Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

279×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 14.1b

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)
14.1b	(/ (* (- y z) t) (- a z))

rewrite26.0ms

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))

series164.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (/ (* (- y z) t) (- a z)))
30.0ms	(* (- y z) t)
59.0ms	(/ (* (- y z) t) (- a z))

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

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

prune150.0ms

Filtered

72 candidates to 52 candidates (72.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	66	6	72
Fresh	0	0	0
Picked	0	1	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))
3.1b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite46.0ms

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))
32.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- a z))
142.0ms	(cbrt (- a z))
143.0ms	(cbrt (- a z))
93.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify72.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	607	1409
1	2587	1256
2	5003	1191

prune374.0ms

Filtered

134 candidates to 107 candidates (79.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
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) (/ t (- a z))))
0.0b	(/ t (- a z))
10.0b	(* (- y z) (/ t (- a z)))

rewrite29.0ms

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))
17.0ms	(* (- y z) (/ t (- a z)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* (- y z) (/ t (- a z))))
34.0ms	(/ t (- a z))
62.0ms	(* (- y z) (/ t (- a z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (11.0ms)

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

prune377.0ms

Filtered

103 candidates to 74 candidates (71.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	103	7	110

Merged error: 0b

Counts

110 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- y z) (/ (- a z) t)))
0.0b	(/ (- a z) t)
10.5b	(/ (- y z) (/ (- a z) t))

rewrite57.0ms

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:

30.0ms	(+ x (/ (- y z) (/ (- a z) t)))
6.0ms	(/ (- a z) t)
11.0ms	(/ (- y z) (/ (- a z) t))

series193.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (- y z) (/ (- a z) t)))
26.0ms	(/ (- a z) t)
95.0ms	(/ (- y z) (/ (- a z) t))

simplify73.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 1 (17.0ms)

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

prune367.0ms

Filtered

197 candidates to 133 candidates (67.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	1	2	3
Picked	0	1	1
Done	1	2	3
Total	198	6	204

Merged error: 0b

Counts

204 → 6

regimes155.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample583.0ms

Algorithm

intervals

Results

328.0ms	8731×	body	80	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

sample22.0ms

simplify50.0ms

prune2.0ms

localize8.0ms

rewrite26.0ms

series164.0ms

simplify42.0ms

prune150.0ms

localize12.0ms

rewrite46.0ms

series527.0ms

simplify72.0ms

prune374.0ms

localize8.0ms

rewrite29.0ms

series173.0ms

simplify48.0ms

prune377.0ms

localize8.0ms

rewrite57.0ms

series193.0ms

simplify73.0ms

prune367.0ms

regimes155.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample583.0ms

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