Details

sample104.0ms

Algorithm

intervals

Results

37.0ms	286×	body	80	valid
19.0ms	263×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4493
4	1075
3	279
2	88
1	30
0	15

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (log t))
0.1b	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`prod-diff`
11×	`add-cube-cbrt`
6×	`pow1`
4×	`log-pow`
3×	`log-prod` `fma-neg` `associate--r+` `add-log-exp`
2×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 46

Calls

2 calls:

12.0ms	(- 1 (log t))
0.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

series500.0ms

Counts

2 → 6

Calls

2 calls:

194.0ms	(- 1 (log t))
305.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

simplify813.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	710
1	218
0	103

prune390.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* z (- 1 (log t))) (+ (fma b (- a 0.5) x) y))
0.0b	(- 1 (log t))
0.3b	(* z (- 1 (log t)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

60×	`prod-diff`
50×	`add-sqr-sqrt` `*-un-lft-identity`
42×	`add-cube-cbrt`
28×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
22×	`pow1`
17×	`log-pow`
9×	`add-log-exp`
7×	`associate-r`
6×	`associate-*r/`
5×	`sub-neg` `add-cbrt-cube` `add-exp-log`
4×	`flip3--` `frac-add` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `log-prod` `sum-log` `flip3-+` `fma-neg` `associate-l` `flip-+` `log1p-expm1-u` `associate--r+`
1×	`+-commutative` `associate-+r+` `fma-def` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 138

Calls

3 calls:

37.0ms	(+ (* z (- 1 (log t))) (+ (fma b (- a 0.5) x) y))
14.0ms	(- 1 (log t))
48.0ms	(* z (- 1 (log t)))

series622.0ms

Counts

3 → 9

Calls

3 calls:

356.0ms	(+ (* z (- 1 (log t))) (+ (fma b (- a 0.5) x) y))
205.0ms	(- 1 (log t))
62.0ms	(* z (- 1 (log t)))

simplify2.0s

Counts

147 → 147

Iterations

Iter	Nodes
done	5001
2	2781
1	591
0	208

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1 (log t))
0.3b	(* (fma (- (log t)) (log t) 1) z)
0.3b	(/ (* (fma (- (log t)) (log t) 1) z) (+ 1 (log t)))
0.5b	(fma (- (log t)) (log t) 1)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`add-cube-cbrt`
9×	`pow1`
6×	`distribute-lft-out`
5×	`associate-/r*` `times-frac` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+r+` `log-prod` `fma-def` `associate-r` `associate-l` `log-pow`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

12.0ms	(+ 1 (log t))
6.0ms	(* (fma (- (log t)) (log t) 1) z)
14.0ms	(/ (* (fma (- (log t)) (log t) 1) z) (+ 1 (log t)))
0.0ms	(fma (- (log t)) (log t) 1)

series1.1s

Counts

4 → 12

Calls

4 calls:

181.0ms	(+ 1 (log t))
219.0ms	(* (fma (- (log t)) (log t) 1) z)
341.0ms	(/ (* (fma (- (log t)) (log t) 1) z) (+ 1 (log t)))
405.0ms	(fma (- (log t)) (log t) 1)

simplify1.4s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1549
1	323
0	130

prune825.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))))
0.3b	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

54×	`prod-diff`
44×	`add-sqr-sqrt` `*-un-lft-identity`
38×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
20×	`log-pow`
17×	`pow1`
15×	`associate--l+`
11×	`pow1/3`
9×	`cbrt-prod`
7×	`add-log-exp`
6×	`log-prod` `sub-neg` `add-cbrt-cube` `associate-r` `add-exp-log` `associate--r+`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
3×	`fma-neg` `diff-log` `associate-l`
2×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
1×	`associate--l-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 143

Calls

4 calls:

122.0ms	(* z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))))
59.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.2s

Counts

4 → 12

Calls

4 calls:

149.0ms	(* z (- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t))))
471.0ms	(- (- 1 (* 2 (log (cbrt t)))) (log (cbrt t)))
303.0ms	(cbrt t)
286.0ms	(cbrt t)

simplify2.0s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	2045
1	465
0	203

prune804.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes914.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	9153×	body	80	valid
794.0ms	9003×	body	80	nan
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid