Details

sample51.0ms

Algorithm

intervals

Results

12.0ms	25×	body	1280	valid
10.0ms	210×	body	80	valid
8.0ms	31×	body	640	valid
4.0ms	117×	body	80	nan
3.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
11.2b	(log (/ y (+ z y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `div-inv`
3×	`associate-l` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ y (+ z y))
77.0ms	(* y (log (/ y (+ z y))))
46.0ms	(log (/ y (+ z y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	293	850
1	1242	789
2	4852	759
3	5002	759

prune270.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series505.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
178.0ms	(cbrt y)
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
68.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify72.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	310	1470
1	757	1424
2	2327	1392
3	5001	1324

prune536.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (* (cbrt y) (cbrt y)))
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))
13.0b	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
53×	`cbrt-prod`
49×	`*-un-lft-identity` `times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
7×	`distribute-lft-out`
6×	`pow1`
5×	`rem-log-exp`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`div-exp`
2×	`log-div` `flip3-+` `pow1/3` `log-pow` `flip-+` `div-inv`
1×	`prod-exp`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
4.0ms	(cbrt (* (cbrt y) (cbrt y)))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

series600.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
271.0ms	(cbrt (* (cbrt y) (cbrt y)))
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
74.0ms	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

simplify134.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	380	1170
1	983	1103
2	4158	1082
3	5001	1082

prune578.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt y) (cbrt y)))
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))
4.1b	(exp (log (cbrt (* (cbrt y) (cbrt y)))))
39.2b	(log (/ (* (exp (log (cbrt (* (cbrt y) (cbrt y))))) (cbrt (cbrt y))) (cbrt (+ z y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
51×	`cbrt-prod`
50×	`*-un-lft-identity`
49×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`add-exp-log`
7×	`pow1` `distribute-lft-out`
5×	`exp-prod` `rem-log-exp`
4×	`cbrt-div` `exp-sum` `associate-/r/` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`div-exp`
2×	`log-div` `flip3-+` `pow1/3` `flip-+` `div-inv`
1×	`prod-exp` `rem-exp-log`

Counts

4 → 110

Calls

4 calls:

4.0ms	(cbrt (* (cbrt y) (cbrt y)))
8.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
4.0ms	(exp (log (cbrt (* (cbrt y) (cbrt y)))))
9.0ms	(log (/ (* (exp (log (cbrt (* (cbrt y) (cbrt y))))) (cbrt (cbrt y))) (cbrt (+ z y))))

series689.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt (* (cbrt y) (cbrt y)))
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
272.0ms	(exp (log (cbrt (* (cbrt y) (cbrt y)))))
70.0ms	(log (/ (* (exp (log (cbrt (* (cbrt y) (cbrt y))))) (cbrt (cbrt y))) (cbrt (+ z y))))

simplify133.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	411	1286
1	1006	1200
2	4200	1172
3	5001	1170

prune666.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes60.0ms

Accuracy

0% (0.5b remaining)

Error of 1.2b against oracle of 0.7b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	17
1	22	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

336.0ms	755×	body	1280	valid
310.0ms	6534×	body	80	valid
257.0ms	975×	body	640	valid
103.0ms	3056×	body	80	nan
96.0ms	554×	body	320	valid
33.0ms	304×	body	160	valid