Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

300×

body

valid

simplify64.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* y z))
4.4b	(* x (- 1.0 (* y z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

9.0ms	(- 1.0 (* y z))
29.0ms	(* x (- 1.0 (* y z)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(- 1.0 (* y z))
72.0ms	(* x (- 1.0 (* y z)))

simplify930.0ms

Counts: 42 → 42

prune104.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.4b

localize11.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

199.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series941.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))) (cbrt (- 1.0 (* y z)))))
324.0ms	(cbrt (- 1.0 (* y z)))
288.0ms	(cbrt (- 1.0 (* y z)))
264.0ms	(cbrt (- 1.0 (* y z)))

simplify645.0ms

Counts: 98 → 98

prune408.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.4b

localize13.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (* (* (cbrt (- 1.0 (* y z))) (* 1 (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z)))))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
52×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
22×	`add-exp-log`
18×	`pow1`
14×	`associate-*l/` `prod-exp`
12×	`add-cbrt-cube`
10×	`pow-prod-down` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`1-exp` `associate-r` `*-commutative`

Counts

4 → 90

Calls

4 calls:

415.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (* 1 (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z)))))
3.0ms	(cbrt (- 1.0 (* y z)))
7.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))

series901.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* x (* (* (cbrt (- 1.0 (* y z))) (* 1 (cbrt (- 1.0 (* y z))))) (cbrt (- 1.0 (* y z)))))
300.0ms	(cbrt (- 1.0 (* y z)))
250.0ms	(cbrt (- 1.0 (* y z)))
265.0ms	(cbrt (- 1.0 (* y z)))

simplify865.0ms

Counts: 102 → 102

prune389.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))
4.5b	(cbrt (- 1.0 (* y z)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

69.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))
5.0ms	(cbrt (- 1.0 (* y z)))

series966.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
291.0ms	(cbrt (- 1.0 (* y z)))
257.0ms	(cbrt (- 1.0 (* y z)))
282.0ms	(cbrt (- 1.0 (* y z)))

simplify1.4s

Counts: 78 → 78

prune380.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.4b

regimes284.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify61.0ms

end0.0ms

sample880.0ms

Algorithm

intervals

Results

416.0ms

9552×

body

valid