Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	9	3
2	9	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 47

Calls

1 calls:

23.0ms

(/ (+ x 1.0) (- 1.0 x))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify81.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	214	315
1	711	297
2	2979	293
3	5001	292

prune78.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 191

Calls

3 calls:

26.0ms	(/ (+ x 1.0) (- 1.0 x))
19.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
20.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series107.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (+ x 1.0) (- 1.0 x))
31.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
47.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify73.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	571	1488
1	2500	1380
2	5001	1362

prune247.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

407×	`*-un-lft-identity`
369×	`cbrt-prod`
356×	`unpow-prod-down` `cube-prod`
280×	`times-frac`
267×	`add-sqr-sqrt`
155×	`add-cube-cbrt`
70×	`distribute-lft-out`
56×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r/`
14×	`flip3--` `flip--` `div-inv`
11×	`add-exp-log`
10×	`cube-mult` `unpow3` `sqr-pow`
8×	`pow-exp` `add-cbrt-cube`
7×	`cube-div`
6×	`pow-unpow`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `cbrt-div` `rem-cube-cbrt`
2×	`pow-pow` `pow1/3` `div-exp`
1×	`cbrt-undiv` `rem-cbrt-cube`

Counts

4 → 483

Calls

4 calls:

44.0ms	(cbrt (pow (pow (/ (+ x 1.0) (- 1.0 x)) 3) 3))
51.0ms	(cbrt (cbrt (pow (pow (/ (+ x 1.0) (- 1.0 x)) 3) 3)))
45.0ms	(pow (pow (/ (+ x 1.0) (- 1.0 x)) 3) 3)
20.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series217.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (pow (pow (/ (+ x 1.0) (- 1.0 x)) 3) 3))
31.0ms	(cbrt (cbrt (pow (pow (/ (+ x 1.0) (- 1.0 x)) 3) 3)))
67.0ms	(pow (pow (/ (+ x 1.0) (- 1.0 x)) 3) 3)
54.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify151.0ms

Algorithm

egg-herbie

Counts

495 → 495

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	860	5253
1	4032	4154
2	5002	4118

prune384.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- 1.0 x))
0.1b	(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r*`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `flip3--` `flip3-+` `1-exp` `associate-*l/` `flip--` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 94

Calls

2 calls:

14.0ms	(/ 1 (- 1.0 x))
41.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

series49.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ 1 (- 1.0 x))
28.0ms	(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	370	538
1	1782	467
2	5001	421

prune147.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	7
1	11	7

end0.0ms

sample228.0ms

Algorithm

intervals

Results

124.0ms

8000×

body

valid