Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
10.0ms	223×	body	80	nan

simplify160.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	41	13
3	70	13
4	99	13
5	128	13
6	141	13
7	143	13
done	143	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`fma-udef`

Counts

3 → 153

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
22.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
26.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
101.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
108.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify1.6s

Counts

162 → 162

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	250	3612
1	631	3490
2	3038	3298
done	5001	3288

prune550.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))
0.0b	(/ 6.0 (/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
22×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-/r*`
11×	`associate-/r/`
10×	`div-exp`
7×	`cbrt-undiv`
6×	`div-inv` `distribute-lft-out--` `difference-of-squares`
5×	`flip3--` `flip--`
4×	`prod-exp` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `1-exp` `clear-num` `cbrt-unprod`
1×	`fma-udef`

Counts

3 → 107

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
32.0ms	(/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))
27.0ms	(/ 6.0 (/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
100.0ms	(/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0))
105.0ms	(/ 6.0 (/ (* 1 (fma (sqrt x) 4.0 (+ x 1.0))) (- x 1.0)))

simplify1.3s

Counts

116 → 116

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	202	2317
1	530	2041
2	3106	1805
done	5001	1799

prune260.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.1b	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip--` `fma-udef`

Counts

3 → 90

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
30.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
27.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
99.0ms	(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
76.0ms	(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify957.0ms

Counts

99 → 99

Iterations

Useful iterations: done (953.0ms)

Iter	Nodes	Cost
0	143	1667
1	373	1623
2	1536	1463
done	5001	1459

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- x 1.0))
0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b	(/ (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 (- x 1.0)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

705×	`times-frac`
394×	`add-sqr-sqrt` `*-un-lft-identity`
302×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
39×	`div-inv`
32×	`add-exp-log`
31×	`associate-/r/`
29×	`associate-/r*`
20×	`add-cbrt-cube`
19×	`div-exp` `associate-/l*`
15×	`flip3--` `flip--`
10×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

4 → 415

Calls

4 calls:

23.0ms	(/ 1 (- x 1.0))
0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
8.0ms	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
45.0ms	(/ (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 (- x 1.0)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- x 1.0))
47.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
76.0ms	(/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0)))
112.0ms	(/ (/ 6.0 (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 (- x 1.0)))

simplify1.1s

Counts

427 → 427

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	620	12344
1	2006	11065
done	5000	10118

prune799.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13
done	12	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

746.0ms	8000×	body	80	valid
489.0ms	7921×	body	80	nan