Details

sample28.0ms

Algorithm

intervals

Results

9.0ms

349×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

3.3b	(fma (/ y a) (- z t) x)

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 (/ y a) (- z t) x)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma (/ y a) (- z t) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune37.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
3.3b	(fma (/ y a) (- z t) x)
3.3b	(fma (/ y a) (- z t) x)
3.3b	(fma (/ y a) (- 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 a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)

series413.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (fma (/ y a) (- z t) x)) (cbrt (fma (/ y a) (- z t) x)))
37.0ms	(fma (/ y a) (- z t) x)
36.0ms	(fma (/ y a) (- z t) x)
40.0ms	(fma (/ y a) (- z t) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	183	677
1	652	618
2	2893	532
3	5001	521

prune227.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
7.2b	(/ (* y (- z t)) a)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`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` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

11.0ms	(+ x (/ (* y (- z t)) a))
21.0ms	(* y (- z t))
20.0ms	(/ (* y (- z t)) a)

series121.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (/ (* y (- z t)) a))
31.0ms	(* y (- z t))
43.0ms	(/ (* y (- z t)) a)

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	384	600
1	1632	428
2	5001	420

prune164.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
5.0b	(/ y (/ a (- z t)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 160

Calls

3 calls:

39.0ms	(+ x (/ y (/ a (- z t))))
11.0ms	(/ a (- z t))
19.0ms	(/ y (/ a (- z t)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (/ y (/ a (- z t))))
27.0ms	(/ a (- z t))
47.0ms	(/ y (/ a (- z t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	559	1174
1	2417	1128
2	5002	1122

prune392.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes268.0ms

Accuracy

75% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample751.0ms

Algorithm

intervals

Results

274.0ms

10782×

body

valid