Details

sample296.0ms

Algorithm

intervals

Results

30.0ms

538×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	675	14
3	3242	13
4	5001	13

prune13.0ms

Filtered

1 candidates to 1 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: 8.2b

Counts

2 → 2

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
0.2b	(/ 2.0 (* r r))
6.6b	(* (* (* w w) r) r)
9.4b	(* (* w w) r)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative`
1×	`frac-2neg` `clear-num` `associate-/r*` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
4.0ms	(/ 2.0 (* r r))
7.0ms	(* (* (* w w) r) r)
8.0ms	(* (* w w) r)

series197.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (* (* w w) r) r) 4.5)
25.0ms	(/ 2.0 (* r r))
41.0ms	(* (* (* w w) r) r)
26.0ms	(* (* w w) r)

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	320	459
1	1457	382
2	5001	374

prune259.0ms

Filtered

89 candidates to 58 candidates (65.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	77	12	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	79	12	91

Merged error: 0.1b

Counts

91 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
0.0b	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
0.2b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`prod-diff`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`times-frac` `fma-neg` `swap-sqr` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `fma-udef`
1×	`pow2` `sub-neg` `flip3--` `frac-2neg` `pow-plus` `diff-log` `pow-prod-down` `associate--l+` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

4.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
1.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
4.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5) 3.0)
80.0ms	(fma (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))) 4.5)
25.0ms	(/ 2.0 (* r r))
9.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify46.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	378	1079
1	1315	875
2	5001	837

prune308.0ms

Filtered

101 candidates to 69 candidates (68.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	98	15	113

Merged error: 0.0b

Counts

113 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0))
0.1b	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
0.2b	(/ 2.0 (* r r))
0.4b	(* (fabs (* w r)) (fabs (* w r)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt`
16×	`pow1`
14×	`associate-l`
13×	`prod-exp` `cbrt-unprod`
11×	`associate-+r+`
9×	`prod-diff` `add-log-exp`
8×	`times-frac`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `log1p-expm1-u`
3×	`swap-sqr` `associate-l/` `associate-/l`
2×	`flip3--` `frac-add` `sum-log` `associate-/r/` `*-commutative` `flip--` `div-inv` `unswap-sqr`
1×	`+-commutative` `pow2` `associate-+r-` `sub-neg` `fma-def` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

18.0ms	(+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0))
12.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
4.0ms	(/ 2.0 (* r r))
4.0ms	(* (fabs (* w r)) (fabs (* w r)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r)))) (- 4.5 3.0))
61.0ms	(* (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)) (* (fabs (* w r)) (fabs (* w r))))
24.0ms	(/ 2.0 (* r r))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))

simplify87.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	726	1332
1	3164	1080
2	5002	1059

prune379.0ms

Filtered

129 candidates to 86 candidates (66.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	4	9	13
Picked	1	0	1
Done	0	1	1
Total	131	13	144

Merged error: 0.0b

Counts

144 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (fabs (* w r)) 2) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))))
0.2b	(/ 2.0 (* r r))
0.2b	(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (* (pow (fabs (* w r)) 2) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))))
0.4b	(pow (fabs (* w r)) 2)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`sqrt-prod`
25×	`add-exp-log`
22×	`associate-l`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt` `add-cbrt-cube`
15×	`associate-r`
13×	`times-frac`
11×	`prod-exp`
8×	`unpow-prod-down` `unswap-sqr`
7×	`pow1`
5×	`sqrt-div` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*r/` `associate-/r/` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-unpow` `pow-exp` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `pow-pow` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `associate-/r`

Counts

4 → 123

Calls

4 calls:

14.0ms	(* (pow (fabs (* w r)) 2) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))))
4.0ms	(/ 2.0 (* r r))
19.0ms	(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (* (pow (fabs (* w r)) 2) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))))
2.0ms	(pow (fabs (* w r)) 2)

series438.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (pow (fabs (* w r)) 2) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))))
29.0ms	(/ 2.0 (* r r))
193.0ms	(* (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v))) (* (pow (fabs (* w r)) 2) (sqrt (/ (* 0.125 (- 3.0 (* 2.0 v))) (- 1.0 v)))))
8.0ms	(pow (fabs (* w r)) 2)

simplify77.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	638	1601
1	2477	1458
2	5001	1377

prune419.0ms

Filtered

135 candidates to 90 candidates (66.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	2	9	11
Picked	0	1	1
Done	1	0	1
Total	137	11	148

Merged error: 0.0b

Counts

148 → 11

regimes254.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	22
1	31	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

916.0ms

16882×

body

valid