Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	203×	body	80	valid
8.0ms	281×	body	80	overflowed
2.0ms	16×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	16×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	107	9
3	224	8
4	1514	8
5	5001	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* wj (exp wj))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.3b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`distribute-rgt-out` `distribute-rgt1-in` `associate-/r*`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`flip3--` `flip3-+` `div-sub` `associate-/r/` `flip--` `flip-+` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

5.0ms	(* wj (exp wj))
3.0ms	(+ (exp wj) (* wj (exp wj)))
16.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
21.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* wj (exp wj))
37.0ms	(+ (exp wj) (* wj (exp wj)))
40.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
55.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	394	942
1	1478	877
2	5001	855

prune240.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* wj (- wj (* 2 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

7.0ms

(* wj (- wj (* 2 x)))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* wj (- wj (* 2 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	123	129
1	529	113
2	2630	112
3	5001	112

prune57.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt wj) (cbrt wj))
0.6b	(cbrt wj)
0.6b	(cbrt wj)
0.6b	(cbrt wj)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt wj) (cbrt wj))
0.0ms	(cbrt wj)
0.0ms	(cbrt wj)
1.0ms	(cbrt wj)

series745.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt wj) (cbrt wj))
177.0ms	(cbrt wj)
186.0ms	(cbrt wj)
178.0ms	(cbrt wj)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt wj))
0.7b	(cbrt (cbrt wj))
0.7b	(cbrt (cbrt wj))
0.9b	(pow (cbrt (cbrt wj)) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (cbrt wj))
1.0ms	(cbrt (cbrt wj))
1.0ms	(cbrt (cbrt wj))
3.0ms	(pow (cbrt (cbrt wj)) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (cbrt wj))
244.0ms	(cbrt (cbrt wj))
246.0ms	(cbrt (cbrt wj))
308.0ms	(pow (cbrt (cbrt wj)) 4)

simplify75.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	138	359
1	420	333
2	1539	311
3	5001	305

prune223.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes71.0ms

Accuracy

-54.3% (1.9b remaining)

Error of 2.7b against oracle of 0.8b and baseline of 2.1b

bsearch58.0ms

Steps

Iters	Range		Point
10	2.540088317869112e-218	1.1814462666701549e-202	1.1555132530656186e-202

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms

sample828.0ms

Algorithm

intervals

Results

205.0ms	7556×	body	80	overflowed
191.0ms	6333×	body	80	valid
74.0ms	747×	body	320	valid
69.0ms	448×	body	640	valid
36.0ms	554×	body	160	valid