Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

285×

body

valid

simplify47.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 10.9b

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)
10.9b	(/ (* (- y z) t) (- a z))

rewrite27.0ms

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

series154.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ x (/ (* (- y z) t) (- a z)))
29.0ms	(* (- y z) t)
58.0ms	(/ (* (- y z) t) (- a z))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

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

prune132.0ms

Filtered

72 candidates to 52 candidates (72.2%)

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: 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))
10.6b	(* (- y z) (/ t (- a z)))

rewrite28.0ms

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))
13.0ms	(* (- y z) (/ t (- a z)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ x (* (- y z) (/ t (- a z))))
29.0ms	(/ t (- a z))
59.0ms	(* (- y z) (/ t (- a z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	365	574
1	1604	535
2	5002	535

prune176.0ms

Filtered

103 candidates to 75 candidates (72.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
11.2b	(/ (- y z) (/ (- a z) t))

rewrite58.0ms

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:

27.0ms	(+ x (/ (- y z) (/ (- a z) t)))
6.0ms	(/ (- a z) t)
12.0ms	(/ (- y z) (/ (- a z) t))

series201.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (/ (- y z) (/ (- a z) t)))
38.0ms	(/ (- a z) t)
92.0ms	(/ (- y z) (/ (- a z) t))

simplify77.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (19.0ms)

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

prune358.0ms

Filtered

197 candidates to 133 candidates (67.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	197	4	201

Merged error: 0b

Counts

201 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ (* (- y z) t) (- a z))))
0.3b	(* (sqrt (+ x (/ (* (- y z) t) (- a z)))) (sqrt (+ x (/ (* (- y z) t) (- a z)))))
10.9b	(/ (* (- y z) t) (- a z))
10.9b	(/ (* (- y z) t) (- a z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
30×	`sqrt-prod`
20×	`pow1`
17×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
14×	`sqrt-div`
11×	`swap-sqr`
10×	`times-frac` `associate-/r*`
9×	`sqrt-pow1` `pow1/2`
7×	`flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
6×	`associate-*l/`
5×	`pow-prod-up`
4×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`pow-prod-down` `prod-exp` `pow-sqr` `cbrt-unprod`
2×	`frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `*-commutative`

Counts

4 → 136

Calls

4 calls:

10.0ms	(sqrt (+ x (/ (* (- y z) t) (- a z))))
19.0ms	(* (sqrt (+ x (/ (* (- y z) t) (- a z)))) (sqrt (+ x (/ (* (- y z) t) (- a z)))))
9.0ms	(/ (* (- y z) t) (- a z))
9.0ms	(/ (* (- y z) t) (- a z))

series372.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(sqrt (+ x (/ (* (- y z) t) (- a z))))
73.0ms	(* (sqrt (+ x (/ (* (- y z) t) (- a z)))) (sqrt (+ x (/ (* (- y z) t) (- a z)))))
63.0ms	(/ (* (- y z) t) (- a z))
59.0ms	(/ (* (- y z) t) (- a z))

simplify56.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	387	1201
1	1633	1066
2	5003	1040

prune266.0ms

Filtered

148 candidates to 87 candidates (58.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	148	4	152

Merged error: 0b

Counts

152 → 4

regimes203.0ms

Accuracy

78.7% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	23
1	27	23

end0.0ms

sample661.0ms

Algorithm

intervals

Results

366.0ms

8700×

body

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

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