Details

analyze1.6s

Algorithm: search

sample47.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
8.0ms	126×	body	80	invalid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune6.0ms

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: 21.9b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.9b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.1b	(* (* (* z 4.0) t) a)
18.8b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

5.0ms	(* (* x 9.0) y)
4.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms	(* (* (* z 4.0) t) a)
11.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series86.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 9.0) y)
19.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.0ms	(* (* (* z 4.0) t) a)
57.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify70.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune209.0ms

Filtered

57 candidates to 89 candidates (-56.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	76	13	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	13	90

Merged error: 7.7b

Counts

90 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ (* a t) c)
5.1b	(/ b (* z c))
11.2b	(/ (* x y) (* z c))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ (* a t) c)
4.0ms	(/ b (* z c))
6.0ms	(/ (* x y) (* z c))

series27.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* 9.0 (/ (* x y) (* z c)))
5.0ms	(/ (* a t) c)
5.0ms	(/ b (* z c))
8.0ms	(/ (* x y) (* z c))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune220.0ms

Filtered

62 candidates to 104 candidates (-67.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	99	18	117

Merged error: 0.3b

Counts

117 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
3.4b	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.1b	(/ b (* z c))
11.2b	(/ (* x y) (* z c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log`
38×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
32×	`times-frac`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
14×	`cbrt-prod`
13×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`div-inv` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 112

Calls

4 calls:

1.0ms	(cbrt c)
15.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms	(/ b (* z c))
6.0ms	(/ (* x y) (* z c))

series47.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt c)
12.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.0ms	(/ b (* z c))
8.0ms	(/ (* x y) (* z c))

simplify70.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	655	864
1	3304	727
2	5001	688

prune225.0ms

Filtered

87 candidates to 124 candidates (-42.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	126	16	142

Merged error: 0.0b

Counts

142 → 16

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
3.4b	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.1b	(/ b (* z c))
11.1b	(* (/ x z) (/ y c))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
53×	`times-frac`
42×	`add-exp-log`
36×	`add-cube-cbrt` `*-un-lft-identity`
35×	`associate-r` `add-cbrt-cube`
20×	`associate-l`
14×	`cbrt-prod`
13×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`pow1`
5×	`div-inv`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`
1×	`frac-2neg` `pow1/3` `clear-num` `associate-/r*`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt c)
15.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.0ms	(/ b (* z c))
11.0ms	(* (/ x z) (/ y c))

series49.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt c)
10.0ms	(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
5.0ms	(/ b (* z c))
8.0ms	(* (/ x z) (/ y c))

simplify79.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	834	1018
1	3849	881
2	5003	842

prune167.0ms

Filtered

114 candidates to 153 candidates (-34.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	150	19	169

Merged error: 0.0b

Counts

169 → 19

regimes2.4s

Accuracy

15.9% (8.7b remaining)

Error of 8.8b against oracle of 0.1b and baseline of 10.5b

bsearch12.8s

Steps

Iters	Range	Point
11	6.485364277403539e+107	3.1165096147734957e+128	2.7690187604179986e+110
11	3.747433283948066e-175	8.104063441616404e-151	1.0910333717779011e-161
7	-1.3260040557608863e+21	-4.4867915591863615e+19	-4.557509196642518e+19

Iters

Range

Point

6.485364277403539e+107

3.1165096147734957e+128

2.7690187604179986e+110

3.747433283948066e-175

8.104063441616404e-151

1.0910333717779011e-161

-1.3260040557608863e+21

-4.4867915591863615e+19

-4.557509196642518e+19

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	59
1	83	59

end0.0ms

analyze1.6s

Algorithm: search

sample1.4s

Algorithm

intervals

Results

497.0ms	8000×	body	80	valid
330.0ms	4767×	body	80	invalid

Details

analyze1.6s

sample47.0ms

simplify130.0ms

prune6.0ms

localize20.0ms

rewrite29.0ms

series86.0ms

simplify70.0ms

prune209.0ms

localize17.0ms

rewrite24.0ms

series27.0ms

simplify55.0ms

prune220.0ms

localize21.0ms

rewrite30.0ms

series47.0ms

simplify70.0ms

prune225.0ms

localize24.0ms

rewrite37.0ms

series49.0ms

simplify79.0ms

prune167.0ms

regimes2.4s

bsearch12.8s

simplify2.0ms

end0.0ms

analyze1.6s

sample1.4s

Profiling