Details

sample89.0ms

Algorithm

intervals

Results

27.0ms	281×	body	80	nan
23.0ms	287×	body	80	valid
0.0ms	1×	body	640	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.5s)

Iter	Nodes	Cost
0	15	357
1	30	357
2	88	332
3	279	332
4	1075	332
5	4493	308
done	5000	308

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
7×	`pow1`
6×	`add-log-exp`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `associate-+l+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

12.0ms	(- 1 (log t))
5.0ms	(+ (fma (- 1 (log t)) z (fma b (- a 0.5) x)) y)
0.0ms	(fma (- 1 (log t)) z (fma b (- a 0.5) x))

series717.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(- 1 (log t))
336.0ms	(+ (fma (- 1 (log t)) z (fma b (- a 0.5) x)) y)
239.0ms	(fma (- 1 (log t)) z (fma b (- a 0.5) x))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	22503
1	283	19432
2	903	17052
done	5001	15720

prune468.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ E t))
0.0b	(+ (fma (log (/ E t)) z (fma b (- a 0.5) x)) y)
0.1b	(fma (log (/ E t)) z (fma b (- a 0.5) x))
0.3b	(/ E t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
13×	`log-prod`
11×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `rem-log-exp` `associate-/l`
2×	`e-exp-1` `fma-udef` `div-inv`
1×	`cbrt-undiv` `+-commutative` `log-div` `associate-+l+` `clear-num` `sum-log` `frac-2neg` `flip3-+` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 85

Calls

4 calls:

2.0ms	(log (/ E t))
5.0ms	(+ (fma (log (/ E t)) z (fma b (- a 0.5) x)) y)
0.0ms	(fma (log (/ E t)) z (fma b (- a 0.5) x))
4.0ms	(/ E t)

series766.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(log (/ E t))
329.0ms	(+ (fma (log (/ E t)) z (fma b (- a 0.5) x)) y)
209.0ms	(fma (log (/ E t)) z (fma b (- a 0.5) x))
48.0ms	(/ E t)

simplify2.1s

Counts

97 → 97

Iterations

Useful iterations: 2 (209.0ms)

Iter	Nodes	Cost
0	140	22594
1	290	21240
2	739	20965
3	3925	20965
done	5000	20965

prune865.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite886.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

29.0ms	(* (- a 0.5) b)
609.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
227.0ms	(- (+ (+ x y) z) (* z (log t)))
17.0ms	(* z (log t))

series343.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- a 0.5) b)
206.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
56.0ms	(- (+ (+ x y) z) (* z (log t)))
43.0ms	(* z (log t))

simplify2.8s

Counts

128 → 128

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	222	41430
1	615	36917
2	2744	35407
done	5000	35005

prune892.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

17.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series951.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(* (cbrt t) (cbrt t))
227.0ms	(cbrt t)
260.0ms	(cbrt t)
218.0ms	(cbrt t)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	65	18502
1	142	15989
2	725	15714
done	5001	15034

prune694.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes857.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	627
1	27	627
done	27	627

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	9212×	body	80	valid
677.0ms	9018×	body	80	nan
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid