Details

Time bar (total: 14.3s)

sample29.0ms

Algorithm
intervals
Results
11.0ms361×body80valid

simplify157.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1167
2367
3797
41227
51347
61367
done1367

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z y))
6.0b
(* (- (* x y) (* z y)) t)

rewrite56.0ms

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:
21.0ms
(- (* x y) (* z y))
33.0ms
(* (- (* x y) (* z y)) t)

series106.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(- (* x y) (* z y))
63.0ms
(* (- (* x y) (* z y)) t)

simplify694.0ms

Counts
46 → 46
Iterations

Useful iterations: done (693.0ms)

IterNodesCost
069521
1178408
2801369
done5001368

prune163.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.2b
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
4.1b
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
44×distribute-rgt-in distribute-lft-in
36×prod-diff
34×pow1 add-exp-log
32×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
9×cbrt-prod
8×associate-*r/
7×associate-*r*
4×expm1-log1p-u sub-neg log1p-expm1-u add-log-exp
2×flip3-- pow1/3 associate-*l* associate-*l/ *-commutative flip--
Counts
4 → 130
Calls
4 calls:
2.0ms
(cbrt t)
1.0ms
(cbrt t)
216.0ms
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
74.0ms
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

series1.0s

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt t)
268.0ms
(cbrt t)
97.0ms
(* (* (* (cbrt t) (cbrt t)) (* y (- x z))) (cbrt t))
363.0ms
(* (* (cbrt t) (cbrt t)) (* y (- x z)))

simplify3.8s

Counts
142 → 142
Iterations

Useful iterations: done (3.8s)

IterNodesCost
02352816
17352452
240021709
done50001653

prune407.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- x z))
0.6b
(cbrt t)
0.7b
(pow (cbrt t) 3)
6.0b
(* (pow (cbrt t) 3) (* y (- x z)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
55×distribute-rgt-in *-un-lft-identity distribute-lft-in
54×prod-diff
53×add-cube-cbrt
21×associate-*l*
20×add-exp-log
15×cbrt-prod
12×unpow-prod-down cube-prod
11×add-cbrt-cube
10×prod-exp
7×pow1
6×sub-neg associate-*r/ associate-*r*
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow pow-exp
2×cube-mult flip3-- pow-pow pow1/3 unpow3 *-commutative flip-- sqr-pow
1×pow-prod-down distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 174
Calls
4 calls:
28.0ms
(* y (- x z))
1.0ms
(cbrt t)
4.0ms
(pow (cbrt t) 3)
62.0ms
(* (pow (cbrt t) 3) (* y (- x z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* y (- x z))
253.0ms
(cbrt t)
746.0ms
(pow (cbrt t) 3)
131.0ms
(* (pow (cbrt t) 3) (* y (- x z)))

simplify2.1s

Counts
186 → 186
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02433033
16792046
230701663
done50021583

prune421.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
37.0ms
(* (* t y) (- x z))

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(* (* t y) (- x z))

simplify1.9s

Counts
49 → 49
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0114873
1334706
22081564
done5001540

prune112.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes434.0ms

Accuracy

74.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 7.5b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02051
13137
23237
done3237

end0.0ms

sample1.1s

Algorithm
intervals
Results
563.0ms10640×body80valid