Details

Time bar (total: 19.9s)

sample25.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify5.8s

Counts
1 → 1
Iterations
IterNodes
done5000
92492
81293
7674
6329
5179
4106
363
235
117
010

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
2.2b
(fma (- y z) (/ t (- a z)) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ t (- a z))
0.0ms
(fma (- y z) (/ t (- a z)) x)

series137.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ t (- a z))
90.0ms
(fma (- y z) (/ t (- a z)) x)

simplify1.3s

Counts
55 → 55
Iterations
IterNodes
done5000
31511
2446
1176
092

prune390.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* t (/ 1 (- a z)))
2.2b
(fma (- y z) (* t (/ 1 (- a z))) x)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod div-inv flip--
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef pow-flip inv-pow
Counts
3 → 99
Calls
3 calls:
21.0ms
(/ 1 (- a z))
42.0ms
(* t (/ 1 (- a z)))
0.0ms
(fma (- y z) (* t (/ 1 (- a z))) x)

series238.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(/ 1 (- a z))
40.0ms
(* t (/ 1 (- a z)))
135.0ms
(fma (- y z) (* t (/ 1 (- a z))) x)

simplify1000.0ms

Counts
108 → 108
Iterations
IterNodes
done5001
21125
1309
0132

prune731.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- a z)))
0.6b
(cbrt (/ 1 (- a z)))
0.6b
(cbrt (/ 1 (- a z)))
2.2b
(fma (- y z) (* (* t (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 div-inv flip--
1×fma-udef
Counts
4 → 106
Calls
4 calls:
10.0ms
(cbrt (/ 1 (- a z)))
10.0ms
(cbrt (/ 1 (- a z)))
8.0ms
(cbrt (/ 1 (- a z)))
0.0ms
(fma (- y z) (* (* t (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

series913.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt (/ 1 (- a z)))
313.0ms
(cbrt (/ 1 (- a z)))
194.0ms
(cbrt (/ 1 (- a z)))
102.0ms
(fma (- y z) (* (* t (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

simplify2.1s

Counts
118 → 118
Iterations
IterNodes
done5000
32029
2605
1254
0141

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- a z)))
0.6b
(cbrt (cbrt (/ 1 (- a z))))
0.6b
(cbrt (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))))
2.2b
(fma (- y z) (* (* t (* (* (cbrt (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
67×cbrt-prod
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
23×add-cube-cbrt
10×cbrt-div
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- div-inv flip--
1×frac-times associate-*l/ associate-*r/ fma-udef
Counts
4 → 91
Calls
4 calls:
11.0ms
(cbrt (/ 1 (- a z)))
6.0ms
(cbrt (cbrt (/ 1 (- a z))))
15.0ms
(cbrt (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))))
0.0ms
(fma (- y z) (* (* t (* (* (cbrt (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

series842.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt (/ 1 (- a z)))
281.0ms
(cbrt (cbrt (/ 1 (- a z))))
212.0ms
(cbrt (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z)))))
133.0ms
(fma (- y z) (* (* t (* (* (cbrt (* (cbrt (/ 1 (- a z))) (cbrt (/ 1 (- a z))))) (cbrt (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z))))) (cbrt (/ 1 (- a z)))) x)

simplify2.3s

Counts
103 → 103
Iterations
IterNodes
done5001
33849
21060
1429
0238

prune904.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes717.0ms

Accuracy

76.1% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.2b

bsearch3.0ms

simplify8.0ms

Iterations
IterNodes
done28
128
020

end0.0ms

sample1.1s

Algorithm
intervals
Results
551.0ms8708×body80valid
0.0ms1×body640valid
0.0ms1×body160valid