Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
2	17	9
3	19	9
4	21	9
5	22	9
done	22	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

26.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms	(* (/ 841.0 108.0) x)

series87.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
30.0ms	(* (/ 841.0 108.0) x)

simplify867.0ms

Counts

50 → 50

Iterations

Useful iterations: done (865.0ms)

Iter	Nodes	Cost
0	97	463
1	246	443
2	1066	403
done	5001	401

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

16.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
21.0ms	(* 841.0 (/ x 108.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
20.0ms	(* 841.0 (/ x 108.0))

simplify742.0ms

Counts

50 → 50

Iterations

Useful iterations: done (740.0ms)

Iter	Nodes	Cost
0	99	479
1	267	451
2	954	409
done	5001	407

prune147.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`frac-add` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 82

Calls

3 calls:

59.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
21.0ms	(* (sqrt (/ 841.0 108.0)) x)
53.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series269.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
56.0ms	(* (sqrt (/ 841.0 108.0)) x)
98.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify963.0ms

Counts

91 → 91

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	138	1170
1	329	1095
2	1184	797
done	5001	795

prune345.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample562.0ms

Algorithm

intervals

Results

375.0ms	8001×	body	80	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	3×	body	160	valid