Details

sample60.0ms

Algorithm

intervals

Results

39.0ms

423×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (41.0ms)

Iter	Nodes	Cost
0	38	10
1	118	9
2	428	9
3	1763	9
4	5002	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b	(fma b (- (+ y t) 2.0) x)
0.0b	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b	(* (- t 1.0) a)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `prod-diff` `fma-udef`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

3.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0ms	(fma b (- (+ y t) 2.0) x)
0.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
10.0ms	(* (- t 1.0) a)

series321.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
49.0ms	(fma b (- (+ y t) 2.0) x)
170.0ms	(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
30.0ms	(* (- t 1.0) a)

simplify103.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	260	488
1	831	429
2	4460	414
3	5001	413

prune267.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))
0.2b	(cbrt (- t 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

20.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
2.0ms	(cbrt (- t 1.0))
2.0ms	(cbrt (- t 1.0))
2.0ms	(cbrt (- t 1.0))

series438.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
107.0ms	(cbrt (- t 1.0))
103.0ms	(cbrt (- t 1.0))
104.0ms	(cbrt (- t 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	384	861
1	1305	823
2	5002	757

prune512.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.0b	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
0.3b	(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

14.0ms	(* (- t 1.0) a)
1.0ms	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
1.0ms	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
7.0ms	(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

series11.8s

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- t 1.0) a)
5.7s	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
5.9s	(sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))
164.0ms	(* (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))) (sqrt (fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	347	1239
1	1359	1082
2	5002	1026

prune329.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	12611×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid