Details

Time bar (total: 28.4s)

sample44.0ms

Algorithm
intervals
Results
16.0ms280×body80valid

simplify7.7s

Counts
1 → 1
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
01011
11711
23511
36310
410610
517910
632910
766010
8129510
9252510
done500010

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
1.5b
(fma (/ (- y z) (- a z)) t x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
37.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series213.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(/ (- y z) (- a z))
133.0ms
(fma (/ (- y z) (- a z)) t x)

simplify2.7s

Counts
70 → 70
Iterations

Useful iterations: 3 (874.0ms)

IterNodesCost
0113884
1264856
2826810
34309808
done5000808

prune490.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.3b
(* (- y z) (/ 1 (- a z)))
1.5b
(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 105
Calls
3 calls:
19.0ms
(/ 1 (- a z))
96.0ms
(* (- y z) (/ 1 (- a z)))
1.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

series257.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ 1 (- a z))
81.0ms
(* (- y z) (/ 1 (- a z)))
121.0ms
(fma (* (- y z) (/ 1 (- a z))) t x)

simplify6.2s

Counts
114 → 114
Iterations

Useful iterations: 2 (659.0ms)

IterNodesCost
01491251
13561101
22788924
done5001924

prune701.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
7.0ms
(cbrt (- a z))
8.0ms
(cbrt (- a z))
9.0ms
(cbrt (- a z))
1.0ms
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

series819.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt (- a z))
220.0ms
(cbrt (- a z))
236.0ms
(cbrt (- a z))
140.0ms
(fma (* (- y z) (* (/ 1 (* (cbrt (- a z)) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

simplify1.4s

Counts
73 → 73
Iterations

Useful iterations: done (1.4s)

IterNodesCost
095943
1198925
2533829
32031672
done5001614

prune702.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.5b
(fma (* (- y z) (* (/ 1 (* (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
8.0ms
(cbrt (- a z))
6.0ms
(cbrt (- a z))
7.0ms
(cbrt (- a z))
1.0ms
(fma (* (- y z) (* (/ 1 (* (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

series855.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt (- a z))
232.0ms
(cbrt (- a z))
255.0ms
(cbrt (- a z))
139.0ms
(fma (* (- y z) (* (/ 1 (* (* (cbrt (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (cbrt (- a z)))) (cbrt (- a z)))) (/ 1 (cbrt (- a z))))) t x)

simplify2.6s

Counts
73 → 73
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0971099
12051081
2559961
32420903
done5002867

prune813.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes845.0ms

Accuracy

65.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.7b

bsearch131.0ms

Steps
ItersRangePoint
8
5.813812472846055e-98
9.008238429849715e-95
5.610520990258272e-96
8
-7.79023052105148e-54
-1.356648374405599e-56
-1.3968702923314023e-55

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01839
12330
done2330

end0.0ms

sample1.6s

Algorithm
intervals
Results
776.0ms8691×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid