Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

302×

body

valid

simplify43.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	89
5	89
4	83
3	52
2	24
1	11
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.9b	(* (- 1.0 (* y z)) x)

rewrite14.0ms

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`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

13.0ms

(* (- 1.0 (* y z)) x)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* (- 1.0 (* y z)) x)

simplify588.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	510
1	121
0	49

prune166.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (fma (- y) z 1.0)) x))
4.0b	(cbrt (fma (- y) z 1.0))
4.0b	(cbrt (- 1.0 (* y z)))
4.0b	(cbrt (- 1.0 (* y z)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `cbrt-div` `add-exp-log`
10×	`add-cbrt-cube` `associate-*l/`
9×	`cbrt-prod`
8×	`flip3--` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`associate-*r/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 75

Calls

4 calls:

78.0ms	(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (fma (- y) z 1.0)) x))
1.0ms	(cbrt (fma (- y) z 1.0))
4.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

424.0ms	(* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (* (cbrt (fma (- y) z 1.0)) x))
372.0ms	(cbrt (fma (- y) z 1.0))
335.0ms	(cbrt (- 1.0 (* y z)))
364.0ms	(cbrt (- 1.0 (* y z)))

simplify961.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1703
1	450
0	167

prune707.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* (cbrt (fma (- y) z 1.0)) (cbrt (fma z (- y) 1.0))))
4.0b	(cbrt (fma z (- y) 1.0))
4.0b	(cbrt (fma (- y) z 1.0))
4.0b	(cbrt (- 1.0 (* y z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `pow1` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-div`
1×	`flip3--` `associate-r` `*-commutative` `flip--`

Counts

4 → 61

Calls

4 calls:

16.0ms	(* x (* (cbrt (fma (- y) z 1.0)) (cbrt (fma z (- y) 1.0))))
1.0ms	(cbrt (fma z (- y) 1.0))
1.0ms	(cbrt (fma (- y) z 1.0))
2.0ms	(cbrt (- 1.0 (* y z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

175.0ms	(* x (* (cbrt (fma (- y) z 1.0)) (cbrt (fma z (- y) 1.0))))
313.0ms	(cbrt (fma z (- y) 1.0))
322.0ms	(cbrt (fma (- y) z 1.0))
334.0ms	(cbrt (- 1.0 (* y z)))

simplify736.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1324
1	360
0	152

prune649.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.9b

localize56.0ms

Local error

Found 4 expressions with local error:

4.0b	(cbrt (fma (- y) z 1.0))
4.0b	(cbrt (fma (- y) z 1.0))
4.0b	(cbrt (fma (- y) z 1.0))
4.0b	(cbrt (- 1.0 (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3--` `flip--`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (fma (- y) z 1.0))
1.0ms	(cbrt (fma (- y) z 1.0))
1.0ms	(cbrt (fma (- y) z 1.0))
5.0ms	(cbrt (- 1.0 (* y z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

388.0ms	(cbrt (fma (- y) z 1.0))
348.0ms	(cbrt (fma (- y) z 1.0))
350.0ms	(cbrt (fma (- y) z 1.0))
381.0ms	(cbrt (- 1.0 (* y z)))

simplify656.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	897
1	225
0	95

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.9b

regimes495.0ms

Accuracy

0% (0.2b remaining)

Error of 3.7b against oracle of 3.5b and baseline of 3.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample966.0ms

Algorithm

intervals

Results

438.0ms

9608×

body

valid