Details

Time bar (total: 24.1s)

sample69.0ms

Algorithm
intervals
Results
32.0ms343×body80valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 5 (232.0ms)

IterNodesCost
01417
12517
24916
310616
422816
539215
6104715
7477415
done500015

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.8b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
9.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
18×prod-diff
13×add-exp-log fma-def add-cbrt-cube
12×times-frac
11×distribute-rgt-in distribute-lft-in
8×pow1
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-+ associate-*r/ div-exp flip-+ div-inv associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 99
Calls
3 calls:
80.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
64.0ms
(* (* z 2.0) (- 1.0 t))
70.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series303.0ms

Counts
3 → 9
Calls
3 calls:
102.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
79.0ms
(* (* z 2.0) (- 1.0 t))
121.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify3.8s

Counts
108 → 108
Iterations

Useful iterations: 2 (928.0ms)

IterNodesCost
01941833
15921600
233781328
done50011328

prune812.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
0.0b
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
0.7b
(/ 2.0 (* t z))

rewrite550.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
32×add-sqr-sqrt add-cube-cbrt
30×times-frac
26×fma-def
24×associate-+r+
21×prod-diff
17×add-log-exp
8×add-exp-log frac-add add-cbrt-cube
7×sum-log distribute-lft-out
6×div-inv
3×pow1 expm1-log1p-u associate-+r- flip3-+ flip-+ log1p-expm1-u associate-/l*
2×cbrt-undiv +-commutative flip3-- diff-log div-exp flip-- distribute-lft-out--
1×sub-neg frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
3 → 115
Calls
3 calls:
374.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
148.0ms
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
16.0ms
(/ 2.0 (* t z))

series215.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(+ (/ x y) (+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0)))
58.0ms
(+ (/ 2.0 t) (- (/ 2.0 (* t z)) 2.0))
46.0ms
(/ 2.0 (* t z))

simplify1.8s

Counts
124 → 124
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01931842
15771654
224611538
done50021502

prune902.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (+ (+ (fma (/ 1 t) (/ 2.0 z) (- 2.0)) (/ 2.0 t)) (fma (- 2.0) 1 (* 2.0 1))))
0.0b
(+ (fma (/ 1 t) (/ 2.0 z) (- 2.0)) (/ 2.0 t))
0.1b
(fma (/ 1 t) (/ 2.0 z) (- 2.0))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×fma-def
14×add-log-exp
11×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×sum-log distribute-lft-out
3×pow1 add-exp-log expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative frac-add fma-udef
1×associate-+l+ associate-+r+ div-inv
Counts
3 → 62
Calls
3 calls:
288.0ms
(+ (/ x y) (+ (+ (fma (/ 1 t) (/ 2.0 z) (- 2.0)) (/ 2.0 t)) (fma (- 2.0) 1 (* 2.0 1))))
21.0ms
(+ (fma (/ 1 t) (/ 2.0 z) (- 2.0)) (/ 2.0 t))
1.0ms
(fma (/ 1 t) (/ 2.0 z) (- 2.0))

series274.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(+ (/ x y) (+ (+ (fma (/ 1 t) (/ 2.0 z) (- 2.0)) (/ 2.0 t)) (fma (- 2.0) 1 (* 2.0 1))))
63.0ms
(+ (fma (/ 1 t) (/ 2.0 z) (- 2.0)) (/ 2.0 t))
69.0ms
(fma (/ 1 t) (/ 2.0 z) (- 2.0))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: 2 (306.0ms)

IterNodesCost
01041462
13251290
213331042
done50001042

prune618.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 2.0 t) (- (pow (cbrt (/ 2.0 (* t z))) 3) 2.0))
0.6b
(pow (cbrt (/ 2.0 (* t z))) 3)
0.7b
(/ 2.0 (* t z))
9.2b
(cbrt (/ 2.0 (* t z)))

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
80×associate-+r+
78×prod-diff
74×*-un-lft-identity
69×add-sqr-sqrt add-cube-cbrt
63×cbrt-prod
40×unpow-prod-down cube-prod
39×times-frac
13×fma-def
11×div-inv
10×add-exp-log
9×add-cbrt-cube add-log-exp
5×pow1
4×expm1-log1p-u cube-mult unpow3 log1p-expm1-u sqr-pow
3×pow-unpow associate-/l*
2×cbrt-undiv cbrt-div pow-pow pow1/3 div-exp frac-add sum-log distribute-lft-out
1×+-commutative cube-div pow-to-exp associate-+r- sub-neg flip3-- frac-2neg flip3-+ diff-log pow-exp prod-exp clear-num associate-/r* flip-- cbrt-unprod flip-+ distribute-lft-out-- rem-cube-cbrt
Counts
4 → 194
Calls
4 calls:
274.0ms
(+ (/ 2.0 t) (- (pow (cbrt (/ 2.0 (* t z))) 3) 2.0))
12.0ms
(pow (cbrt (/ 2.0 (* t z))) 3)
13.0ms
(/ 2.0 (* t z))
8.0ms
(cbrt (/ 2.0 (* t z)))

series563.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(+ (/ 2.0 t) (- (pow (cbrt (/ 2.0 (* t z))) 3) 2.0))
244.0ms
(pow (cbrt (/ 2.0 (* t z))) 3)
40.0ms
(/ 2.0 (* t z))
173.0ms
(cbrt (/ 2.0 (* t z)))

simplify3.6s

Counts
206 → 206
Iterations

Useful iterations: 2 (967.0ms)

IterNodesCost
02853774
18402534
236992043
done50002043

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes484.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11515
done1515

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s10528×body80valid