Details

analyze844.0ms

Algorithm: search

sample30.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
5.0ms	114×	body	80	invalid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune4.0ms

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: 5.6b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(/ y (* z 3.0))
0.4b	(* (* z 3.0) y)
9.2b	(/ t (* (* z 3.0) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac` `associate-/l*`
5×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down`
2×	`associate-+l+` `frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out--`

Counts

4 → 81

Calls

4 calls:

13.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
4.0ms	(/ y (* z 3.0))
4.0ms	(* (* z 3.0) y)
5.0ms	(/ t (* (* z 3.0) y))

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms	(/ y (* z 3.0))
3.0ms	(* (* z 3.0) y)
6.0ms	(/ t (* (* z 3.0) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	405	532
1	2039	469
2	5001	469

prune144.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
3.1b	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`add-sqr-sqrt`
22×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
18×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
14.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series75.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
21.0ms	(cbrt t)
24.0ms	(cbrt t)
10.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	519	882
1	2979	728
2	5001	657

prune139.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b	(/ y (* z 3.0))
0.4b	(/ t (* z 3.0))
6.1b	(/ (/ t (* z 3.0)) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
29×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`cbrt-undiv` `div-exp` `add-log-exp`
7×	`div-inv`
5×	`associate-/r*`
4×	`pow1`
3×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
2×	`associate-+l+` `frac-add` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 109

Calls

4 calls:

14.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms	(/ y (* z 3.0))
4.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

series32.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms	(/ y (* z 3.0))
3.0ms	(/ t (* z 3.0))
6.0ms	(/ (/ t (* z 3.0)) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	482	721
1	1906	657
2	5001	657

prune154.0ms

Filtered

87 candidates to 121 candidates (-39.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	121	9	130

Merged error: 0.0b

Counts

130 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
0.2b	(* 0.3333333333333333 (/ t z))
0.2b	(/ y (* z 3.0))
6.1b	(/ (* 0.3333333333333333 (/ t z)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
21×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `times-frac`
13×	`associate-r`
9×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-/r` `associate-/l`
3×	`associate-l` `div-inv`
2×	`associate-+l+` `frac-2neg` `associate-*r/` `frac-add` `clear-num` `sum-log` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `*-commutative` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 96

Calls

4 calls:

8.0ms	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
6.0ms	(* 0.3333333333333333 (/ t z))
4.0ms	(/ y (* z 3.0))
6.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

series29.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ (- x (/ y (* z 3.0))) (/ (* 0.3333333333333333 (/ t z)) y))
3.0ms	(* 0.3333333333333333 (/ t z))
3.0ms	(/ y (* z 3.0))
6.0ms	(/ (* 0.3333333333333333 (/ t z)) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	494	588
1	2190	525
2	5001	525

prune107.0ms

Filtered

73 candidates to 108 candidates (-47.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	108	9	117

Merged error: 0.0b

Counts

117 → 9

regimes391.0ms

Accuracy

27.9% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.7s

Steps

Iters	Range		Point
10	2.0067176157920955e-68	7.54325622891002e-54	2.46437781624329e-63
10	-4.475330763893871e-280	-2.365526854034352e-290	-4.404504246163591e-280

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	26
1	38	26

end0.0ms

analyze818.0ms

Algorithm: search

sample792.0ms

Algorithm

intervals

Results

365.0ms	8000×	body	80	valid
146.0ms	3224×	body	80	invalid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Details

analyze844.0ms

sample30.0ms

simplify38.0ms

prune4.0ms

localize10.0ms

rewrite29.0ms

series29.0ms

simplify55.0ms

prune144.0ms

localize13.0ms

rewrite21.0ms

series75.0ms

simplify76.0ms

prune139.0ms

localize10.0ms

rewrite31.0ms

series32.0ms

simplify52.0ms

prune154.0ms

localize11.0ms

rewrite26.0ms

series29.0ms

simplify58.0ms

prune107.0ms

regimes391.0ms

bsearch1.7s

simplify2.0ms

end0.0ms

analyze818.0ms

sample792.0ms

Profiling

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7