Details

sample35.0ms

Algorithm

intervals

Results

22.0ms

341×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(* (* z 3.0) y)
9.9b	(/ t (* (* z 3.0) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
21×	`prod-diff`
15×	`times-frac`
9×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

7.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
6.0ms	(* (* z 3.0) y)
7.0ms	(/ t (* (* z 3.0) y))

series110.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- x (/ y (* z 3.0)))
24.0ms	(/ y (* z 3.0))
21.0ms	(* (* z 3.0) y)
31.0ms	(/ t (* (* z 3.0) y))

simplify63.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	460	837
1	2103	613
2	5001	592

prune246.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (* z 3.0)))
0.2b	(/ y (* z 3.0))
0.2b	(/ t (* z 3.0))
2.9b	(/ (/ t (* z 3.0)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`times-frac`
40×	`add-sqr-sqrt` `*-un-lft-identity`
38×	`add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
21×	`prod-diff`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

6.0ms	(- x (/ y (* z 3.0)))
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series107.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (/ y (* z 3.0)))
19.0ms	(/ y (* z 3.0))
19.0ms	(/ t (* z 3.0))
33.0ms	(/ (/ t (* z 3.0)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	542	1030
1	2070	805
2	5001	784

prune348.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.5b	(/ (/ (* (cbrt t) (cbrt t)) z) (* (cbrt y) (cbrt y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
15×	`add-cbrt-cube`
13×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod`
7×	`associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 79

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
9.0ms	(/ (/ (* (cbrt t) (cbrt t)) z) (* (cbrt y) (cbrt y)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt t)
192.0ms	(cbrt t)
184.0ms	(cbrt t)
99.0ms	(/ (/ (* (cbrt t) (cbrt t)) z) (* (cbrt y) (cbrt y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	328	587
1	1168	496
2	5002	458

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (/ y z) 3.0))
0.2b	(/ (/ y z) 3.0)
0.2b	(/ t (* z 3.0))
2.9b	(/ (/ t (* z 3.0)) y)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

312×	`times-frac`
222×	`add-sqr-sqrt`
215×	`*-un-lft-identity`
213×	`add-cube-cbrt`
129×	`prod-diff`
23×	`add-exp-log` `add-cbrt-cube` `div-inv` `associate-/l*`
10×	`cbrt-undiv` `div-exp`
7×	`associate-/r*`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num` `difference-of-squares`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 295

Calls

4 calls:

27.0ms	(- x (/ (/ y z) 3.0))
6.0ms	(/ (/ y z) 3.0)
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series114.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- x (/ (/ y z) 3.0))
20.0ms	(/ (/ y z) 3.0)
27.0ms	(/ t (* z 3.0))
32.0ms	(/ (/ t (* z 3.0)) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

307 → 307

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1511	5344
1	5001	4284

prune822.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	17
1	21	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

712.0ms

11056×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7