Details

sample123.0ms

Algorithm

intervals

Results

59.0ms

482×

body

valid

simplify10.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	87	17
3	254	17
4	836	17
5	1983	17
6	3876	17
7	4749	17
done	5000	17

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z t) (* (* c (fma c b a)) i))
0.1b	(* c (fma c b a))
6.6b	(* (* c (fma c b a)) i)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative` `fma-udef`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `flip--` `unswap-sqr`

Counts

3 → 58

Calls

3 calls:

28.0ms	(- (* z t) (* (* c (fma c b a)) i))
15.0ms	(* c (fma c b a))
38.0ms	(* (* c (fma c b a)) i)

series376.0ms

Counts

3 → 9

Calls

3 calls:

214.0ms	(- (* z t) (* (* c (fma c b a)) i))
65.0ms	(* c (fma c b a))
97.0ms	(* (* c (fma c b a)) i)

simplify4.4s

Counts

67 → 67

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	106	823
1	247	779
2	870	697
3	4567	672
done	5000	672

prune447.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z t) (* c (* (fma c b a) i)))
1.3b	(* (fma c b a) i)
3.5b	(* c (* (fma c b a) i))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

10.0ms	(- (* z t) (* c (* (fma c b a) i)))
7.0ms	(* (fma c b a) i)
41.0ms	(* c (* (fma c b a) i))

series407.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(- (* z t) (* c (* (fma c b a) i)))
111.0ms	(* (fma c b a) i)
84.0ms	(* c (* (fma c b a) i))

simplify4.2s

Counts

65 → 65

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	102	804
1	244	762
2	874	672
3	4458	656
done	5000	656

prune380.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.2b

localize38.0ms

Local error

Found 1 expressions with local error:

1.8b	(fma (* (- c) i) (fma c b a) (* z t))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (* (- c) i) (fma c b a) (* z t))

series256.0ms

Counts

1 → 3

Calls

1 calls:

256.0ms

(fma (* (- c) i) (fma c b a) (* z t))

simplify2.8s

Counts

13 → 13

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	31	200
1	60	198
2	150	174
3	526	166
4	2504	166
done	5000	166

prune142.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 1.2b

localize48.0ms

Local error

Found 4 expressions with local error:

1.7b	(cbrt (fma c b a))
1.7b	(cbrt (fma c b a))
1.7b	(cbrt (fma c b a))
3.5b	(* c (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (cbrt (fma c b a)) i)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
200.0ms	(* c (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (cbrt (fma c b a)) i)))

series763.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (fma c b a))
228.0ms	(cbrt (fma c b a))
239.0ms	(cbrt (fma c b a))
116.0ms	(* c (* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (cbrt (fma c b a)) i)))

simplify4.6s

Counts

80 → 80

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	107	1294
1	277	1249
2	1068	806
3	4138	670
done	5000	658

prune440.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 1.2b

regimes805.0ms

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.9b and baseline of 1.8b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	17
1	21	17
2	25	17
3	26	17
done	26	17

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.0s

15266×

body

valid