Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

287×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite213.0ms

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) (- a t))
24.0ms	(* y (/ (- z t) (- a t)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- z t) (- a t))
62.0ms	(* y (/ (- z t) (- a t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune252.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

49.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
5.0ms	(cbrt (/ (- z t) (- a t)))
5.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

165.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
303.0ms	(cbrt (/ (- z t) (- a t)))
302.0ms	(cbrt (/ (- z t) (- a t)))
304.0ms	(cbrt (/ (- z t) (- a t)))

simplify106.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	449	1623
1	1091	1553
2	3946	1540
3	5001	1510

prune548.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) 1))
1.6b	(cbrt (/ (cbrt (- z t)) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))
3.3b	(cbrt (/ (- z t) (- a t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

140×	`cbrt-prod`
113×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`times-frac`
47×	`add-cube-cbrt`
33×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`

Counts

4 → 151

Calls

4 calls:

6.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) 1))
7.0ms	(cbrt (/ (cbrt (- z t)) (- a t)))
5.0ms	(cbrt (/ (- z t) (- a t)))
5.0ms	(cbrt (/ (- z t) (- a t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (/ (* (cbrt (- z t)) (cbrt (- z t))) 1))
385.0ms	(cbrt (/ (cbrt (- z t)) (- a t)))
295.0ms	(cbrt (/ (- z t) (- a t)))
312.0ms	(cbrt (/ (- z t) (- a t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	579	1784
1	1490	1738
2	5002	1711

prune766.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
9.5b	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`associate-r`
40×	`cbrt-prod` `times-frac`
30×	`cbrt-div`
28×	`associate-*l/`
26×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
123.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- z t))
142.0ms	(cbrt (- z t))
166.0ms	(cbrt (- z t))
69.0ms	(* (* (* (cbrt (- z t)) (cbrt (- z t))) y) (/ (cbrt (- z t)) (- a t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	662	1572
1	3161	1420
2	5001	1364

prune439.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes295.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample531.0ms

Algorithm

intervals

Results

270.0ms	8736×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5