Details

sample97.0ms

Algorithm

intervals

Results

50.0ms	109×	body	1280	valid
18.0ms	71×	body	640	valid
8.0ms	273×	body	80	nan
5.0ms	35×	body	320	valid
3.0ms	30×	body	160	valid
0.0ms	11×	body	80	valid

simplify13.0ms

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	61	6
4	88	6
5	104	6
6	113	6
7	113	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ 1.0 x) (- 1.0 x))
7.5b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

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×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

7.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (+ 1.0 x) (- 1.0 x))
124.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify119.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5001	602

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

21.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify51.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	528	643
1	2205	526
2	5001	525

prune306.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
0.1b	(/ (+ 1.0 x) (- 1.0 x))
0.1b	(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
7.5b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite28.0ms

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×	`associate-/r*` `log-pow`
4×	`associate-/r/` `associate-/l*` `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` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `pow-exp` `clear-num` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 130

Calls

4 calls:

3.0ms	(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
8.0ms	(/ (+ 1.0 x) (- 1.0 x))
3.0ms	(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
11.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series442.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
32.0ms	(/ (+ 1.0 x) (- 1.0 x))
128.0ms	(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
124.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	468	1082
1	1802	1026
2	5002	1013

prune286.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.5b	(log (/ (+ 1.0 x) (- 1.0 x)))
7.5b	(log (/ (+ 1.0 x) (- 1.0 x)))
7.5b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
78×	`log-prod`
60×	`times-frac`
59×	`add-sqr-sqrt`
35×	`add-cube-cbrt`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3--` `div-exp` `flip--` `div-inv`
1×	`pow1/3`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series847.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
122.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
127.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))
316.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify132.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	348	1228
1	1015	1158
2	4399	1100
3	5002	1098

prune349.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes136.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	3353×	body	1280	valid
659.0ms	2516×	body	640	valid
246.0ms	7953×	body	80	nan
200.0ms	1252×	body	320	valid
63.0ms	658×	body	160	valid
10.0ms	221×	body	80	valid