Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

261×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (26.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- t z) 1.0)
0.0b	(/ a (+ (- t z) 1.0))
1.9b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
15×	`times-frac`
11×	`associate-+l+`
10×	`distribute-lft-out`
9×	`prod-diff`
8×	`add-log-exp`
6×	`distribute-lft-out--`
5×	`add-exp-log` `fma-def` `associate-/r*` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`flip3-+` `sum-log` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `fma-udef` `div-inv` `difference-of-squares`

Counts

3 → 82

Calls

3 calls:

8.0ms	(+ (- t z) 1.0)
8.0ms	(/ a (+ (- t z) 1.0))
1.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series212.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (- t z) 1.0)
37.0ms	(/ a (+ (- t z) 1.0))
160.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify149.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	274	477
1	916	395
2	4461	382
3	5001	382

prune264.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ t (- 1.0 z)))
1.9b	(fma (/ a (+ t (- 1.0 z))) (- z y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

7.0ms	(/ a (+ t (- 1.0 z)))
1.0ms	(fma (/ a (+ t (- 1.0 z))) (- z y) x)

series197.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ a (+ t (- 1.0 z)))
157.0ms	(fma (/ a (+ t (- 1.0 z))) (- z y) x)

simplify90.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	208	330
1	723	301
2	3087	297
3	5001	297

prune152.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(+ (- t z) 1.0)
0.0b	(/ (+ (- t z) 1.0) a)
10.8b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

889×	`*-un-lft-identity`
713×	`times-frac`
556×	`add-sqr-sqrt`
391×	`add-cube-cbrt`
309×	`prod-diff`
147×	`distribute-lft-out--`
136×	`distribute-lft-out`
81×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
11×	`add-exp-log` `associate-+l+` `add-cbrt-cube` `add-log-exp`
10×	`associate-/l*`
5×	`fma-def`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u` `associate-/l/`
3×	`fma-neg` `div-sub`
2×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `flip--` `flip-+`
1×	`+-commutative` `associate--r-`

Counts

4 → 534

Calls

4 calls:

45.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms	(+ (- t z) 1.0)
9.0ms	(/ (+ (- t z) 1.0) a)
15.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series280.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
15.0ms	(+ (- t z) 1.0)
33.0ms	(/ (+ (- t z) 1.0) a)
139.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify168.0ms

Algorithm

egg-herbie

Counts

546 → 546

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1888	16437
1	5001	12924

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- t z) 1.0)
0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

121×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
51×	`times-frac`
37×	`add-cube-cbrt`
31×	`associate-l`
24×	`distribute-lft-out` `distribute-lft-out--`
12×	`prod-diff` `difference-of-squares`
11×	`add-exp-log` `associate-+l+` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`fma-def` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`flip3-+` `fma-neg` `associate-r` `flip-+`
2×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

4 → 159

Calls

4 calls:

8.0ms	(+ (- t z) 1.0)
3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
11.0ms	(/ (- y z) (+ (- t z) 1.0))
16.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series294.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (- t z) 1.0)
94.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
52.0ms	(/ (- y z) (+ (- t z) 1.0))
133.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify67.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	517	1142
1	1885	1011
2	5003	1008

prune397.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample550.0ms

Algorithm

intervals

Results

299.0ms	8476×	body	80	valid
0.0ms	1×	body	1280	valid