Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify60.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.4b	(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

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:

11.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series186.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(/ y (- a t))
161.0ms	(fma (/ y (- a t)) (- z t) x)

simplify104.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (37.0ms)

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

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
3.4b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite47.0ms

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:

11.0ms	(/ 1 (- a t))
32.0ms	(* y (/ 1 (- a t)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series223.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- a t))
25.0ms	(* y (/ 1 (- a t)))
161.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (29.0ms)

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

prune224.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (* y (/ 1 (- a t))) (- z t) x)) (cbrt (fma (* y (/ 1 (- a t))) (- z t) x)))
3.4b	(fma (* y (/ 1 (- a t))) (- z t) x)
3.4b	(fma (* y (/ 1 (- a t))) (- z t) x)
3.4b	(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (fma (* y (/ 1 (- a t))) (- z t) x)) (cbrt (fma (* y (/ 1 (- a t))) (- z t) x)))
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)
0.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.7s	(* (cbrt (fma (* y (/ 1 (- a t))) (- z t) x)) (cbrt (fma (* y (/ 1 (- a t))) (- z t) x)))
159.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)
159.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)
160.0ms	(fma (* y (/ 1 (- a t))) (- z t) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	223	910
1	896	820
2	5002	722

prune278.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
12.3b	(/ (* y (- z t)) (- a t))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 94

Calls

3 calls:

19.0ms	(+ x (/ (* y (- z t)) (- a t)))
25.0ms	(* y (- z t))
26.0ms	(/ (* y (- z t)) (- a t))

series164.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (/ (* y (- z t)) (- a t)))
31.0ms	(* y (- z t))
62.0ms	(/ (* y (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	421	660
1	1895	494
2	5002	492

prune193.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample641.0ms

Algorithm

intervals

Results

245.0ms	8767×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid