Details

Time bar (total: 21.0s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.6s)

IterNodesCost
01317
12517
25917
313917
434117
572015
6248613
done500013

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
8.3b
(/ (* z z) y)
10.7b
(/ z (- (/ (* z z) y) (/ t 2.0)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
44×times-frac
28×*-un-lft-identity
18×add-cube-cbrt difference-of-squares
11×associate-/r*
10×add-exp-log add-cbrt-cube
5×distribute-lft-out-- add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv div-exp associate-/r/
2×flip3-- frac-2neg clear-num flip-- div-inv
1×sub-neg diff-log prod-exp frac-sub cbrt-unprod
Counts
3 → 86
Calls
3 calls:
62.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
10.0ms
(/ (* z z) y)
64.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
23.0ms
(/ (* z z) y)
63.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

simplify1.9s

Counts
95 → 95
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01701536
13401467
28371395
323131395
done50001389

prune299.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
0.0b
(- (/ z y) (/ (/ t 2.0) z))
1.0b
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
131×add-sqr-sqrt
90×times-frac
53×*-un-lft-identity
33×difference-of-squares
19×add-cube-cbrt
12×distribute-lft-out--
11×associate-/r*
7×add-exp-log add-log-exp
5×add-cbrt-cube
4×pow1
3×flip3-- associate-/r/ flip-- associate-/l*
2×sub-neg diff-log div-exp frac-sub div-inv
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num inv-pow
Counts
3 → 104
Calls
3 calls:
169.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
58.0ms
(- (/ z y) (/ (/ t 2.0) z))
108.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
62.0ms
(- (/ z y) (/ (/ t 2.0) z))
51.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

simplify3.8s

Counts
113 → 113
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
01712151
13301976
26341912
314581910
446711909
done50011909

prune342.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (* (cbrt (- (/ z y) (/ (/ t 2.0) z))) (cbrt (- (/ z y) (/ (/ t 2.0) z)))))
14.6b
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
14.6b
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
14.6b
(cbrt (- (/ z y) (/ (/ t 2.0) z)))

rewrite377.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
36×times-frac
33×cbrt-prod cbrt-div
27×*-un-lft-identity
18×difference-of-squares
15×add-exp-log associate-/r/
12×pow1
11×flip3-- frac-sub flip--
9×frac-times add-cube-cbrt pow-flip pow1/3
7×add-cbrt-cube
6×distribute-lft-out--
4×div-exp add-log-exp
3×associate-*r/ associate-*l/ prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
Counts
4 → 116
Calls
4 calls:
241.0ms
(/ 1 (* (cbrt (- (/ z y) (/ (/ t 2.0) z))) (cbrt (- (/ z y) (/ (/ t 2.0) z)))))
40.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
37.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
49.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(/ 1 (* (cbrt (- (/ z y) (/ (/ t 2.0) z))) (cbrt (- (/ z y) (/ (/ t 2.0) z)))))
139.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
136.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
114.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))

simplify1.7s

Counts
128 → 128
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01992714
13872551
27932389
319492312
done50002282

prune709.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (cbrt (- (/ z y) (/ (/ t 2.0) z))) -2) (/ 1 (cbrt (- (/ z y) (/ (/ t 2.0) z)))))
0.5b
(pow (cbrt (- (/ z y) (/ (/ t 2.0) z))) -2)
14.6b
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
14.6b
(cbrt (- (/ z y) (/ (/ t 2.0) z)))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
223×add-sqr-sqrt
135×times-frac
90×cbrt-prod
83×*-un-lft-identity
49×associate-*r*
42×difference-of-squares
38×unpow-prod-down
33×add-cube-cbrt
28×add-exp-log
20×unswap-sqr
18×associate-*l*
14×distribute-lft-out--
12×prod-exp
9×cbrt-div
8×add-cbrt-cube
7×sqr-pow
6×pow1 div-exp
5×pow-to-exp pow-exp
4×add-log-exp
3×rec-exp pow-unpow flip3-- pow1/3 1-exp associate-/r/ frac-sub flip--
2×pow-pow pow-prod-up cbrt-unprod
1×cbrt-undiv pow-flip associate-*r/ un-div-inv *-commutative div-inv inv-pow
Counts
4 → 186
Calls
4 calls:
709.0ms
(* (pow (cbrt (- (/ z y) (/ (/ t 2.0) z))) -2) (/ 1 (cbrt (- (/ z y) (/ (/ t 2.0) z)))))
540.0ms
(pow (cbrt (- (/ z y) (/ (/ t 2.0) z))) -2)
52.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
83.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))

series479.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (pow (cbrt (- (/ z y) (/ (/ t 2.0) z))) -2) (/ 1 (cbrt (- (/ z y) (/ (/ t 2.0) z)))))
164.0ms
(pow (cbrt (- (/ z y) (/ (/ t 2.0) z))) -2)
129.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))
139.0ms
(cbrt (- (/ z y) (/ (/ t 2.0) z)))

simplify1.9s

Counts
198 → 198
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03075313
17064896
215984322
done50004096

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes166.0ms

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
01213
11413
done1413

end0.0ms

sample1.2s

Algorithm
intervals
Results
750.0ms8000×body80valid