ms

Algorithm
intervals
Results
17.0ms277×body80valid
0.0ms1×body640valid

simplify802.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11711
23511
36011
49611
514011
616311
718011
820211
924711
1032711
1136511
1239911
1340511
1440711
done40711

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y z) t) (- a z)))
0.0b
(* (- y z) t)
10.6b
(/ (* (- y z) t) (- a z))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* add-log-exp
4×associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ 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* unswap-sqr
Counts
3 → 63
Calls
3 calls:
25.0ms
(+ x (/ (* (- y z) t) (- a z)))
37.0ms
(* (- y z) t)
47.0ms
(/ (* (- y z) t) (- a z))

series252.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(+ x (/ (* (- y z) t) (- a z)))
45.0ms
(* (- y z) t)
82.0ms
(/ (* (- y z) t) (- a z))

simplify1.1s

Counts
72 → 72
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
0124812
1325763
21263685
done5001685

prune207.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
2.8b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
6.0ms
(cbrt (- a z))
9.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
173.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series786.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt (- a z))
192.0ms
(cbrt (- a z))
216.0ms
(cbrt (- a z))
145.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.3s

Counts
134 → 134
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02112506
15872418
221372045
done50001913

prune619.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.8b
(* (* (cbrt t) (cbrt t)) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
19×add-sqr-sqrt
18×cbrt-div
17×*-un-lft-identity associate-*r*
15×cbrt-prod add-cbrt-cube
11×prod-exp cbrt-unprod
9×pow1 add-cube-cbrt flip3-- flip--
8×associate-/r/
6×times-frac
4×cbrt-undiv frac-times div-exp distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3 associate-*r/ pow-prod-down
2×associate-*l/ unswap-sqr
1×associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
142.0ms
(* (* (cbrt t) (cbrt t)) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt (- a z))
194.0ms
(cbrt (- a z))
213.0ms
(cbrt (- a z))
427.0ms
(* (* (cbrt t) (cbrt t)) (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02021741
15311649
216911416
done50001351

prune488.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
0.8b
(* (* (cbrt t) (cbrt t)) (/ (- y z) (* (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))))

rewrite446.0ms

Algorithm
rewrite-expression-head
Rules
366×cbrt-div
140×frac-times
116×flip3-- flip--
89×associate-*r*
80×associate-/r/
70×associate-*l/
36×add-exp-log
29×associate-*r/
20×add-cbrt-cube
18×prod-exp cbrt-unprod
15×add-sqr-sqrt
14×*-un-lft-identity
11×cbrt-prod
9×pow1
8×add-cube-cbrt
6×cbrt-undiv div-exp
5×times-frac
4×add-log-exp
3×pow1/3 pow-prod-down distribute-lft-out-- difference-of-squares
1×associate-*l* *-commutative div-inv unswap-sqr
Counts
4 → 165
Calls
4 calls:
6.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
25.0ms
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
377.0ms
(* (* (cbrt t) (cbrt t)) (/ (- y z) (* (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt (- a z))
216.0ms
(cbrt (- a z))
183.0ms
(cbrt (* (cbrt (- a z)) (cbrt (- a z))))
502.0ms
(* (* (cbrt t) (cbrt t)) (/ (- y z) (* (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))))

simplify867.0ms

Counts
177 → 177
Iterations

Useful iterations: done (857.0ms)

IterNodesCost
05135811
116665716
done50005255

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02041
12541
done2541

end0.0ms

sample1.1s

Algorithm
intervals
Results
490.0ms8698×body80valid
0.0ms2×body640valid
0.0ms1×body160valid