Details

sample31.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	31	12
1	168	11
2	965	9
3	5001	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
16.5b	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`add-sqr-sqrt`
2×	`pow1` `add-cube-cbrt` `flip3--` `-un-lft-identity` `associate-l/` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

10.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
21.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
78.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	342	496
1	1633	364
2	5001	364

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
0.1b	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
15.9b	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `difference-of-squares`
7×	`associate-r`
5×	`pow1` `add-log-exp`
4×	`associate-/r*` `associate-/r/` `unswap-sqr`
3×	`flip3--` `flip--` `div-inv` `associate-/l*`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 99

Calls

3 calls:

10.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
55.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
19.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series208.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
77.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
78.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	540	1082
1	2522	934
2	5002	925

prune201.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
0.2b	(/ 1 (pow i 4))
0.2b	(* 0.00390625 (/ 1 (pow i 4)))
0.3b	(/ 1 (pow i 2))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

72×	`times-frac`
67×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
52×	`add-cube-cbrt`
42×	`add-exp-log`
35×	`unpow-prod-down`
25×	`associate-r`
18×	`div-exp`
15×	`associate-/r*`
13×	`add-cbrt-cube` `sqr-pow`
10×	`prod-exp`
9×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `add-log-exp`
7×	`unswap-sqr`
6×	`pow1` `associate-/l*`
4×	`frac-add` `unpow2`
3×	`cbrt-undiv` `flip3-+` `associate-r/` `associate-l*` `sum-log` `un-div-inv` `flip-+` `div-inv`
2×	`pow-flip` `frac-2neg` `clear-num` `cbrt-unprod` `inv-pow`
1×	`+-commutative` `associate-+r+` `pow-prod-down` `*-commutative`

Counts

4 → 185

Calls

4 calls:

20.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
4.0ms	(/ 1 (pow i 4))
14.0ms	(* 0.00390625 (/ 1 (pow i 4)))
4.0ms	(/ 1 (pow i 2))

series116.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* 0.00390625 (/ 1 (pow i 4))) (+ (* 0.015625 (/ 1 (pow i 2))) 0.0625))
27.0ms	(/ 1 (pow i 4))
40.0ms	(* 0.00390625 (/ 1 (pow i 4)))
16.0ms	(/ 1 (pow i 2))

simplify75.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	620	1113
1	2792	964
2	5001	858

prune304.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.6b

bsearch35.0ms

Steps

Iters	Range		Point
6	154.95281288217146	827.1329217740771	260.7291875633734

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample814.0ms

Algorithm

intervals

Results

606.0ms	8000×	body	80	valid
100.0ms	8000×	pre	80	true