Details

sample138.0ms

Algorithm

intervals

Results

73.0ms	125×	body	1280	valid
29.0ms	82×	body	640	valid
16.0ms	278×	body	80	nan
6.0ms	28×	body	320	valid
2.0ms	15×	body	160	valid
0.0ms	6×	body	80	valid

simplify17.0ms

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: 58.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
4.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

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:

10.0ms	(/ (+ 1.0 x) (- 1.0 x))
6.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ 1.0 x) (- 1.0 x))
123.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify120.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (112.0ms)

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

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

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` `expm1-log1p-u` `associate-r/` `pow-prod-down` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 112

Calls

1 calls:

28.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify53.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	532	653
1	2211	536
2	5002	535

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ 1 (- 1.0 x)) (+ 1.0 x))
0.0b	(/ 1 (- 1.0 x))
4.1b	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-exp-log`
23×	`add-cube-cbrt`
21×	`associate-l`
10×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`div-exp`
5×	`log-div` `rem-log-exp` `associate-/r*`
4×	`frac-times` `flip3-+` `associate-r/` `associate-r*` `associate-/r/` `flip-+`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `pow-prod-down` `associate-*l/` `log-pow` `flip--` `cbrt-unprod` `div-inv`
1×	`distribute-rgt-in` `log-prod` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `*-commutative` `distribute-lft-out` `inv-pow`

Counts

3 → 117

Calls

3 calls:

23.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))
6.0ms	(/ 1 (- 1.0 x))
9.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (/ 1 (- 1.0 x)) (+ 1.0 x))
22.0ms	(/ 1 (- 1.0 x))
123.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	538	694
1	2570	608
2	5002	559

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (log (* (/ 1 (- 1.0 x)) (+ 1.0 x))))
4.1b	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))
4.1b	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))
4.1b	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
16×	`pow1`
15×	`log-div` `rem-log-exp`
12×	`prod-exp`
8×	`log-pow`
6×	`frac-times` `flip3-+` `associate-*r/` `div-exp` `flip-+`
5×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `pow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `log-prod` `1-exp` `associate-*l/`
1×	`pow1/3`

Counts

4 → 81

Calls

4 calls:

7.0ms	(cbrt (log (* (/ 1 (- 1.0 x)) (+ 1.0 x))))
9.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))
9.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))
11.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

series640.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt (log (* (/ 1 (- 1.0 x)) (+ 1.0 x))))
122.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))
122.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))
119.0ms	(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	305	674
1	1116	619
2	5002	586

prune446.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes20.0ms

Accuracy

0% (0.5b 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

1.9s	3368×	body	1280	valid
874.0ms	2523×	body	640	valid
368.0ms	7904×	body	80	nan
274.0ms	1256×	body	320	valid
87.0ms	641×	body	160	valid
13.0ms	212×	body	80	valid