Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	72×	body	1280	valid
4.0ms	43×	body	640	valid
3.0ms	177×	body	80	valid
2.0ms	29×	body	320	valid
1.0ms	13×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 37.7b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.9b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series56.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (- (exp x) 1.0) x)
14.0ms	(- (exp x) 1.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2739	309
3	5001	309

prune97.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

7.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
5.0ms	(* 1/6 (pow x 2))

series45.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
24.0ms	(* 1/6 (pow x 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	201	222
1	825	201
2	5001	198

prune67.0ms

Filtered

46 candidates to 29 candidates (63.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (exp (- (exp x) 1.0))) x)
3.9b	(log (exp (- (exp x) 1.0)))
3.9b	(- (exp x) 1.0)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`log-pow`
27×	`times-frac`
25×	`exp-prod`
23×	`add-cube-cbrt`
9×	`associate-/l*`
8×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `log-prod` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`sub-neg` `log-div` `exp-diff` `exp-sum`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `diff-log` `div-sub` `div-exp` `rem-log-exp` `clear-num` `flip--` `div-inv`

Counts

3 → 86

Calls

3 calls:

8.0ms	(/ (log (exp (- (exp x) 1.0))) x)
5.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series71.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (log (exp (- (exp x) 1.0))) x)
14.0ms	(log (exp (- (exp x) 1.0)))
18.0ms	(- (exp x) 1.0)

simplify99.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	269	594
1	788	525
2	3293	508
3	5001	505

prune125.0ms

Filtered

95 candidates to 64 candidates (67.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cbrt (pow (- (exp x) 1.0) 3)) x)
0.0b	(pow (- (exp x) 1.0) 3)
0.0b	(cbrt (pow (- (exp x) 1.0) 3))
3.9b	(- (exp x) 1.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
72×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`times-frac`
46×	`add-cube-cbrt`
30×	`unpow-prod-down` `cube-prod`
19×	`associate-/l*`
13×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
6×	`cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
5×	`pow1`
4×	`cbrt-div` `flip3--` `flip--`
3×	`pow-unpow` `associate-/r*`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 163

Calls

4 calls:

13.0ms	(/ (cbrt (pow (- (exp x) 1.0) 3)) x)
5.0ms	(pow (- (exp x) 1.0) 3)
5.0ms	(cbrt (pow (- (exp x) 1.0) 3))
4.0ms	(- (exp x) 1.0)

series107.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (cbrt (pow (- (exp x) 1.0) 3)) x)
36.0ms	(pow (- (exp x) 1.0) 3)
14.0ms	(cbrt (pow (- (exp x) 1.0) 3))
14.0ms	(- (exp x) 1.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	385	1233
1	1514	1140
2	5001	1109

prune198.0ms

Filtered

175 candidates to 87 candidates (49.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	174	4	178

Merged error: 0.0b

Counts

178 → 4

regimes22.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.2b

bsearch31.0ms

Steps

Iters	Range		Point
9	-3.7752751361666412	-2.6386627092684764e-08	-0.00018411700096191634

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	25	10

end0.0ms

sample876.0ms

Algorithm

intervals

Results

381.0ms	2220×	body	1280	valid
175.0ms	1659×	body	640	valid
105.0ms	5379×	body	80	valid
60.0ms	878×	body	320	valid
19.0ms	420×	body	160	valid