Details

Time bar (total: 54.3s)

sample152.0ms

Algorithm
intervals
Results
69.0ms420×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
01821
13821
211221
337921
4200021
done500021

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize388.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b
(* (- y 1.0) z)
0.0b
(* (- t 1.0) a)
0.0b
(* (- (+ y t) 2.0) b)

rewrite857.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
22×add-sqr-sqrt
19×flip3-- *-un-lft-identity flip--
16×associate-*l*
13×add-log-exp
12×frac-add
10×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
9×associate-*r*
8×frac-sub
4×associate-+l+ distribute-lft-out--
3×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×sub-neg associate--l+
1×+-commutative associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
477.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
44.0ms
(* (- y 1.0) z)
47.0ms
(* (- t 1.0) a)
275.0ms
(* (- (+ y t) 2.0) b)

series1.6s

Counts
4 → 12
Calls
4 calls:
1.2s
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
106.0ms
(* (- y 1.0) z)
99.0ms
(* (- t 1.0) a)
170.0ms
(* (- (+ y t) 2.0) b)

simplify9.4s

Counts
109 → 109
Iterations

Useful iterations: 2 (3.3s)

IterNodesCost
02662710
18982499
247822403
done50002403

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize301.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
52.0ms
(* (cbrt a) (cbrt a))
2.0ms
(cbrt a)
2.0ms
(cbrt a)
3.0ms
(cbrt a)

series5.6s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt a) (cbrt a))
1.8s
(cbrt a)
1.2s
(cbrt a)
1.3s
(cbrt a)

simplify7.4s

Counts
85 → 85
Iterations

Useful iterations: done (7.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
0.6b
(cbrt (* (- y 1.0) z))
0.6b
(cbrt (* (- y 1.0) z))
0.6b
(cbrt (* (- y 1.0) z))

rewrite538.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
115.0ms
(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
44.0ms
(cbrt (* (- y 1.0) z))
58.0ms
(cbrt (* (- y 1.0) z))
295.0ms
(cbrt (* (- y 1.0) z))

series2.6s

Counts
4 → 12
Calls
4 calls:
715.0ms
(* (cbrt (* (- y 1.0) z)) (cbrt (* (- y 1.0) z)))
625.0ms
(cbrt (* (- y 1.0) z))
717.0ms
(cbrt (* (- y 1.0) z))
478.0ms
(cbrt (* (- y 1.0) z))

simplify2.2s

Counts
84 → 84
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01501569
13751444
211931304
done50011227

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (- x (* (- y 1.0) z)) (/ (* (- (pow t 3) (pow 1.0 3)) a) (+ (* t t) (+ (* 1.0 1.0) (* t 1.0))))) (* (- (+ y t) 2.0) b))
0.0b
(* (- (+ y t) 2.0) b)
2.4b
(* (- (pow t 3) (pow 1.0 3)) a)
9.0b
(/ (* (- (pow t 3) (pow 1.0 3)) a) (+ (* t t) (+ (* 1.0 1.0) (* t 1.0))))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
31×associate-*l*
25×*-un-lft-identity
17×difference-of-squares
14×associate-*l/
13×add-exp-log add-cbrt-cube add-log-exp
12×unpow-prod-down cube-prod
11×flip3-- flip--
10×add-cube-cbrt
8×pow1 frac-add sqr-pow
7×distribute-lft-out--
6×associate-*r*
4×associate-+l+ frac-sub
3×times-frac diff-log prod-exp associate-/r* sum-log cbrt-unprod
2×cbrt-undiv sub-neg flip3-+ div-exp pow-prod-down associate--l+ associate-/r/ *-commutative flip-+ associate-/l/ unswap-sqr
1×difference-cubes +-commutative associate-+l- frac-2neg clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 116
Calls
4 calls:
1.1s
(+ (- (- x (* (- y 1.0) z)) (/ (* (- (pow t 3) (pow 1.0 3)) a) (+ (* t t) (+ (* 1.0 1.0) (* t 1.0))))) (* (- (+ y t) 2.0) b))
259.0ms
(* (- (+ y t) 2.0) b)
347.0ms
(* (- (pow t 3) (pow 1.0 3)) a)
265.0ms
(/ (* (- (pow t 3) (pow 1.0 3)) a) (+ (* t t) (+ (* 1.0 1.0) (* t 1.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
861.0ms
(+ (- (- x (* (- y 1.0) z)) (/ (* (- (pow t 3) (pow 1.0 3)) a) (+ (* t t) (+ (* 1.0 1.0) (* t 1.0))))) (* (- (+ y t) 2.0) b))
81.0ms
(* (- (+ y t) 2.0) b)
142.0ms
(* (- (pow t 3) (pow 1.0 3)) a)
265.0ms
(/ (* (- (pow t 3) (pow 1.0 3)) a) (+ (* t t) (+ (* 1.0 1.0) (* t 1.0))))

simplify856.0ms

Counts
128 → 128
Iterations

Useful iterations: done (840.0ms)

IterNodesCost
02883893
19323444
done50003240

prune2.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes739.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02128
12728
done2728

end0.0ms

sample4.5s

Algorithm
intervals
Results
3.0s12563×body80valid
1.0ms2×body1280valid
1.0ms2×body320valid
0.0ms2×body160valid
0.0ms1×body640valid