Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.6b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

210×	`add-sqr-sqrt`
144×	`prod-diff`
140×	`*-un-lft-identity`
98×	`add-cube-cbrt` `associate-l`
78×	`associate-r`
46×	`unswap-sqr`
33×	`times-frac`
26×	`*-commutative`
20×	`distribute-lft-out--` `difference-of-squares`
12×	`fma-neg`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-/l*`
2×	`flip3--` `prod-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `pow-prod-down` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 279

Calls

4 calls:

26.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
16.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
19.0ms	(* 1.1283791670955126 (exp z))
64.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
79.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify118.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	775	3609
1	2469	2712
2	5002	2536

prune308.0ms

Filtered

291 candidates to 117 candidates (59.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	286	5	291
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	5	292

Merged error: 0.0b

Counts

292 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

465×	`add-sqr-sqrt`
350×	`*-un-lft-identity`
276×	`times-frac`
197×	`add-cube-cbrt`
154×	`associate-l`
144×	`prod-diff`
98×	`unswap-sqr`
78×	`associate-r`
76×	`distribute-lft-out--`
72×	`difference-of-squares`
43×	`associate-/r*`
30×	`associate-/l*`
26×	`*-commutative`
20×	`add-exp-log`
19×	`associate-/r/`
13×	`add-cbrt-cube`
12×	`fma-neg`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `remove-double-div` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `clear-num` `log1p-expm1-u` `associate-/l/`
3×	`flip3--` `frac-2neg` `flip--`
2×	`rec-exp` `1-exp` `prod-exp`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `cbrt-unprod` `inv-pow`

Counts

4 → 461

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
24.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
30.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series214.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 1.1283791670955126 (exp z))
51.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
64.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
81.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify184.0ms

Algorithm

egg-herbie

Counts

473 → 473

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1191	5802
1	4709	4659
2	5001	4659

prune580.0ms

Filtered

473 candidates to 202 candidates (57.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	469	4	473
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	474	4	478

Merged error: 0.0b

Counts

478 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp z) y)
0.0b	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
0.1b	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
78×	`*-un-lft-identity`
77×	`times-frac`
54×	`add-cube-cbrt`
45×	`associate-r`
29×	`add-exp-log`
24×	`associate-/r*`
19×	`associate-l`
18×	`unswap-sqr`
16×	`add-cbrt-cube`
12×	`difference-of-squares`
11×	`associate-*r/`
10×	`div-exp` `associate-/l*`
9×	`pow1` `prod-exp`
8×	`distribute-lft-out--`
6×	`1-exp` `add-log-exp`
5×	`*-commutative`
4×	`cbrt-undiv` `expm1-log1p-u` `clear-num` `log1p-expm1-u` `div-inv`
3×	`rec-exp` `fma-def` `frac-2neg` `cbrt-unprod`
2×	`pow-flip` `pow-prod-down` `associate-/r/` `un-div-inv` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `inv-pow`

Counts

4 → 196

Calls

4 calls:

4.0ms	(/ (exp z) y)
30.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
26.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
9.0ms	(* 1.1283791670955126 (/ (exp z) y))

series155.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (exp z) y)
47.0ms	(+ x (/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))))
64.0ms	(/ 1 (* 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
27.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify110.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	690	1496
1	3633	1372
2	5001	1277

prune544.0ms

Filtered

208 candidates to 114 candidates (45.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	209	3	212

Merged error: 0.0b

Counts

212 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* (cbrt y) (cbrt y))

series770.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt y)
187.0ms	(cbrt y)
183.0ms	(cbrt y)
210.0ms	(* (cbrt y) (cbrt y))

simplify110.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	128	331
1	525	287
2	3248	261
3	5001	258

prune224.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

regimes123.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	22	12
2	22	12

end0.0ms

sample418.0ms

Algorithm

intervals

Results

253.0ms

8000×

body

valid