Details

sample149.0ms

Algorithm

intervals

Results

61.0ms	96×	body	2560	valid
32.0ms	79×	body	1280	valid
17.0ms	281×	body	80	nan
11.0ms	38×	body	640	valid
5.0ms	20×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	10×	body	80	valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	14
1	20	14
2	43	14
3	84	14
4	155	14
5	241	14
6	330	14
7	482	14
8	1107	14
done	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite51.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 69

Calls

3 calls:

25.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
22.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
46.0ms	(* 5.0 (* v v))
9.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify2.5s

Counts

78 → 78

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	145	1268
1	335	1223
2	1014	1120
3	3300	1118
done	5001	1116

prune309.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.0b	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log`
9×	`add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`log-prod`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `exp-sum` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `associate-r` `*-commutative` `rem-exp-log` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

1.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
20.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
7.0ms	(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
41.0ms	(* 5.0 (* v v))
5.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.7s

Counts

74 → 74

Iterations

Useful iterations: 4 (703.0ms)

Iter	Nodes	Cost
0	88	1166
1	148	1122
2	309	956
3	601	956
4	936	950
5	2287	950
done	5000	950

prune275.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`acos-asin` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

22.0ms	(* 5.0 (* v v))
17.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* 5.0 (* v v))
43.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify4.4s

Counts

74 → 74

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	57	826
1	109	820
2	267	704
3	561	704
4	878	704
5	2162	704
done	5000	704

prune447.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.6b	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
0.6b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
3.4b	(log (exp (* 5.0 (* v v))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`acos-asin`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

44.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
2.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
10.0ms	(log (exp (* 5.0 (* v v))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (log (exp (* 5.0 (* v v))))) (- (* v v) 1.0)))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
49.0ms	(log (exp (* 5.0 (* v v))))

simplify4.3s

Counts

69 → 69

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	90	851
1	143	789
2	297	687
3	593	687
4	963	687
5	3333	687
done	5000	685

prune509.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

Details

sample149.0ms

simplify5.7s

prune4.0ms

localize18.0ms

rewrite51.0ms

series204.0ms

simplify2.5s

prune309.0ms

localize26.0ms

rewrite29.0ms

series172.0ms

simplify3.7s

prune275.0ms

localize23.0ms

rewrite43.0ms

series86.0ms

simplify4.4s

prune447.0ms

localize40.0ms

rewrite60.0ms

series93.0ms

simplify4.3s

prune509.0ms

regimes4.0ms