Details

Time bar (total: 15.1s)

sample69.0ms

Algorithm
intervals
Results
31.0ms395×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
13821
211221
337921
4200021
done500021

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite483.0ms

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:
23.0ms
(* (- y 1.0) z)
26.0ms
(* (- t 1.0) a)
237.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
190.0ms
(* (- (+ y t) 2.0) b)

series387.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (- y 1.0) z)
50.0ms
(* (- t 1.0) a)
264.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
32.0ms
(* (- (+ y t) 2.0) b)

simplify2.5s

Counts
109 → 109
Iterations

Useful iterations: 2 (666.0ms)

IterNodesCost
02662710
18982499
247672403
done50002403

prune587.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.6b
(cbrt (* (- (+ y t) 2.0) b))
0.6b
(cbrt (* (- (+ y t) 2.0) b))
0.6b
(cbrt (* (- (+ y t) 2.0) b))

rewrite365.0ms

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:
208.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
46.0ms
(cbrt (* (- (+ y t) 2.0) b))
44.0ms
(cbrt (* (- (+ y t) 2.0) b))
64.0ms
(cbrt (* (- (+ y t) 2.0) b))

series778.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
200.0ms
(cbrt (* (- (+ y t) 2.0) b))
166.0ms
(cbrt (* (- (+ y t) 2.0) b))
188.0ms
(cbrt (* (- (+ y t) 2.0) b))

simplify690.0ms

Counts
84 → 84
Iterations

Useful iterations: done (687.0ms)

IterNodesCost
01591864
14051721
213211572
done50001445

prune651.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
0.6b
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
0.6b
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
0.9b
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 3 1))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
12×cbrt-div *-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
7×unpow-prod-down
6×associate-*l/
5×pow1 add-exp-log
4×pow-unpow pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 66
Calls
4 calls:
18.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
27.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
35.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
49.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 3 1))

series718.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
146.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
149.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
246.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 3 1))

simplify720.0ms

Counts
78 → 78
Iterations

Useful iterations: done (716.0ms)

IterNodesCost
01631692
14481495
213641405
done50011344

prune638.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
4.3b
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
12.6b
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

rewrite355.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt
13×add-exp-log add-cbrt-cube add-log-exp
10×add-cube-cbrt associate-*l/
9×associate-*l*
8×pow1 flip3-- flip--
7×distribute-lft-out
6×associate-*r* frac-add
5×times-frac associate-/r*
4×associate-+l+ frac-sub
3×diff-log prod-exp sum-log cbrt-unprod
2×cbrt-undiv sub-neg flip3-+ div-exp pow-prod-down associate--l+ associate-/r/ *-commutative flip-+ associate-/l/ difference-of-squares unswap-sqr
1×+-commutative associate-+l- frac-2neg clear-num div-inv associate-/l* distribute-lft-out--
Counts
4 → 97
Calls
4 calls:
23.0ms
(* (- t 1.0) a)
152.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
71.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
106.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

series711.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (- t 1.0) a)
526.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0)))
65.0ms
(* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b)
83.0ms
(/ (* (- (* (+ y t) (+ y t)) (* 2.0 2.0)) b) (+ (+ y t) 2.0))

simplify440.0ms

Counts
109 → 109
Iterations

Useful iterations: done (435.0ms)

IterNodesCost
02622950
18792765
done50002543

prune550.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
12321
done2321

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.7s12584×body80valid
1.0ms4×body320valid
1.0ms2×body640valid
1.0ms1×body1280valid