Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	267×	body	80	valid
0.0ms	1×	body	1280	valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (31.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
2.7b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite25.0ms

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:

23.0ms	(/ a (+ (- t z) 1.0))
0.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series208.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ a (+ (- t z) 1.0))
164.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify97.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	209	330
1	714	301
2	3086	297
3	5001	297

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.4b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

36.0ms	(/ (+ (- t z) 1.0) a)
30.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series177.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ (- t z) 1.0) a)
137.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify80.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	639	1777
1	2468	1714
2	5001	1713

prune446.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

2 → 106

Calls

2 calls:

26.0ms	(/ (- y z) (+ (- t z) 1.0))
56.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series199.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ (- y z) (+ (- t z) 1.0))
145.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify52.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	388	776
1	1314	719
2	5002	715

prune502.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

9.4b	(/ (- y z) (* (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))) (cbrt (/ (+ (- t z) 1.0) a))))
12.7b	(cbrt (/ (+ (- t z) 1.0) a))
12.7b	(cbrt (/ (+ (- t z) 1.0) a))
12.7b	(cbrt (/ (+ (- t z) 1.0) a))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
57×	`cbrt-prod`
50×	`times-frac`
37×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
18×	`distribute-lft-out`
15×	`cbrt-div`
13×	`add-exp-log`
11×	`distribute-lft-out--`
9×	`add-cbrt-cube`
7×	`associate-/r/`
5×	`frac-times` `associate-l/` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/l/` `difference-of-squares`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r*` `flip--`

Counts

4 → 129

Calls

4 calls:

114.0ms	(/ (- y z) (* (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))) (cbrt (/ (+ (- t z) 1.0) a))))
10.0ms	(cbrt (/ (+ (- t z) 1.0) a))
10.0ms	(cbrt (/ (+ (- t z) 1.0) a))
10.0ms	(cbrt (/ (+ (- t z) 1.0) a))

series670.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(/ (- y z) (* (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))) (cbrt (/ (+ (- t z) 1.0) a))))
164.0ms	(cbrt (/ (+ (- t z) 1.0) a))
163.0ms	(cbrt (/ (+ (- t z) 1.0) a))
169.0ms	(cbrt (/ (+ (- t z) 1.0) a))

simplify66.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	473	1786
1	1449	1623
2	5001	1492

prune495.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample544.0ms

Algorithm

intervals

Results

284.0ms	8502×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid