Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

323×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- 1.0 t) 1)
0.2b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.0b	(/ (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)

series137.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(fma z (- 1.0 t) 1)
87.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
31.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (41.0ms)

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

prune169.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (/ 1 z) 1.0) t)
0.2b	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
15×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`distribute-lft-out`
7×	`add-log-exp`
5×	`fma-neg` `div-inv`
3×	`distribute-lft-out--`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `fma-udef` `difference-of-squares`

Counts

2 → 50

Calls

2 calls:

77.0ms	(- (+ (/ 1 z) 1.0) t)
0.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(- (+ (/ 1 z) 1.0) t)
57.0ms	(fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))

simplify101.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	180	438
1	618	303
2	3771	285
3	5001	265

prune105.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))))
0.7b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.7b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.7b	(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:

5.0ms	(* (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)))

series865.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
169.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
177.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
182.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

simplify142.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (124.0ms)

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

prune313.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.7b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.7b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
0.7b	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

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

series718.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
180.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
183.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
178.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	191	936
1	455	868
2	1569	848
3	5002	716

prune320.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample713.0ms

Algorithm

intervals

Results

426.0ms

10430×

body

valid