Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

10.0ms	(/ (- z t) (- z a))
23.0ms	(* y (/ (- z t) (- z a)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- z t) (- z a))
64.0ms	(* y (/ (- z t) (- z a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune228.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- z a)) (cbrt (- z a)))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

19.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))

series578.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
156.0ms	(cbrt (- z t))
147.0ms	(cbrt (- z t))
147.0ms	(cbrt (- z t))

simplify156.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	313	760
1	1021	723
2	4680	670
3	5001	660

prune376.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

63.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
5.0ms	(cbrt (/ (- z t) (- z a)))
5.0ms	(cbrt (/ (- z t) (- z a)))
5.0ms	(cbrt (/ (- z t) (- z a)))

series553.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
134.0ms	(cbrt (/ (- z t) (- z a)))
132.0ms	(cbrt (/ (- z t) (- z a)))
135.0ms	(cbrt (/ (- z t) (- z a)))

simplify155.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	381	3471
1	1199	3405
2	4304	3218
3	5002	3212

prune838.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.6b	(cbrt (- z t))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `associate-/r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 110

Calls

4 calls:

2.0ms	(cbrt (- z a))
2.0ms	(cbrt (- z t))
5.0ms	(cbrt (/ (- z t) (- z a)))
5.0ms	(cbrt (/ (- z t) (- z a)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt (- z a))
152.0ms	(cbrt (- z t))
127.0ms	(cbrt (/ (- z t) (- z a)))
136.0ms	(cbrt (/ (- z t) (- z a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	376	1002
1	789	974
2	2397	964
3	5001	946

prune459.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample531.0ms

Algorithm

intervals

Results

265.0ms	8709×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid