Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

337×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (12.0ms)

Iter	Nodes	Cost
0	25	8
1	50	8
2	106	8
3	208	8
4	322	6
5	520	6
6	1439	6
7	5002	6

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
8.7b	(/ (fma z (- 1.0 t) 1) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma z (- 1.0 t) 1)
0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
2.0ms	(/ (fma z (- 1.0 t) 1) z)

series138.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(fma z (- 1.0 t) 1)
89.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
30.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	156	346
1	396	307
2	1684	305
3	5002	304

prune193.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify103.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	59	106
1	137	92
2	598	90
3	3188	89
4	5002	89

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
0.6b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
0.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
1.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

series919.0ms

Counts

4 → 12

Calls

4 calls:

365.0ms	(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
181.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
187.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
186.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

simplify154.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	302	1463
1	974	1340
2	4786	1218
3	5001	1194

prune326.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.6b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.9b	(pow (cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))) 4)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
3.0ms	(pow (cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))) 4)

series1.1s

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
189.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
185.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
563.0ms	(pow (cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))) 4)

simplify137.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	382	1134
1	1100	1039
2	4705	999
3	5001	996

prune392.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes286.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample661.0ms

Algorithm

intervals

Results

405.0ms

10369×

body

valid