Details

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

9.0ms	256×	body	80	valid
1.0ms	34×	body	80	invalid

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

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: 10.6b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
11.4b	(/ (* (- y z) t) (- a z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

7.0ms	(+ x (/ (* (- y z) t) (- a z)))
7.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series47.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
15.0ms	(/ (* (- y z) t) (- a z))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	368
1	1401	329
2	5001	329

prune102.0ms

Filtered

52 candidates to 72 candidates (-38.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	7	73

Merged error: 0b

Counts

73 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
3.9b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
31.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series101.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- a z))
26.0ms	(cbrt (- a z))
29.0ms	(cbrt (- a z))
21.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify68.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	615	1421
1	2620	1268
2	5001	1197

prune154.0ms

Filtered

108 candidates to 134 candidates (-24.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	134	7	141

Merged error: 0b

Counts

141 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
14.6b	(/ (- y z) (/ (- a z) t))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
173×	`*-un-lft-identity`
171×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out`

Counts

3 → 188

Calls

3 calls:

28.0ms	(+ x (/ (- y z) (/ (- a z) t)))
5.0ms	(/ (- a z) t)
11.0ms	(/ (- y z) (/ (- a z) t))

series54.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (/ (- y z) (/ (- a z) t)))
6.0ms	(/ (- a z) t)
21.0ms	(/ (- y z) (/ (- a z) t))

simplify71.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	779	1717
1	2986	1664
2	5001	1664

prune157.0ms

Filtered

133 candidates to 197 candidates (-48.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	199	5	204

Merged error: 0b

Counts

204 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ (- y z) (- a z)) t))
0.0b	(/ (- y z) (- a z))
2.1b	(* (/ (- y z) (- a z)) t)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* (/ (- y z) (- a z)) t))
8.0ms	(/ (- y z) (- a z))
12.0ms	(* (/ (- y z) (- a z)) t)

series57.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* (/ (- y z) (- a z)) t))
11.0ms	(/ (- y z) (- a z))
21.0ms	(* (/ (- y z) (- a z)) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	432	753
1	1363	710
2	5002	709

prune95.0ms

Filtered

84 candidates to 122 candidates (-45.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	122	5	127

Merged error: 0b

Counts

127 → 5

regimes390.0ms

Accuracy

-0.2% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch42.0ms

Steps

Iters	Range		Point
2	2.166958390880522e-41	2.39884090945579e-41	2.2797119945194364e-41
11	-4.758546446336334e-151	-2.176343056766049e-174	-3.8362319333927656e-160

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11

end0.0ms

sample4.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

321.0ms	7999×	body	80	valid
25.0ms	678×	body	80	invalid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5

Details

sample2.9s

simplify49.0ms

prune4.0ms

localize12.0ms

rewrite24.0ms

series47.0ms

simplify45.0ms

prune102.0ms

localize12.0ms

rewrite44.0ms

series101.0ms

simplify68.0ms

prune154.0ms

localize8.0ms

rewrite53.0ms

series54.0ms

simplify71.0ms

prune157.0ms

localize8.0ms

rewrite27.0ms

series57.0ms

simplify44.0ms

prune95.0ms

regimes390.0ms

bsearch42.0ms

simplify1.0ms

end0.0ms

sample4.1s

Profiling

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5