Details

sample108.0ms

Algorithm

intervals

Results

53.0ms

617×

body

valid

simplify85.0ms

Counts: 1 → 1

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
3.6b	(* j (- (* c t) (* i y)))
5.2b	(* x (- (* y z) (* t a)))
6.0b	(* b (- (* c z) (* i a)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

8.0ms	(- (* c t) (* i y))
28.0ms	(* j (- (* c t) (* i y)))
48.0ms	(* x (- (* y z) (* t a)))
43.0ms	(* b (- (* c z) (* i a)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* c t) (* i y))
84.0ms	(* j (- (* c t) (* i y)))
90.0ms	(* x (- (* y z) (* t a)))
88.0ms	(* b (- (* c z) (* i a)))

simplify39.0ms

Counts: 96 → 96

prune534.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.1b

localize60.0ms

Local error

Found 4 expressions with local error:

6.0b	(* b (- (* c z) (* i a)))
6.5b	(cbrt (* b (- (* c z) (* i a))))
6.5b	(cbrt (* b (- (* c z) (* i a))))
6.5b	(cbrt (* b (- (* c z) (* i a))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

53.0ms	(* b (- (* c z) (* i a)))
12.0ms	(cbrt (* b (- (* c z) (* i a))))
11.0ms	(cbrt (* b (- (* c z) (* i a))))
16.0ms	(cbrt (* b (- (* c z) (* i a))))

series726.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* b (- (* c z) (* i a)))
223.0ms	(cbrt (* b (- (* c z) (* i a))))
203.0ms	(cbrt (* b (- (* c z) (* i a))))
190.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify95.0ms

Counts: 69 → 69

prune633.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.1b

localize54.0ms

Local error

Found 4 expressions with local error:

6.0b	(* b (- (* c z) (* i a)))
6.5b	(cbrt (* b (- (* c z) (* i a))))
6.5b	(cbrt (* b (- (* c z) (* i a))))
8.2b	(cbrt (- (* c z) (* i a)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

31.0ms	(* b (- (* c z) (* i a)))
11.0ms	(cbrt (* b (- (* c z) (* i a))))
11.0ms	(cbrt (* b (- (* c z) (* i a))))
6.0ms	(cbrt (- (* c z) (* i a)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* b (- (* c z) (* i a)))
189.0ms	(cbrt (* b (- (* c z) (* i a))))
195.0ms	(cbrt (* b (- (* c z) (* i a))))
170.0ms	(cbrt (- (* c z) (* i a)))

simplify88.0ms

Counts: 71 → 71

prune721.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 7.1b

localize73.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (* b (- (* c z) (* i a))))
8.2b	(cbrt (- (* c z) (* i a)))
8.2b	(cbrt (- (* c z) (* i a)))
8.2b	(cbrt (- (* c z) (* i a)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
8×	`cbrt-div`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`associate-*r/`

Counts

4 → 50

Calls

4 calls:

11.0ms	(cbrt (* b (- (* c z) (* i a))))
6.0ms	(cbrt (- (* c z) (* i a)))
26.0ms	(cbrt (- (* c z) (* i a)))
7.0ms	(cbrt (- (* c z) (* i a)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (* b (- (* c z) (* i a))))
230.0ms	(cbrt (- (* c z) (* i a)))
211.0ms	(cbrt (- (* c z) (* i a)))
179.0ms	(cbrt (- (* c z) (* i a)))

simplify60.0ms

Counts: 62 → 62

prune596.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 7.1b

regimes1.2s

Accuracy

-5.8% (4.1b remaining)

Error of 12.1b against oracle of 8.0b and baseline of 11.9b

bsearch294.0ms

Steps

Iters	Range		Point
7	1.279342195381289e-119	1.037178280845362e-117	1.309719638135001e-119
8	-1.4592107928358484e-142	-3.6385117334552135e-147	-1.640681293042329e-146

simplify64.0ms

end0.0ms

sample5.3s

Algorithm

intervals

Results

3.4s

19199×

body

valid