Details

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

9.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify45.0ms

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: 9.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
10.0b	(/ (* (- y z) t) (- a z))

rewrite23.0ms

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)))
6.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series52.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
20.0ms	(/ (* (- y z) t) (- a z))

simplify39.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

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

prune99.0ms

Filtered

52 candidates to 72 candidates (-38.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.0b

Counts

73 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.0b	(+ x (/ (- y z) (/ (- a z) t)))
10.2b	(/ (- y z) (/ (- a z) t))

rewrite54.0ms

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:

5.0ms	(/ (- a z) t)
25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
11.0ms	(/ (- y z) (/ (- a z) t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (- a z) t)
25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
22.0ms	(/ (- y z) (/ (- a z) t))

simplify76.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (17.0ms)

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

prune148.0ms

Filtered

133 candidates to 197 candidates (-48.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	198	5	203

Merged error: 0.0b

Counts

203 → 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))
2.0b	(* (/ (- y z) (- a z)) t)

rewrite30.0ms

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))
10.0ms	(/ (- 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))
10.0ms	(/ (- y z) (- a z))
22.0ms	(* (/ (- y z) (- a z)) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (34.0ms)

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

prune98.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0.0b

Counts

127 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
9.6b	(* (- y z) (/ t (- a z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (- y z) (/ t (- a z))))
7.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series48.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (* (- y z) (/ t (- a z))))
7.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	365	574
1	1604	535
2	5001	535

prune81.0ms

Filtered

75 candidates to 103 candidates (-37.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

regimes340.0ms

Accuracy

-15.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.3b

bsearch51.0ms

Steps

Iters	Range		Point
7	3.3324735705211344e-124	6.394278085310671e-122	7.029265061108465e-123
9	-3.2012121828318774e-301	-3.3782855989379858e-307	-8.889388925480463e-304

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	26	10

end0.0ms

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

320.0ms	7995×	body	80	valid
31.0ms	695×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	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

sample3.1s

simplify45.0ms

prune4.0ms

localize8.0ms

rewrite23.0ms

series52.0ms

simplify39.0ms

prune99.0ms

localize8.0ms

rewrite54.0ms

series53.0ms

simplify76.0ms

prune148.0ms

localize8.0ms

rewrite30.0ms

series57.0ms

simplify46.0ms

prune98.0ms

localize8.0ms

rewrite25.0ms

series48.0ms

simplify44.0ms

prune81.0ms

regimes340.0ms

bsearch51.0ms

simplify2.0ms

end0.0ms

sample3.7s

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