Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	298×	body	80	valid
8.0ms	312×	body	80	nan

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

19.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
29.0ms	(+ (- 1.0 z) (log z))
80.0ms	(* y (+ (- 1.0 z) (log z)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
180.0ms	(+ (- 1.0 z) (log z))
85.0ms	(* y (+ (- 1.0 z) (log z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune173.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

16.0ms	(cbrt (+ (- 1.0 z) (log z)))
18.0ms	(cbrt (+ (- 1.0 z) (log z)))
16.0ms	(cbrt (+ (- 1.0 z) (log z)))
143.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(cbrt (+ (- 1.0 z) (log z)))
62.0ms	(cbrt (+ (- 1.0 z) (log z)))
55.0ms	(cbrt (+ (- 1.0 z) (log z)))
74.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))

simplify86.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	609	1962
1	2366	1884
2	5002	1654

prune410.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.6b	(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

27.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
23.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
20.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
20.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

series598.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
135.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
135.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
141.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

simplify94.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	771	1952
1	3366	1867
2	5002	1828

prune418.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

449.0ms	(* (cbrt y) (cbrt y))
196.0ms	(cbrt y)
198.0ms	(cbrt y)
200.0ms	(cbrt y)

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune261.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

312.0ms	9158×	body	80	valid
248.0ms	9026×	body	80	nan