Details

sample159.0ms

Algorithm

intervals

Results

58.0ms	90×	body	1280	valid
45.0ms	81×	body	2560	valid
14.0ms	270×	body	80	nan
12.0ms	40×	body	640	valid
5.0ms	24×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	6×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	19	14
2	42	14
3	77	14
4	146	14
5	222	14
6	297	14
7	436	14
8	1043	14
done	5000	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
4×	`associate-/r*` `difference-of-squares`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `frac-2neg` `div-sub` `div-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

45.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
17.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
47.0ms	(* 5.0 (* v v))
9.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (920.0ms)

Iter	Nodes	Cost
0	139	1198
1	322	1158
2	959	1054
3	2995	1052
done	5000	1052

prune285.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
0.1b	(* 5.0 (* v v))
0.5b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
3.5b	(log (exp (* 5.0 (* v v))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
24×	`times-frac`
18×	`add-cube-cbrt`
15×	`pow1`
12×	`difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`log-pow`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`associate-/r*`
3×	`log-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `acos-asin` `exp-prod` `exp-to-pow` `frac-2neg` `div-sub` `div-exp` `rem-log-exp` `associate-r` `clear-num` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

49.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
5.0ms	(log (exp (* 5.0 (* v v))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0))
31.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
35.0ms	(log (exp (* 5.0 (* v v))))

simplify2.9s

Counts

104 → 104

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	167	1859
1	367	1612
2	1015	1496
3	3055	1496
done	5000	1494

prune361.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* v v) (pow v 4))
0.0b	(* 4.0 (+ (* v v) (pow v 4)))
0.5b	(acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `acos-asin` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 41

Calls

3 calls:

22.0ms	(+ (* v v) (pow v 4))
42.0ms	(* 4.0 (+ (* v v) (pow v 4)))
2.0ms	(acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))

series290.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* v v) (pow v 4))
177.0ms	(* 4.0 (+ (* v v) (pow v 4)))
9.0ms	(acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))

simplify2.4s

Counts

50 → 50

Iterations

Useful iterations: 3 (867.0ms)

Iter	Nodes	Cost
0	75	668
1	192	626
2	628	546
3	2599	542
done	5000	542

prune196.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* v v) (pow v 4))
0.0b	(exp (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))
0.0b	(* 4.0 (+ (* v v) (pow v 4)))
0.5b	(acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`exp-prod`
3×	`log-prod` `associate-r` `associate-l` `exp-sum`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `acos-asin` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

11.0ms	(+ (* v v) (pow v 4))
3.0ms	(exp (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))
76.0ms	(* 4.0 (+ (* v v) (pow v 4)))
2.0ms	(acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))

series264.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* v v) (pow v 4))
10.0ms	(exp (log (acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))))
138.0ms	(* 4.0 (+ (* v v) (pow v 4)))
7.0ms	(acos (- (* 4.0 (+ (* v v) (pow v 4))) 1.0))

simplify2.5s

Counts

68 → 68

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	97	1000
1	220	918
2	662	784
3	2666	780
done	5000	774

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

regimes31.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	12	16
done	12	16

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.4s	2939×	body	2560	valid
1.2s	2516×	body	1280	valid
881.0ms	1266×	body	640	valid
460.0ms	7862×	body	80	nan
188.0ms	632×	body	320	valid
62.0ms	438×	body	160	valid
17.0ms	209×	body	80	valid