Details

sample94.0ms

Algorithm

intervals

Results

48.0ms	106×	body	1280	valid
19.0ms	71×	body	640	valid
9.0ms	60×	body	320	valid
6.0ms	234×	body	80	nan
1.0ms	14×	body	160	valid
0.0ms	5×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
3.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
10.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
122.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify134.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622

prune171.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
0.0b	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
0.1b	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
3.6b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
49×	`add-sqr-sqrt`
40×	`times-frac`
31×	`add-cube-cbrt`
26×	`log-prod`
14×	`cbrt-prod`
11×	`distribute-lft-out`
10×	`pow1` `add-exp-log`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
5×	`log-pow` `associate-/l*`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cube-mult` `flip3-+` `unpow3` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `log-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `pow-exp` `clear-num` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 139

Calls

4 calls:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
3.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
3.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series446.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
159.0ms	(pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3)
122.0ms	(cbrt (pow (log (/ (- 1.0 eps) (+ 1.0 eps))) 3))
128.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify54.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	514	1113
1	1920	1059
2	5001	1051

prune250.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 eps))
0.0b	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
3.7b	(log (/ 1 (+ 1.0 eps)))
3.7b	(log (- 1.0 eps))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
46×	`log-prod`
36×	`add-sqr-sqrt` `times-frac`
32×	`add-cube-cbrt`
18×	`associate-+r+`
14×	`add-exp-log` `distribute-lft-out`
13×	`pow1`
9×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-+l+` `rem-log-exp`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `div-exp` `associate-/r*` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`log-rec` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 142

Calls

4 calls:

5.0ms	(/ 1 (+ 1.0 eps))
11.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
5.0ms	(log (/ 1 (+ 1.0 eps)))
4.0ms	(log (- 1.0 eps))

series327.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ 1 (+ 1.0 eps))
192.0ms	(+ (log (- 1.0 eps)) (log (/ 1 (+ 1.0 eps))))
66.0ms	(log (/ 1 (+ 1.0 eps)))
47.0ms	(log (- 1.0 eps))

simplify46.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	495	892
1	1641	793
2	5002	705

prune227.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes47.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	8
1	13	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.3s	3388×	body	1280	valid
541.0ms	2538×	body	640	valid
164.0ms	8171×	body	80	nan
157.0ms	1270×	body	320	valid
46.0ms	605×	body	160	valid
8.0ms	199×	body	80	valid