Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

268×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	14	17
1	24	16
2	43	15
3	75	15
4	112	15
5	148	15
6	181	15
7	257	15
8	419	15
9	728	15
10	1525	15
11	4096	15
done	5000	15

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.0b	(* z (- t a))
1.0b	(fma x y (* z (- t a)))
22.8b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

1.0ms	(fma z (- b y) y)
52.0ms	(* z (- t a))
1.0ms	(fma x y (* z (- t a)))
11.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series842.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma z (- b y) y)
56.0ms	(* z (- t a))
91.0ms	(fma x y (* z (- t a)))
645.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify2.7s

Counts

107 → 107

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	171	1678
1	309	1491
2	699	1283
3	2817	1241
done	5000	1187

prune476.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 22.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* (- b y) z)
1.0b	(fma x y (* z (- t a)))
22.8b	(/ (fma x y (* z (- t a))) (+ (* (- b y) z) y))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
28×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1` `associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `associate-r/` `pow-prod-down` `associate-l/` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

4 → 111

Calls

4 calls:

27.0ms	(* z (- t a))
39.0ms	(* (- b y) z)
1.0ms	(fma x y (* z (- t a)))
36.0ms	(/ (fma x y (* z (- t a))) (+ (* (- b y) z) y))

series781.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* z (- t a))
46.0ms	(* (- b y) z)
75.0ms	(fma x y (* z (- t a)))
595.0ms	(/ (fma x y (* z (- t a))) (+ (* (- b y) z) y))

simplify3.0s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	207	1846
1	412	1601
2	1129	1401
3	4762	1359
done	5000	1359

prune455.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (fma z (- b y) y))
1.0b	(fma x y (* z (- t a)))
22.6b	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r` `prod-diff`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `un-div-inv` `flip--` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

47.0ms	(* z (- t a))
9.0ms	(/ 1 (fma z (- b y) y))
0.0ms	(fma x y (* z (- t a)))
26.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

series607.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- t a))
62.0ms	(/ 1 (fma z (- b y) y))
58.0ms	(fma x y (* z (- t a)))
447.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify2.6s

Counts

139 → 139

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	200	2133
1	387	1818
2	915	1550
3	3812	1508
done	5000	1508

prune560.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.9b

localize28.0ms

Local error

Found 4 expressions with local error:

15.3b	(cbrt (* z (- t a)))
15.3b	(cbrt (* z (- t a)))
15.3b	(cbrt (* z (- t a)))
22.8b	(/ (fma x y (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ (* (- b y) z) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `pow1/3` `associate-/r` `flip--` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 70

Calls

4 calls:

20.0ms	(cbrt (* z (- t a)))
12.0ms	(cbrt (* z (- t a)))
12.0ms	(cbrt (* z (- t a)))
35.0ms	(/ (fma x y (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ (* (- b y) z) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt (* z (- t a)))
233.0ms	(cbrt (* z (- t a)))
225.0ms	(cbrt (* z (- t a)))
532.0ms	(/ (fma x y (* (* (cbrt (* z (- t a))) (cbrt (* z (- t a)))) (cbrt (* z (- t a))))) (+ (* (- b y) z) y))

simplify1.9s

Counts

82 → 82

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	126	1955
1	273	1887
2	727	1248
3	2309	1104
done	5000	1068

prune462.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 22.9b

regimes470.0ms

Accuracy

0% (0.6b remaining)

Error of 23.8b against oracle of 23.2b and baseline of 23.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	16	16
done	16	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

827.0ms

8404×

body

valid