Details

Time bar (total: 24.6s)

sample49.0ms

Algorithm
intervals
Results
22.0ms317×body80valid

simplify195.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite557.0ms

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:
22.0ms
(/ t (- 1.0 z))
81.0ms
(- (/ y z) (/ t (- 1.0 z)))
295.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series199.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ t (- 1.0 z))
63.0ms
(- (/ y z) (/ t (- 1.0 z)))
81.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.4s

Counts
936 → 936
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0100949986
1165444871
2350833786
done500033785

prune2.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.9b
(* x (- (/ y z) (/ t (- 1.0 z))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite647.0ms

Algorithm
rewrite-expression-head
Rules
776×times-frac
704×add-sqr-sqrt
701×*-un-lft-identity
546×prod-diff
534×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
82×distribute-lft-out-- difference-of-squares
68×div-inv
52×associate-/r/
30×flip3-- flip--
12×associate-*r/
10×associate-*r*
9×cbrt-div
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u frac-sub log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l*
2×sub-neg
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 622
Calls
4 calls:
321.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
63.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
69.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
80.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
102.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
344.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
423.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
386.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify3.8s

Counts
634 → 634
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0100934603
1164131183
2345623696
done500020593

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

3.9b
(* (fma (* (cbrt y) (cbrt y)) (/ (cbrt y) z) (- (/ t (- 1.0 z)))) x)
7.2b
(cbrt (+ (* (fma (* (cbrt y) (cbrt y)) (/ (cbrt y) z) (- (/ t (- 1.0 z)))) x) (* (* (/ t (- 1.0 z)) 0) x)))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×cbrt-div
7×add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log cbrt-prod associate-*r/ add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×flip3-- frac-sub flip--
1×distribute-rgt-out flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 64
Calls
4 calls:
8.0ms
(* (fma (* (cbrt y) (cbrt y)) (/ (cbrt y) z) (- (/ t (- 1.0 z)))) x)
5.0ms
(cbrt (+ (* (fma (* (cbrt y) (cbrt y)) (/ (cbrt y) z) (- (/ t (- 1.0 z)))) x) (* (* (/ t (- 1.0 z)) 0) x)))
43.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
69.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.7s

Counts
4 → 12
Calls
4 calls:
221.0ms
(* (fma (* (cbrt y) (cbrt y)) (/ (cbrt y) z) (- (/ t (- 1.0 z)))) x)
784.0ms
(cbrt (+ (* (fma (* (cbrt y) (cbrt y)) (/ (cbrt y) z) (- (/ t (- 1.0 z)))) x) (* (* (/ t (- 1.0 z)) 0) x)))
320.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
354.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify3.1s

Counts
76 → 76
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01922105
14551825
212451604
338081560
done50001560

prune784.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite443.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 105
Calls
4 calls:
282.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
43.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
55.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
58.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series881.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
233.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
221.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
221.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify1.7s

Counts
117 → 117
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01952612
14282518
29762353
324272267
done50002228

prune617.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes547.0ms

Accuracy

61.6% (2.2b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 5.7b

bsearch2.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
034107
15094
25494
35594
done5594

end0.0ms

sample1.2s

Algorithm
intervals
Results
574.0ms10058×body80valid