Details

sample41.0ms

Algorithm

intervals

Results

17.0ms

321×

body

valid

simplify58.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
7.8b	(/ (fma z (- 1.0 t) 1) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
5.0ms	(/ (fma z (- 1.0 t) 1) z)

series105.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
30.0ms	(/ (fma z (- 1.0 t) 1) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	142	296
1	371	268
2	1311	266
3	5001	265

prune131.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (20.0ms)

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

prune43.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite16.0ms

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:

11.0ms	(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
1.0ms	(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)))
1.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

series820.0ms

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))) (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
162.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
163.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))
170.0ms	(cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))

simplify141.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (127.0ms)

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

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`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 → 74

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
1.0ms	(cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
1.0ms	(cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
4.0ms	(pow (cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))) 4)

series1.6s

Counts

4 → 12

Calls

4 calls:

343.0ms	(cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
349.0ms	(cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
343.0ms	(cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y))))
539.0ms	(pow (cbrt (cbrt (fma (- (+ (/ 1 z) 1.0) t) (/ 2.0 t) (/ x y)))) 4)

simplify150.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	375	1324
1	1140	1217
2	4822	1146
3	5001	1146

prune350.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes269.0ms

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

sample751.0ms

Algorithm

intervals

Results

387.0ms

10501×

body

valid