Details

sample84.0ms

Algorithm

intervals

Results

30.0ms	88×	body	2560	valid
20.0ms	90×	body	1280	valid
12.0ms	277×	body	80	nan
5.0ms	32×	body	640	valid
3.0ms	22×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	6×	body	80	valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.5b

localize7.0ms

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

rewrite19.0ms

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:

11.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
30.0ms	(* 5.0 (* v v))
3.0ms	(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	349	623
1	1288	567
2	5001	565

prune176.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* v v) 3)
0.1b	(* (* v v) (* v v))
0.1b	(* 5.0 (* v v))
0.4b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
37×	`pow-prod-up`
27×	`pow-prod-down`
24×	`add-exp-log` `add-cbrt-cube`
23×	`pow-sqr`
19×	`pow-plus`
14×	`pow2`
12×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `pow-pow` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`associate-r` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`acos-asin` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

3.0ms	(pow (* v v) 3)
13.0ms	(* (* v v) (* v v))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow (* v v) 3)
39.0ms	(* (* v v) (* v v))
25.0ms	(* 5.0 (* v v))
9.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

simplify50.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	327	490
1	1299	424
2	5002	424

prune267.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* v v) 3)
0.1b	(* (* v v) (* v v))
0.1b	(* 5.0 (* v v))
0.4b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
37×	`pow-prod-up`
27×	`pow-prod-down`
24×	`add-exp-log` `add-cbrt-cube`
23×	`pow-sqr`
19×	`pow-plus`
14×	`pow2`
12×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `pow-pow` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`associate-r` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`acos-asin` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

3.0ms	(pow (* v v) 3)
12.0ms	(* (* v v) (* v v))
6.0ms	(* 5.0 (* v v))
1.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(pow (* v v) 3)
31.0ms	(* (* v v) (* v v))
29.0ms	(* 5.0 (* v v))
9.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

simplify46.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	327	490
1	1299	424
2	5002	424

prune316.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* v v) 3)
0.1b	(* (* v v) (* v v))
0.1b	(* 5.0 (* v v))
0.4b	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

128×	`pow1`
37×	`pow-prod-up`
27×	`pow-prod-down`
24×	`add-exp-log` `add-cbrt-cube`
23×	`pow-sqr`
19×	`pow-plus`
14×	`pow2`
12×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `pow-pow` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`associate-r` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
1×	`acos-asin` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

3.0ms	(pow (* v v) 3)
12.0ms	(* (* v v) (* v v))
7.0ms	(* 5.0 (* v v))
1.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(pow (* v v) 3)
39.0ms	(* (* v v) (* v v))
25.0ms	(* 5.0 (* v v))
9.0ms	(acos (* (/ (- 1.0 (* 5.0 (* v v))) (- (pow (* v v) 3) (pow 1.0 3))) (+ (* (* v v) (* v v)) (+ (* 1.0 1.0) (* (* v v) 1.0)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	327	490
1	1299	424
2	5002	424

prune350.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	2933×	body	2560	valid
603.0ms	2603×	body	1280	valid
228.0ms	8062×	body	80	nan
200.0ms	1219×	body	640	valid
76.0ms	623×	body	320	valid
35.0ms	421×	body	160	valid
10.0ms	201×	body	80	valid