Details

Time bar (total: 8.7s)

sample46.0ms

Algorithm
intervals
Results
20.0ms344×body80valid

simplify161.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1167
2367
3797
41227
51347
61367
done1367

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 1 expressions with local error:

8.1b
(* (- (* x y) (* z y)) t)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-- distribute-rgt-out-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
29.0ms
(* (- (* x y) (* z y)) t)

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* (- (* x y) (* z y)) t)

simplify461.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
052310
1136247
2571217
done5000217

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (* 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))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (* t y) (- x z))

simplify1.4s

Counts
49 → 49
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0114873
1334706
22081564
done5001540

prune79.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(pow (cbrt x) 3)
1.5b
(* (* t y) (+ (- z) z))
5.9b
(* (* t y) (- (pow (cbrt x) 3) z))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
108×prod-diff
93×add-sqr-sqrt
88×*-un-lft-identity
82×add-cube-cbrt
57×distribute-rgt-in distribute-lft-in
47×cbrt-prod
44×unpow-prod-down cube-prod
23×associate-*r*
15×pow1 add-exp-log
14×add-cbrt-cube
8×sqr-pow
7×cube-mult unpow3
6×pow-prod-down prod-exp cbrt-unprod difference-of-squares
4×distribute-lft-neg-in expm1-log1p-u distribute-rgt-out associate-*r/ log1p-expm1-u distribute-lft-out add-log-exp
3×pow-unpow distribute-rgt-neg-in
2×neg-mul-1 sub-neg pow-pow distribute-lft1-in pow1/3 associate-*l* *-commutative
1×pow-to-exp flip3-- flip3-+ pow-exp flip-- flip-+ distribute-lft-out-- rem-cube-cbrt
Counts
4 → 220
Calls
4 calls:
1.0ms
(cbrt x)
4.0ms
(pow (cbrt x) 3)
45.0ms
(* (* t y) (+ (- z) z))
86.0ms
(* (* t y) (- (pow (cbrt x) 3) z))

series567.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt x)
272.0ms
(pow (cbrt x) 3)
2.0ms
(* (* t y) (+ (- z) z))
95.0ms
(* (* t y) (- (pow (cbrt x) 3) z))

simplify523.0ms

Counts
232 → 232
Iterations

Useful iterations: done (514.0ms)

IterNodesCost
02905131
19613189
done50002556

prune483.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
1.2b
(* (* (* (cbrt (- x z)) (cbrt (- x z))) (* t y)) (cbrt (- x z)))
4.8b
(* (* (cbrt (- x z)) (cbrt (- x z))) (* t y))

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
48×associate-*l/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
10×associate-*r/
9×associate-*r*
8×add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 126
Calls
4 calls:
4.0ms
(cbrt (- x z))
4.0ms
(cbrt (- x z))
341.0ms
(* (* (* (cbrt (- x z)) (cbrt (- x z))) (* t y)) (cbrt (- x z)))
111.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* t y))

series733.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- x z))
203.0ms
(cbrt (- x z))
76.0ms
(* (* (* (cbrt (- x z)) (cbrt (- x z))) (* t y)) (cbrt (- x z)))
300.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* t y))

simplify1.2s

Counts
138 → 138
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02012806
15272683
223532270
done50002088

prune367.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

95.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch1.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02781
13779
23879
done3879

end0.0ms

sample1.4s

Algorithm
intervals
Results
475.0ms10552×body80valid