Details

sample80.0ms

Algorithm

intervals

Results

54.0ms	182×	body	1280	valid
6.0ms	283×	body	80	valid
5.0ms	35×	body	640	valid
2.0ms	25×	body	320	valid
1.0ms	11×	body	160	valid

simplify222.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	26	5
2	41	5
3	55	5
4	67	5
5	104	5
6	161	5
7	344	5
8	1454	5
9	5001	5

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: 29.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (exp x) 2.0)
4.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`prod-diff`
16×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`add-log-exp`
5×	`fma-def`
4×	`frac-add`
3×	`flip3--` `fma-neg` `flip--` `distribute-lft-out--`
2×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `sub-neg` `exp-diff` `diff-log` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

2 → 65

Calls

2 calls:

5.0ms	(- (exp x) 2.0)
9.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (exp x) 2.0)
59.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify35.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	282	506
1	1008	381
2	5001	367

prune143.0ms

Filtered

71 candidates to 51 candidates (71.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Merged error: 0.0b

Counts

72 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b	(* 1/12 (pow x 4))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

1.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
5.0ms	(* 1/12 (pow x 4))

series166.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
39.0ms	(* 1/12 (pow x 4))

simplify86.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	123	177
1	469	163
2	2175	160
3	5002	160

prune81.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Merged error: 0.0b

Counts

45 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (exp x) 2.0)
4.5b	(log (exp (+ (- (exp x) 2.0) (exp (- x)))))
4.5b	(+ (- (exp x) 2.0) (exp (- x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`associate-+l+`
10×	`add-log-exp`
6×	`log-pow`
5×	`exp-prod` `fma-def`
4×	`pow1` `log-prod` `frac-add` `distribute-lft-out` `distribute-lft-out--`
3×	`add-exp-log` `expm1-log1p-u` `flip3--` `exp-diff` `fma-neg` `add-cbrt-cube` `flip--` `log1p-expm1-u`
2×	`neg-sub0` `exp-neg` `associate-+l-` `sub-neg` `diff-log` `sum-log` `difference-of-squares`
1×	`+-commutative` `log-div` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 86

Calls

3 calls:

5.0ms	(- (exp x) 2.0)
8.0ms	(log (exp (+ (- (exp x) 2.0) (exp (- x)))))
10.0ms	(+ (- (exp x) 2.0) (exp (- x)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(- (exp x) 2.0)
59.0ms	(log (exp (+ (- (exp x) 2.0) (exp (- x)))))
58.0ms	(+ (- (exp x) 2.0) (exp (- x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	316	672
1	1083	525
2	5002	513

prune174.0ms

Filtered

95 candidates to 65 candidates (68.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	3	97

Merged error: 0.0b

Counts

97 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp x) 2.0)
0.0b	(* (exp x) (- (exp x) 2.0))
3.5b	(log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))
3.8b	(+ (* (exp x) (- (exp x) 2.0)) 1)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt` `prod-diff`
43×	`*-un-lft-identity`
39×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
8×	`log-pow` `add-log-exp`
7×	`pow1` `exp-prod`
6×	`add-cbrt-cube`
5×	`add-exp-log` `sub-neg` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `fma-neg` `associate-l`
2×	`flip3--` `flip3-+` `associate-r/` `associate-l/` `associate-/r/` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `fma-def` `times-frac` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

5.0ms	(- (exp x) 2.0)
9.0ms	(* (exp x) (- (exp x) 2.0))
5.0ms	(log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))
10.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

series204.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (exp x) 2.0)
33.0ms	(* (exp x) (- (exp x) 2.0))
98.0ms	(log (exp (/ (* (+ (exp x) 2.0) (+ (* (exp x) (- (exp x) 2.0)) 1)) (* (+ (exp x) 2.0) (exp x)))))
61.0ms	(+ (* (exp x) (- (exp x) 2.0)) 1)

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	451	1345
1	1915	972
2	5001	960

prune291.0ms

Filtered

143 candidates to 96 candidates (67.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	143	3	146

Merged error: 0b

Counts

146 → 3

regimes35.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s	5688×	body	1280	valid
189.0ms	1216×	body	640	valid
176.0ms	7996×	body	80	valid
53.0ms	577×	body	320	valid
20.0ms	340×	body	160	valid