Details

Time bar (total: 14.3s)

sample26.0ms

Algorithm
intervals
Results
10.0ms348×body80valid

simplify819.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (58.0ms)

IterNodesCost
099
1169
2329
3679
41489
52448
63298
74108
84778
96048
106208
done6208

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) a)
5.1b
(fma (/ (- t z) a) y x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
associate-/r*
pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
9.0ms
(/ (- t z) a)
1.0ms
(fma (/ (- t z) a) y x)

series90.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- t z) a)
54.0ms
(fma (/ (- t z) a) y x)

simplify2.1s

Counts
56 → 56
Iterations

Useful iterations: 4 (755.0ms)

IterNodesCost
095558
1194536
2432500
31086490
43091489
done5000489

prune172.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- t z))
0.5b
(/ 1 (/ a (- t z)))
5.1b
(fma (/ 1 (/ a (- t z))) y x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
div-exp
div-inv associate-/l*
flip3-- flip--
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num
pow-flip fma-udef inv-pow
Counts
3 → 159
Calls
3 calls:
5.0ms
(/ a (- t z))
10.0ms
(/ 1 (/ a (- t z)))
0.0ms
(fma (/ 1 (/ a (- t z))) y x)

series126.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ a (- t z))
35.0ms
(/ 1 (/ a (- t z)))
55.0ms
(fma (/ 1 (/ a (- t z))) y x)

simplify3.3s

Counts
168 → 168
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02282280
14792003
212221704
330031642
done50001641

prune342.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.3b
(/ (/ 1 a) (/ 1 (- t z)))
5.1b
(fma (/ (/ 1 a) (/ 1 (- t z))) y x)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
385×add-sqr-sqrt *-un-lft-identity
293×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
26×associate-/r*
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
cbrt-undiv rec-exp 1-exp
pow1
expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num
pow-flip fma-udef associate-/l/ inv-pow
Counts
3 → 394
Calls
3 calls:
6.0ms
(/ 1 (- t z))
17.0ms
(/ (/ 1 a) (/ 1 (- t z)))
1.0ms
(fma (/ (/ 1 a) (/ 1 (- t z))) y x)

series121.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ 1 (- t z))
33.0ms
(/ (/ 1 a) (/ 1 (- t z)))
48.0ms
(fma (/ (/ 1 a) (/ 1 (- t z))) y x)

simplify3.2s

Counts
403 → 403
Iterations

Useful iterations: 2 (2.4s)

IterNodesCost
05548341
116046744
239415168
done50005168

prune437.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
5.1b
(fma (/ (/ (- t z) (* (cbrt a) (cbrt a))) (cbrt a)) y x)

rewrite3.0ms

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

series660.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt a)
186.0ms
(cbrt a)
183.0ms
(cbrt a)
89.0ms
(fma (/ (/ (- t z) (* (cbrt a) (cbrt a))) (cbrt a)) y x)

simplify1.7s

Counts
61 → 61
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
051446
191434
2203342
3554290
42976290
done5001290

prune201.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

88.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 6.0b

bsearch63.0ms

Steps
ItersRangePoint
6
3.934266884602297e+28
2.619816065745984e+29
6.630974201974975e+28
5
-6.124320340976488e+51
-2.016026759249691e+51
-2.055217519862943e+51

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02439
12939
done2939

end0.0ms

sample640.0ms

Algorithm
intervals
Results
314.0ms10761×body80valid