Details

Time bar (total: 10.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms352×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1167
2367
3727
41067
51217
61237
done1237

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z y))
6.4b
(* (- (* x y) (* z y)) t)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
1×sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
10.0ms
(* (- (* x y) (* z y)) t)

series81.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (* x y) (* z y))
48.0ms
(* (- (* x y) (* z y)) t)

simplify2.3s

Counts
46 → 46
Iterations

Useful iterations: done (2.3s)

IterNodesCost
069521
1172408
2629369
32958368
done5001367

prune125.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.2b
(* y (* (- x z) t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- x z) t)
13.0ms
(* y (* (- x z) t))

series69.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- x z) t)
39.0ms
(* y (* (- x z) t))

simplify2.4s

Counts
52 → 52
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
081445
1190431
2682365
33232365
done5000365

prune126.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
6.2b
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
32×associate-*l/
30×flip3-- flip--
28×frac-times
22×pow1 add-exp-log
16×add-cbrt-cube
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative
Counts
4 → 106
Calls
4 calls:
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
2.0ms
(cbrt (- x z))
121.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- x z))
147.0ms
(cbrt (- x z))
148.0ms
(cbrt (- x z))
42.0ms
(* y (* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) t)))

simplify1.1s

Counts
118 → 118
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
01962002
15401961
216631591
done50001591

prune364.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
7.4b
(cbrt (- (* x y) (* z y)))
7.4b
(cbrt (- (* x y) (* z y)))
7.4b
(cbrt (* y (- x z)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
46×associate-*r/
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
14×associate-*l/
10×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×distribute-rgt-out--
1×associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
44.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
2.0ms
(cbrt (- (* x y) (* z y)))
2.0ms
(cbrt (- (* x y) (* z y)))
3.0ms
(cbrt (* y (- x z)))

series759.0ms

Counts
4 → 12
Calls
4 calls:
366.0ms
(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* t (cbrt (* y (- x z)))))
115.0ms
(cbrt (- (* x y) (* z y)))
113.0ms
(cbrt (- (* x y) (* z y)))
165.0ms
(cbrt (* y (- x z)))

simplify993.0ms

Counts
107 → 107
Iterations

Useful iterations: done (989.0ms)

IterNodesCost
02153108
15682609
216392225
done50002085

prune389.0ms

Pruning

14 alts after pruning (10 fresh and 4 done)

Merged error: 0.0b

regimes432.0ms

Accuracy

89.7% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02781
13481
done3481

end0.0ms

sample541.0ms

Algorithm
intervals
Results
267.0ms10683×body80valid