Details

sample339.0ms

Algorithm

intervals

Results

41.0ms	208×	body	10240	exit
11.0ms	377×	body	80	nan
8.0ms	245×	body	80	valid
2.0ms	17×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	28	7
2	41	7
3	75	7
4	182	7
5	576	7
6	2666	7
7	5001	7

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.1b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.4b	(- (exp (* 2.0 x)) 1.0)
3.5b	(- (exp x) 1.0)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
51×	`times-frac`
41×	`add-cube-cbrt`
31×	`sqrt-prod`
24×	`distribute-lft-out--` `difference-of-squares`
18×	`prod-diff`
8×	`add-log-exp`
6×	`add-exp-log` `fma-neg` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 155

Calls

4 calls:

14.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
17.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
5.0ms	(- (exp (* 2.0 x)) 1.0)
8.0ms	(- (exp x) 1.0)

series208.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
57.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
26.0ms	(- (exp (* 2.0 x)) 1.0)
31.0ms	(- (exp x) 1.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	480	1694
1	1523	1484
2	5001	1470

prune388.0ms

Filtered

167 candidates to 110 candidates (65.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x)))) (+ (exp x) 1.0)))
0.0b	(+ (exp x) 1.0)
3.4b	(fma (- 1.0) 1.0 (exp (+ x x)))
3.4b	(- (exp (* 2.0 x)) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`prod-diff`
8×	`add-log-exp`
7×	`pow1`
5×	`sqrt-div`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `fma-neg` `flip-+`
2×	`frac-times` `sqrt-pow1` `associate-*r/`
1×	`+-commutative` `sub-neg` `flip3--` `pow1/2` `diff-log` `pow-prod-down` `associate-*l/` `sum-log` `sqrt-prod` `flip--` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 73

Calls

4 calls:

9.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x)))) (+ (exp x) 1.0)))
4.0ms	(+ (exp x) 1.0)
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
5.0ms	(- (exp (* 2.0 x)) 1.0)

series230.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(sqrt (* (/ (- (exp (* 2.0 x)) 1.0) (fma (- 1.0) 1.0 (exp (+ x x)))) (+ (exp x) 1.0)))
8.0ms	(+ (exp x) 1.0)
42.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))
25.0ms	(- (exp (* 2.0 x)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	361	673
1	1258	564
2	5002	559

prune274.0ms

Filtered

85 candidates to 65 candidates (76.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp x) 1.0) (- (exp (* 2.0 x)) 1.0))
0.0b	(+ (exp x) 1.0)
3.4b	(- (exp (* 2.0 x)) 1.0)
3.4b	(- (exp (* 2 x)) 1.0)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

27.0ms	(* (+ (exp x) 1.0) (- (exp (* 2.0 x)) 1.0))
4.0ms	(+ (exp x) 1.0)
5.0ms	(- (exp (* 2.0 x)) 1.0)
5.0ms	(- (exp (* 2 x)) 1.0)

series102.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (+ (exp x) 1.0) (- (exp (* 2.0 x)) 1.0))
8.0ms	(+ (exp x) 1.0)
29.0ms	(- (exp (* 2.0 x)) 1.0)
17.0ms	(- (exp (* 2 x)) 1.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	525	1327
1	2115	994
2	5003	989

prune289.0ms

Filtered

138 candidates to 82 candidates (59.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (exp (* 2.0 x)) 1.0) 3)
0.1b	(cbrt (pow (- (exp (* 2.0 x)) 1.0) 3))
3.4b	(- (exp (* 2.0 x)) 1.0)
3.4b	(- (exp (* 2 x)) 1.0)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`prod-diff`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
8×	`add-log-exp`
6×	`fma-neg` `distribute-lft-out--` `difference-of-squares`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-unpow`
2×	`cube-mult` `sub-neg` `cbrt-div` `diff-log` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 116

Calls

4 calls:

6.0ms	(pow (- (exp (* 2.0 x)) 1.0) 3)
6.0ms	(cbrt (pow (- (exp (* 2.0 x)) 1.0) 3))
5.0ms	(- (exp (* 2.0 x)) 1.0)
5.0ms	(- (exp (* 2 x)) 1.0)

series123.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(pow (- (exp (* 2.0 x)) 1.0) 3)
28.0ms	(cbrt (pow (- (exp (* 2.0 x)) 1.0) 3))
25.0ms	(- (exp (* 2.0 x)) 1.0)
17.0ms	(- (exp (* 2 x)) 1.0)

simplify50.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	380	918
1	1378	739
2	5002	725

prune285.0ms

Filtered

128 candidates to 72 candidates (56.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

75.6% (0.7b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 2.9b

bsearch37.0ms

Steps

Iters	Range		Point
7	-0.00013776134412608358	-2.653200281950173e-06	-6.8779141464345475e-06

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	6662×	body	10240	exit
378.0ms	12727×	body	80	nan
244.0ms	7422×	body	80	valid
56.0ms	703×	body	160	valid