Details

sample127.0ms

Algorithm

intervals

Results

57.0ms	96×	body	1280	valid
30.0ms	87×	body	640	valid
12.0ms	242×	body	80	nan
11.0ms	49×	body	320	valid
5.0ms	17×	body	160	valid
0.0ms	7×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	25	6
2	40	6
3	65	6
4	98	6
5	122	6
6	135	6
7	137	6
8	137	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

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-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
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` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

11.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series161.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (+ 1.0 x) (- 1.0 x))
129.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify119.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	334	673
1	1078	636
2	4549	616
3	5001	613

prune194.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

0.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
30.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series353.0ms

Counts

2 → 6

Calls

2 calls:

299.0ms	(fma (fma x x x) 2.0 (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
54.0ms	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify69.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	555	769
1	2288	635
2	5002	634

prune348.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
0.0b	(exp (/ (+ 1.0 x) (- 1.0 x)))
0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.8b	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
80×	`times-frac`
78×	`exp-prod`
55×	`log-pow`
47×	`add-cube-cbrt`
33×	`log-prod`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*`
2×	`rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `rem-exp-log`

Counts

4 → 164

Calls

4 calls:

20.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
18.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
11.0ms	(/ (+ 1.0 x) (- 1.0 x))
24.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(log (exp (/ (+ 1.0 x) (- 1.0 x))))
89.0ms	(exp (/ (+ 1.0 x) (- 1.0 x)))
31.0ms	(/ (+ 1.0 x) (- 1.0 x))
126.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	427	1199
1	1246	1094
2	5001	1065

prune344.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (log (exp (/ (+ 1.0 x) (- 1.0 x))))))
5.8b	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
5.8b	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
5.8b	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
90×	`log-prod`
85×	`log-pow`
78×	`exp-prod`
62×	`add-sqr-sqrt`
60×	`times-frac`
38×	`add-cube-cbrt`
15×	`distribute-lft-out`
12×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
7×	`add-exp-log`
6×	`associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `rem-log-exp` `flip--` `div-inv`
1×	`pow1/3`

Counts

4 → 137

Calls

4 calls:

1.0ms	(cbrt (log (log (exp (/ (+ 1.0 x) (- 1.0 x))))))
23.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
21.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
21.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

series654.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(cbrt (log (log (exp (/ (+ 1.0 x) (- 1.0 x))))))
120.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
125.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))
121.0ms	(log (log (exp (/ (+ 1.0 x) (- 1.0 x)))))

simplify142.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	394	1565
1	1097	1373
2	4733	1300
3	5001	1291

prune441.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes61.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.0s	3471×	body	1280	valid
858.0ms	2463×	body	640	valid
381.0ms	8027×	body	80	nan
281.0ms	1265×	body	320	valid
84.0ms	612×	body	160	valid
13.0ms	189×	body	80	valid