Details

sample107.0ms

Algorithm

intervals

Results

53.0ms	105×	body	1280	valid
22.0ms	81×	body	640	valid
10.0ms	250×	body	80	nan
7.0ms	42×	body	320	valid
2.0ms	24×	body	160	valid
0.0ms	4×	body	80	valid

simplify14.0ms

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: 59.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite36.0ms

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:

23.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (+ 1.0 x) (- 1.0 x))
120.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify122.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (26.0ms)

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

prune189.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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:

38.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (44.0ms)

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

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
6.6b	(log (+ 1.0 x))
6.6b	(log (/ 1 (- 1.0 x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
37×	`add-sqr-sqrt`
30×	`times-frac`
25×	`log-prod`
23×	`add-cube-cbrt`
13×	`add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
5×	`rem-log-exp` `associate-/r*` `add-cbrt-cube`
4×	`div-exp` `associate-/r/` `log-pow`
3×	`log-div` `associate-/l*` `add-log-exp`
2×	`rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `div-inv` `inv-pow`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `log-rec` `clear-num` `flip-+` `distribute-lft-out`

Counts

3 → 93

Calls

3 calls:

12.0ms	(/ 1 (- 1.0 x))
4.0ms	(log (+ 1.0 x))
7.0ms	(log (/ 1 (- 1.0 x)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1 (- 1.0 x))
47.0ms	(log (+ 1.0 x))
64.0ms	(log (/ 1 (- 1.0 x)))

simplify138.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	349	574
1	1121	513
2	4606	456
3	5001	456

prune148.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (/ 1 (- 1.0 x))) 3)
0.1b	(cbrt (pow (log (/ 1 (- 1.0 x))) 3))
6.6b	(log (+ 1.0 x))
6.6b	(log (/ 1 (- 1.0 x)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`log-prod`
20×	`add-cube-cbrt`
18×	`cbrt-prod`
16×	`pow1` `log-pow`
15×	`times-frac`
12×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log`
5×	`pow-flip` `rem-log-exp` `add-cbrt-cube` `inv-pow`
4×	`add-log-exp`
3×	`log-div` `pow-unpow` `distribute-lft-out--` `difference-of-squares`
2×	`cube-mult` `unpow3` `div-exp` `log-rec` `associate-/r/` `sqr-pow`
1×	`pow-to-exp` `rec-exp` `flip3--` `pow-pow` `flip3-+` `pow1/3` `1-exp` `cube-neg` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 109

Calls

4 calls:

8.0ms	(pow (log (/ 1 (- 1.0 x))) 3)
4.0ms	(cbrt (pow (log (/ 1 (- 1.0 x))) 3))
4.0ms	(log (+ 1.0 x))
7.0ms	(log (/ 1 (- 1.0 x)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(pow (log (/ 1 (- 1.0 x))) 3)
63.0ms	(cbrt (pow (log (/ 1 (- 1.0 x))) 3))
44.0ms	(log (+ 1.0 x))
58.0ms	(log (/ 1 (- 1.0 x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	573	778
1	2232	715
2	5002	709

prune212.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes16.0ms

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	20	12
1	20	12

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	3335×	body	1280	valid
689.0ms	2598×	body	640	valid
215.0ms	8045×	body	80	nan
194.0ms	1250×	body	320	valid
58.0ms	631×	body	160	valid
8.0ms	186×	body	80	valid