Details

Time bar (total: 11.1s)

sample23.0ms

Algorithm
intervals
Results
11.0ms316×body80valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
34011
46011
57811
69311
710911
811611
911911
done11911

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
2.8b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite297.0ms

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:
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
153.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- (/ y z) (/ t (- 1.0 z)))
38.0ms
(/ t (- 1.0 z))
46.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.0s

Counts
936 → 936
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0100949986
1161744871
2373733786
done500133543

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
2.8b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite80.0ms

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:
13.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(/ 1 (- 1.0 z))
18.0ms
(* t (/ 1 (- 1.0 z)))
35.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series146.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
23.0ms
(/ 1 (- 1.0 z))
39.0ms
(* t (/ 1 (- 1.0 z)))
50.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify2.1s

Counts
197 → 197
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02843347
16222768
215242527
346992350
done50002350

prune416.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.8b
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z)) (- (/ t (- 1.0 z)))))
9.7b
(cbrt (/ y z))
9.7b
(cbrt (/ y z))
9.7b
(cbrt (/ y z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 associate-*r* associate-*l* div-inv
2×fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
3.0ms
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z)) (- (/ t (- 1.0 z)))))
1.0ms
(cbrt (/ y z))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series337.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (cbrt (/ y z)) (- (/ t (- 1.0 z)))))
66.0ms
(cbrt (/ y z))
60.0ms
(cbrt (/ y z))
64.0ms
(cbrt (/ y z))

simplify1.3s

Counts
106 → 106
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01311417
12331380
25311078
31585981
done5001979

prune381.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
2.8b
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))
9.7b
(cbrt (/ y z))
9.7b
(cbrt (/ y z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac
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*
2×cbrt-div fma-udef div-inv
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 83
Calls
4 calls:
0.0ms
(cbrt y)
3.0ms
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))
1.0ms
(cbrt (/ y z))
2.0ms
(cbrt (/ y z))

series434.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt y)
143.0ms
(* x (fma (* (cbrt (/ y z)) (cbrt (/ y z))) (/ (cbrt y) (cbrt z)) (- (/ t (- 1.0 z)))))
57.0ms
(cbrt (/ y z))
61.0ms
(cbrt (/ y z))

simplify976.0ms

Counts
95 → 95
Iterations

Useful iterations: 3 (286.0ms)

IterNodesCost
01491268
12711237
26511107
321191082
done50011082

prune397.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (4.7b remaining)

Error of 4.8b against oracle of 0.1b and baseline of 4.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11613
done1613

end0.0ms

sample561.0ms

Algorithm
intervals
Results
307.0ms10012×body80valid