Details

Time bar (total: 20.3s)

sample41.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.7s)

IterNodesCost
01317
12517
25917
313917
434117
572015
6248613
done500013

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
5.2b
(/ (* z z) y)
7.5b
(/ z (- (/ (* z z) y) (/ t 2.0)))

rewrite115.0ms

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:
60.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
10.0ms
(/ (* z z) y)
42.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

series138.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- x (/ z (- (/ (* z z) y) (/ t 2.0))))
24.0ms
(/ (* z z) y)
47.0ms
(/ z (- (/ (* z z) y) (/ t 2.0)))

simplify1.9s

Counts
95 → 95
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01701536
13401467
28371395
323131395
done50001389

prune290.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
0.7b
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
79×times-frac
46×*-un-lft-identity
27×difference-of-squares
18×add-cube-cbrt
11×associate-/r*
10×distribute-lft-out--
6×add-exp-log
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r/ associate-/l*
2×flip3-- div-exp flip-- div-inv
1×cbrt-undiv sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp clear-num frac-sub inv-pow
Counts
2 → 83
Calls
2 calls:
165.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
120.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- x (/ 1 (- (/ z y) (/ (/ t 2.0) z))))
34.0ms
(/ 1 (- (/ z y) (/ (/ t 2.0) z)))

simplify3.2s

Counts
89 → 89
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
01571751
12991583
25581537
312971535
444181534
done50011534

prune174.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
0.2b
(/ z (/ y z))
7.5b
(/ z (- (/ z (/ y z)) (/ t 2.0)))

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
150×add-sqr-sqrt
87×*-un-lft-identity
61×add-cube-cbrt
26×difference-of-squares
24×associate-/r*
10×add-exp-log add-cbrt-cube
9×distribute-lft-out--
6×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/r/
3×pow1
2×flip3-- frac-2neg clear-num flip--
1×sub-neg diff-log frac-sub
Counts
3 → 147
Calls
3 calls:
199.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
9.0ms
(/ z (/ y z))
110.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- x (/ z (- (/ z (/ y z)) (/ t 2.0))))
41.0ms
(/ z (/ y z))
63.0ms
(/ z (- (/ z (/ y z)) (/ t 2.0)))

simplify2.5s

Counts
156 → 156
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02802563
15592418
217852256
done50002238

prune564.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
4.1b
(* (/ 1 (* (cbrt y) (cbrt y))) (/ z (/ (cbrt y) z)))
7.5b
(/ z (- (* (/ 1 (* (cbrt y) (cbrt y))) (/ z (/ (cbrt y) z))) (/ t 2.0)))

rewrite265.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac
113×add-sqr-sqrt
84×add-exp-log
82×*-un-lft-identity
78×add-cube-cbrt
71×associate-*r*
36×cbrt-prod
34×div-exp
33×add-cbrt-cube
30×prod-exp
16×cbrt-undiv
12×cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1 rec-exp 1-exp associate-/r/ div-inv
4×add-log-exp
3×associate-/r* frac-sub associate-/l*
2×frac-times pow1/3 associate-*r/ associate-*l/
1×flip3-- frac-2neg pow-prod-down clear-num *-commutative flip--
Counts
4 → 186
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
101.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (/ z (/ (cbrt y) z)))
152.0ms
(/ z (- (* (/ 1 (* (cbrt y) (cbrt y))) (/ z (/ (cbrt y) z))) (/ t 2.0)))

series942.0ms

Counts
4 → 12
Calls
4 calls:
367.0ms
(cbrt y)
369.0ms
(cbrt y)
83.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (/ z (/ (cbrt y) z)))
122.0ms
(/ z (- (* (/ 1 (* (cbrt y) (cbrt y))) (/ z (/ (cbrt y) z))) (/ t 2.0)))

simplify2.8s

Counts
198 → 198
Iterations

Useful iterations: done (2.8s)

IterNodesCost
03543790
110113267
238492351
done50012043

prune881.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes88.0ms

Accuracy

40.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.7b

bsearch93.0ms

Steps
ItersRangePoint
10
-1.0874614650299856e-25
-2.821563195471461e-41
-4.029370566057221e-26

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02745
13445
done3445

end0.0ms

sample1.3s

Algorithm
intervals
Results
831.0ms8000×body80valid