Details

Time bar (total: 10.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms344×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
06123
114123
22398
32898
done2898

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize7.0ms

Local error

Found 1 expressions with local error:

4.3b
(* (fma y y 1.0) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
11.0ms
(* (fma y y 1.0) x)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (fma y y 1.0) x)

simplify2.9s

Counts
23 → 23
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0394362
1773663
22773463
325653463
done50003463

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (fma y y 1.0)) x)
0.1b
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*l*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 77
Calls
4 calls:
8.0ms
(* (sqrt (fma y y 1.0)) x)
22.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series260.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (sqrt (fma y y 1.0)) x)
46.0ms
(* (sqrt (fma y y 1.0)) (* (sqrt (fma y y 1.0)) x))
54.0ms
(sqrt (fma y y 1.0))
66.0ms
(sqrt (fma y y 1.0))

simplify1.1s

Counts
89 → 89
Iterations

Useful iterations: done (1.1s)

IterNodesCost
010321408
125017919
2103616090
done500115940

prune417.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
13×add-sqr-sqrt
12×pow1
10×*-un-lft-identity add-cube-cbrt
9×add-cbrt-cube associate-*l* add-exp-log
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp cbrt-unprod
1×associate-*r* *-commutative
Counts
4 → 71
Calls
4 calls:
22.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series594.0ms

Counts
4 → 12
Calls
4 calls:
363.0ms
(* (sqrt (sqrt (fma y y 1.0))) (* (sqrt (fma y y 1.0)) x))
80.0ms
(sqrt (fma y y 1.0))
75.0ms
(sqrt (fma y y 1.0))
75.0ms
(sqrt (fma y y 1.0))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011322374
127518280
2104717809
done500017549

prune480.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.5b

localize30.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (* (sqrt (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0))) x)
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))
4.3b
(sqrt (fma y y 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-sqr-sqrt
9×add-cbrt-cube add-exp-log sqrt-prod
8×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 65
Calls
4 calls:
43.0ms
(* (* (sqrt (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0))) x)
1.0ms
(sqrt (fma y y 1.0))
2.0ms
(sqrt (fma y y 1.0))
1.0ms
(sqrt (fma y y 1.0))

series578.0ms

Counts
4 → 12
Calls
4 calls:
409.0ms
(* (* (sqrt (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0))) x)
54.0ms
(sqrt (fma y y 1.0))
52.0ms
(sqrt (fma y y 1.0))
62.0ms
(sqrt (fma y y 1.0))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.0s)

IterNodesCost
011120787
127616692
2124416181
done500116041

prune467.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.5b

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 5.3b against oracle of 5.3b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0598
1698
done698

end0.0ms

sample502.0ms

Algorithm
intervals
Results
290.0ms10708×body80valid