Details

sample843.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

10.0ms

281×

body

valid

simplify46.0ms

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: 10.1b

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)
10.4b	(/ (* (- 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)
8.0ms	(/ (* (- y z) t) (- a z))

series51.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
18.0ms	(/ (* (- y z) t) (- a z))

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

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

prune81.0ms

Filtered

52 candidates to 72 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
9.8b	(* (- y z) (/ t (- a z)))

rewrite22.0ms

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))))
5.0ms	(/ t (- a z))
12.0ms	(* (- y z) (/ t (- a z)))

series49.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* (- y z) (/ t (- a z))))
7.0ms	(/ t (- a z))
15.0ms	(* (- y z) (/ t (- a z)))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (9.0ms)

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

prune90.0ms

Filtered

74 candidates to 103 candidates (-39.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.3b	(/ (- y z) (/ (- a z) t))

rewrite52.0ms

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:

25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
7.0ms	(/ (- a z) t)
11.0ms	(/ (- y z) (/ (- a z) t))

series56.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (- y z) (/ (- a z) t)))
9.0ms	(/ (- a z) t)
22.0ms	(/ (- y z) (/ (- a z) t))

simplify69.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (16.0ms)

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

prune140.0ms

Filtered

133 candidates to 197 candidates (-48.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	197	5	202

Merged error: 0b

Counts

202 → 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))
1.6b	(* (/ (- y z) (- a z)) t)

rewrite25.0ms

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:

2.0ms	(+ x (* (/ (- y z) (- a z)) t))
7.0ms	(/ (- y z) (- a z))
11.0ms	(* (/ (- y z) (- a z)) t)

series57.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* (/ (- y z) (- a z)) t))
9.0ms	(/ (- y z) (- a z))
21.0ms	(* (/ (- y z) (- a z)) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (31.0ms)

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

prune83.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Merged error: 0b

Counts

127 → 5

regimes501.0ms

Accuracy

21.5% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.2b

bsearch45.0ms

Steps

Iters	Range		Point
8	25.468614628534734	10427.475396310787	242.95238436737986
10	-2.611070620327712e-64	-2.3791922013366896e-76	-2.0584753903357456e-67

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

332.0ms	8720×	body	80	valid
0.0ms	1×	body	1280	valid
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

sample843.0ms

simplify46.0ms

prune4.0ms

localize8.0ms

rewrite23.0ms

series51.0ms

simplify38.0ms

prune81.0ms

localize8.0ms

rewrite22.0ms

series49.0ms

simplify41.0ms

prune90.0ms

localize8.0ms

rewrite52.0ms

series56.0ms

simplify69.0ms

prune140.0ms

localize8.0ms

rewrite25.0ms

series57.0ms

simplify40.0ms

prune83.0ms

regimes501.0ms

bsearch45.0ms

simplify1.0ms

end0.0ms

sample1.7s

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