Details

sample87.0ms

Algorithm

intervals

Results

39.0ms	117×	body	2560	valid
19.0ms	75×	body	1280	valid
7.0ms	259×	body	80	nan
4.0ms	27×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	4×	body	80	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	43	7
2	84	7
3	155	7
4	262	7
5	454	7
6	2878	7
7	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
1×	`acos-asin` `sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

6.0ms	(- 1.0 (* 5.0 (* v v)))
16.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series84.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 1.0 (* 5.0 (* v v)))
28.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	201	333
1	620	291
2	2691	289
3	5001	272

prune126.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* 5.0 (* v v)))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (* 1 (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
1×	`acos-asin` `sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

7.0ms	(- 1.0 (* 5.0 (* v v)))
17.0ms	(* 5.0 (* v v))
2.0ms	(acos (/ (* 1 (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

series83.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 1.0 (* 5.0 (* v v)))
28.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (* 1 (- 1.0 (* 5.0 (* v v)))) (- (* v v) 1.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	202	346
1	673	301
2	3084	299
3	5001	282

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.2b	(* 5.0 (* v v))
0.4b	(acos (/ (* (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (cbrt (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

16.0ms	(* 5.0 (* v v))
16.0ms	(* 5.0 (* v v))
20.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (* (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (cbrt (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 5.0 (* v v))
28.0ms	(* 5.0 (* v v))
26.0ms	(* 5.0 (* v v))
4.0ms	(acos (/ (* (* (cbrt (- 1.0 (* 5.0 (* v v)))) (cbrt (- 1.0 (* 5.0 (* v v))))) (cbrt (- 1.0 (* 5.0 (* v v))))) (- (* v v) 1.0)))

simplify114.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	127	511
1	366	429
2	990	429
3	3350	418
4	5001	418

prune195.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `acos-asin` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
13.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
16.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
21.0ms	(sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
4.0ms	(* (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) (sqrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))

simplify111.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	132	1070
1	439	956
2	2385	912
3	5002	881

prune167.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

regimes97.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	14	18

end0.0ms

sample2.4s

Algorithm

intervals

Results

990.0ms	2980×	body	2560	valid
576.0ms	2581×	body	1280	valid
211.0ms	7853×	body	80	nan
185.0ms	1176×	body	640	valid
74.0ms	643×	body	320	valid
32.0ms	397×	body	160	valid
10.0ms	223×	body	80	valid