Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	284×	body	80	valid
0.0ms	1×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.9b	(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

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:

6.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series230.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- a t))
198.0ms	(fma (/ y (- a t)) (- z t) x)

simplify113.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (40.0ms)

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

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
0.0b	(/ y (- a t))
8.7b	(* (/ y (- a t)) (- z t))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 145

Calls

3 calls:

16.0ms	(+ (* (/ y (- a t)) (- z t)) x)
6.0ms	(/ y (- a t))
28.0ms	(* (/ y (- a t)) (- z t))

series433.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms	(+ (* (/ y (- a t)) (- z t)) x)
35.0ms	(/ y (- a t))
165.0ms	(* (/ y (- a t)) (- z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	566	1124
1	2255	891
2	5001	883

prune417.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- a t))) x)
0.0b	(/ (- z t) (- a t))
0.6b	(* y (/ (- z t) (- a t)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

9.0ms	(+ (* y (/ (- z t) (- a t))) x)
13.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* y (/ (- z t) (- a t))) x)
55.0ms	(/ (- z t) (- a t))
78.0ms	(* y (/ (- z t) (- a t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	435	778
1	1689	734
2	5002	734

prune324.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(pow (cbrt z) 3)
3.9b	(/ (pow (cbrt z) 3) (/ (- a t) y))
8.4b	(/ t (/ (- a t) y))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

744×	`times-frac`
475×	`add-sqr-sqrt` `*-un-lft-identity`
337×	`add-cube-cbrt`
129×	`cbrt-prod`
126×	`unpow-prod-down` `cube-prod`
69×	`distribute-lft-out--` `difference-of-squares`
38×	`associate-/r*`
25×	`div-inv`
23×	`add-exp-log`
21×	`cube-mult` `unpow3` `associate-/l*` `sqr-pow`
14×	`add-cbrt-cube`
12×	`div-exp`
6×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp`
2×	`pow-pow` `frac-2neg` `pow1/3` `clear-num` `associate-/r/`
1×	`rem-cube-cbrt`

Counts

4 → 541

Calls

4 calls:

1.0ms	(cbrt z)
2.0ms	(pow (cbrt z) 3)
22.0ms	(/ (pow (cbrt z) 3) (/ (- a t) y))
12.0ms	(/ t (/ (- a t) y))

series668.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt z)
244.0ms	(pow (cbrt z) 3)
132.0ms	(/ (pow (cbrt z) 3) (/ (- a t) y))
98.0ms	(/ t (/ (- a t) y))

simplify98.0ms

Algorithm

egg-herbie

Counts

553 → 553

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1330	5210
1	5001	4812

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample573.0ms

Algorithm

intervals

Results

286.0ms	8736×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid