Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

278×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.5b	(fma (/ (- y z) (- a z)) t x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

13.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series136.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y z) (- a z))
85.0ms	(fma (/ (- y z) (- a z)) t x)

simplify72.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune199.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.4b	(/ 1 (/ (- a z) (- y z)))
2.5b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

12.0ms	(/ (- a z) (- y z))
16.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series374.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- a z) (- y z))
133.0ms	(/ 1 (/ (- a z) (- y z)))
187.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify77.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	620	1891
1	2764	1708
2	5002	1537

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ t (- a z)) (- y z)) x)
0.0b	(/ t (- a z))
7.5b	(* (/ t (- a z)) (- y z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

13.0ms	(+ (* (/ t (- a z)) (- y z)) x)
9.0ms	(/ t (- a z))
27.0ms	(* (/ t (- a z)) (- y z))

series425.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms	(+ (* (/ t (- a z)) (- y z)) x)
32.0ms	(/ t (- a z))
161.0ms	(* (/ t (- a z)) (- y z))

simplify73.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	567	1124
1	2257	891
2	5001	883

prune426.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.0b	(* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt t) (cbrt (- a z))) (- y z)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-cbrt-cube`
38×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
32×	`add-cube-cbrt`
18×	`cbrt-div`
17×	`cbrt-undiv` `div-exp`
15×	`cbrt-prod`
13×	`frac-times` `flip3--` `associate-l` `flip--`
11×	`associate-*r/`
9×	`pow1`
8×	`associate-/r/`
5×	`associate-*l/`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `distribute-lft-out--` `difference-of-squares`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 162

Calls

4 calls:

2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
2.0ms	(cbrt (- a z))
90.0ms	(* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt t) (cbrt (- a z))) (- y z)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (- a z))
172.0ms	(cbrt (- a z))
167.0ms	(cbrt (- a z))
195.0ms	(* (/ (* (cbrt t) (cbrt t)) (* (cbrt (- a z)) (cbrt (- a z)))) (* (/ (cbrt t) (cbrt (- a z))) (- y z)))

simplify136.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	1055	3504
1	4873	1977
2	5001	1945

prune529.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

-6.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	22
1	35	22
2	35	22

end0.0ms

sample540.0ms

Algorithm

intervals

Results

274.0ms	8725×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid