Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

282×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.9b	(fma (/ y (- a t)) (- z t) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series194.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ y (- a t))
167.0ms	(fma (/ y (- a t)) (- z t) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	166	265
1	444	246
2	1278	244
3	4359	243
4	5001	243

prune157.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
2.9b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

6.0ms	(/ 1 (- a t))
17.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series240.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- a t))
31.0ms	(* y (/ 1 (- a t)))
174.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	284	497
1	1119	429
2	4119	381
3	5001	381

prune223.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.9b	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
0.0ms	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

series756.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
190.0ms	(cbrt y)
183.0ms	(cbrt y)
202.0ms	(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- a t))) (- z t) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	82	265
1	195	234
2	777	224
3	5001	222

prune222.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
0.6b	(cbrt (/ 1 (- a t)))
2.9b	(fma (* y (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 106

Calls

4 calls:

4.0ms	(cbrt (/ 1 (- a t)))
4.0ms	(cbrt (/ 1 (- a t)))
4.0ms	(cbrt (/ 1 (- a t)))
0.0ms	(fma (* y (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

series635.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (/ 1 (- a t)))
155.0ms	(cbrt (/ 1 (- a t)))
158.0ms	(cbrt (/ 1 (- a t)))
174.0ms	(fma (* y (* (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t)))) (cbrt (/ 1 (- a t))))) (- z t) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	246	1017
1	593	960
2	2221	896
3	5001	803

prune313.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes270.0ms

Accuracy

88.4% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

end0.0ms

sample547.0ms

Algorithm

intervals

Results

283.0ms	8703×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid