Details

Time bar (total: 16.9s)

sample39.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 6 (2.0s)

IterNodesCost
01317
12617
26117
314717
435217
576815
6260113
done500013

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

3.1b
(fma (/ t z) (- (/ y 2.0)) z)
5.0b
(/ y (fma (/ t z) (- (/ y 2.0)) z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
8.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

series180.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(fma (/ t z) (- (/ y 2.0)) z)
111.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

simplify1.6s

Counts
45 → 45
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
067697
1113688
2247626
3575625
41846625
done5001625

prune174.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

3.1b
(fma (/ t z) (- (/ y 2.0)) z)
10.7b
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
10.7b
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
10.7b
(cbrt (fma (/ t z) (- (/ y 2.0)) z))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
1.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
1.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
1.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))

series1.4s

Counts
4 → 12
Calls
4 calls:
61.0ms
(fma (/ t z) (- (/ y 2.0)) z)
446.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
447.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))
428.0ms
(cbrt (fma (/ t z) (- (/ y 2.0)) z))

simplify1.3s

Counts
61 → 61
Iterations

Useful iterations: done (1.3s)

IterNodesCost
071926
1147908
2392824
31382806
done5000785

prune399.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (* t y) z) 2.0)
0.7b
(/ 1 (/ (- z (/ (/ (* t y) z) 2.0)) y))
2.9b
(/ (* t y) z)
4.8b
(/ (- z (/ (/ (* t y) z) 2.0)) y)

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
208×times-frac
176×add-sqr-sqrt
128×*-un-lft-identity
96×add-cube-cbrt
32×difference-of-squares
31×add-exp-log associate-/r*
25×add-cbrt-cube
17×associate-/l*
16×distribute-lft-out--
15×div-exp
12×div-inv
11×cbrt-undiv
5×pow1
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×associate-/l/
2×rec-exp 1-exp prod-exp cbrt-unprod
1×flip3-- pow-flip div-sub associate-/r/ flip-- inv-pow
Counts
4 → 231
Calls
4 calls:
23.0ms
(/ (/ (* t y) z) 2.0)
56.0ms
(/ 1 (/ (- z (/ (/ (* t y) z) 2.0)) y))
16.0ms
(/ (* t y) z)
105.0ms
(/ (- z (/ (/ (* t y) z) 2.0)) y)

series216.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (/ (* t y) z) 2.0)
62.0ms
(/ 1 (/ (- z (/ (/ (* t y) z) 2.0)) y))
35.0ms
(/ (* t y) z)
82.0ms
(/ (- z (/ (/ (* t y) z) 2.0)) y)

simplify1.6s

Counts
243 → 243
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03354545
17704154
218623779
done50003741

prune618.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ z y) (* 0.5 (/ t z)))
0.0b
(* 0.5 (/ t z))
0.7b
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×times-frac
33×add-cube-cbrt *-un-lft-identity
13×fma-neg associate-*r* prod-diff
12×add-exp-log
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-inv
3×expm1-log1p-u associate-*r/ div-exp associate-*l* associate-/r* associate-/r/ log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp pow-prod-down clear-num *-commutative inv-pow
Counts
3 → 111
Calls
3 calls:
27.0ms
(- (/ z y) (* 0.5 (/ t z)))
18.0ms
(* 0.5 (/ t z))
38.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

series100.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (/ z y) (* 0.5 (/ t z)))
21.0ms
(* 0.5 (/ t z))
39.0ms
(/ 1 (- (/ z y) (* 0.5 (/ t z))))

simplify2.7s

Counts
120 → 120
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01801592
13981502
210201371
331681335
done50001232

prune371.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8000×body80valid