Details

Time bar (total: 18.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify107.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
811911
912211
done12211

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
51.0ms
(- (/ y z) (/ t (- 1.0 z)))
10.0ms
(/ t (- 1.0 z))
182.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series128.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
53.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.0s

Counts
936 → 936
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0100949986
1165444871
2350733786
done500033785

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.0b
(/ (- 1.0 z) t)
0.4b
(/ 1 (/ (- 1.0 z) t))
4.1b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite861.0ms

Algorithm
rewrite-expression-head
Rules
5831×times-frac
4016×add-sqr-sqrt
3970×*-un-lft-identity
3214×add-cube-cbrt
2418×prod-diff
808×distribute-rgt-in distribute-lft-in
387×difference-of-squares
373×distribute-lft-out--
351×div-inv
40×associate-/r/
22×associate-/r*
19×add-exp-log
16×associate-*r*
13×fma-neg add-cbrt-cube
8×div-exp associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×rec-exp frac-2neg 1-exp clear-num frac-sub associate-/l/
1×pow-flip diff-log div-sub pow-prod-down prod-exp *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 2641
Calls
4 calls:
89.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
18.0ms
(/ (- 1.0 z) t)
16.0ms
(/ 1 (/ (- 1.0 z) t))
374.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series165.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
34.0ms
(/ (- 1.0 z) t)
28.0ms
(/ 1 (/ (- 1.0 z) t))
61.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify5.3s

Counts
2653 → 2653
Iterations

Useful iterations: done (5.1s)

IterNodesCost
02671186774
14256145944
done5000130691

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.1b
(* (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (/ (- t) (- 1.0 z))) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
3.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
7.0ms
(* (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (/ (- t) (- 1.0 z))) x)

series784.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt z)
187.0ms
(cbrt z)
178.0ms
(cbrt z)
227.0ms
(* (fma (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (/ (cbrt y) (cbrt z)) (/ (- t) (- 1.0 z))) x)

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0116982
1247955
2649781
32300581
done5002544

prune282.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (- 1.0 z) t))
5.5b
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
5.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
152×times-frac
144×add-sqr-sqrt
120×*-un-lft-identity
63×add-cube-cbrt
36×cbrt-prod
30×difference-of-squares
23×distribute-lft-out--
19×associate-/r*
15×add-exp-log
9×cbrt-div add-cbrt-cube
7×div-exp
6×div-inv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- pow1/3 frac-sub flip-- associate-/l*
2×rec-exp 1-exp
1×pow-flip frac-2neg clear-num associate-/r/ inv-pow
Counts
4 → 177
Calls
4 calls:
16.0ms
(/ 1 (/ (- 1.0 z) t))
54.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
29.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
32.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1 (/ (- 1.0 z) t))
148.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
151.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
146.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify2.0s

Counts
189 → 189
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03543349
17502960
214642651
335052566
done50012534

prune467.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

74.8% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 4.7b

bsearch1.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042133
156133
260133
361133
done61133

end0.0ms

sample641.0ms

Algorithm
intervals
Results
292.0ms10049×body80valid