Details

Time bar (total: 21.2s)

sample50.0ms

Algorithm
intervals
Results
21.0ms312×body80valid

simplify126.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
812011
912311
done12311

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.7b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite577.0ms

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:
13.0ms
(/ t (- 1.0 z))
74.0ms
(- (/ y z) (/ t (- 1.0 z)))
307.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series171.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ t (- 1.0 z))
56.0ms
(- (/ y z) (/ t (- 1.0 z)))
75.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.4s

Counts
936 → 936
Iterations

Useful iterations: done (2.3s)

IterNodesCost
0100949986
1222244988
done500039914

prune4.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
2.7b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
26.0ms
(/ 1 (- 1.0 z))
47.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
50.0ms
(* t (/ 1 (- 1.0 z)))
106.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series194.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 1 (- 1.0 z))
55.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
42.0ms
(* t (/ 1 (- 1.0 z)))
72.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify2.3s

Counts
197 → 197
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02843347
17023047
228802611
done50022519

prune978.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (- (* (/ t (- 1.0 z)) x)))
3.6b
(* (/ t (- 1.0 z)) x)
4.4b
(* x (/ y z))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
46×*-un-lft-identity
41×times-frac
32×add-cube-cbrt
24×associate-*l*
16×add-exp-log associate-*r* add-cbrt-cube
8×pow1 add-log-exp
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
3×cbrt-undiv div-exp div-inv associate-/l*
2×flip3-- associate-*r/ pow-prod-down associate-*l/ sum-log *-commutative flip--
1×+-commutative neg-sub0 associate-+r- fma-def frac-2neg flip3-+ unsub-neg neg-log frac-add clear-num flip-+ distribute-neg-frac
Counts
4 → 134
Calls
4 calls:
13.0ms
(/ t (- 1.0 z))
33.0ms
(+ (* x (/ y z)) (- (* (/ t (- 1.0 z)) x)))
43.0ms
(* (/ t (- 1.0 z)) x)
21.0ms
(* x (/ y z))

series256.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ t (- 1.0 z))
91.0ms
(+ (* x (/ y z)) (- (* (/ t (- 1.0 z)) x)))
71.0ms
(* (/ t (- 1.0 z)) x)
30.0ms
(* x (/ y z))

simplify2.1s

Counts
146 → 146
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02471617
16841521
233031392
done50001378

prune876.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.6b
(* (/ t (- 1.0 z)) x)
4.4b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
44×times-frac
37×*-un-lft-identity
31×add-cube-cbrt
30×add-exp-log
28×associate-*l*
25×associate-*r*
23×add-cbrt-cube
17×cbrt-prod
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv distribute-lft-out-- difference-of-squares
2×pow1/3 pow-prod-down associate-*l/ associate-/r/ *-commutative
1×frac-times flip3-- associate-*r/ flip--
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
48.0ms
(* (/ t (- 1.0 z)) x)
96.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series673.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt z)
244.0ms
(cbrt z)
68.0ms
(* (/ t (- 1.0 z)) x)
72.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify2.4s

Counts
141 → 141
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02421671
17061610
243781277
done50011271

prune819.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

10% (4.1b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 4.6b

bsearch110.0ms

Steps
ItersRangePoint
8
1.0087012069161284e-273
3.325840118882949e-269
1.0834205615823807e-270
10
-3.0689466920600157e-176
-1.3879598419715488e-186
-4.590722322618275e-182

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02958
14058
24458
done4458

end0.0ms

sample1.4s

Algorithm
intervals
Results
947.0ms10066×body80valid