Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

275×

body

valid

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

Filtered

1 candidates to 0 candidates (100.0%)

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: 11.6b

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)
11.5b	(/ (* (- y z) t) (- a z))

rewrite22.0ms

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:

6.0ms	(+ 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:

26.0ms	(+ x (/ (* (- y z) t) (- a z)))
7.0ms	(* (- y z) t)
18.0ms	(/ (* (- y z) t) (- a z))

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

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

prune111.0ms

Filtered

72 candidates to 52 candidates (27.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
4.0b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite41.0ms

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

series103.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- a z))
26.0ms	(cbrt (- a z))
26.0ms	(cbrt (- a z))
22.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify69.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (56.0ms)

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

prune156.0ms

Filtered

134 candidates to 107 candidates (20.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	133	9	142

Merged error: 0b

Counts

142 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ x (* (- y z) (/ t (- a z))))
11.0b	(* (- y z) (/ t (- a z)))

rewrite23.0ms

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:

5.0ms	(/ t (- a z))
3.0ms	(+ x (* (- y z) (/ t (- a z))))
12.0ms	(* (- y z) (/ t (- a z)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ t (- a z))
29.0ms	(+ x (* (- y z) (/ t (- a z))))
16.0ms	(* (- y z) (/ t (- a z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (10.0ms)

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

prune101.0ms

Filtered

103 candidates to 72 candidates (30.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	103	9	112

Merged error: 0b

Counts

112 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (- y z) (* t (/ 1 (- a z)))))
0.0b	(/ 1 (- a z))
0.2b	(* t (/ 1 (- a z)))
11.0b	(* (- y z) (* t (/ 1 (- a z))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-*r/` `div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 128

Calls

4 calls:

3.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
5.0ms	(/ 1 (- a z))
10.0ms	(* t (/ 1 (- a z)))
13.0ms	(* (- y z) (* t (/ 1 (- a z))))

series58.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (* (- y z) (* t (/ 1 (- a z)))))
5.0ms	(/ 1 (- a z))
7.0ms	(* t (/ 1 (- a z)))
16.0ms	(* (- y z) (* t (/ 1 (- a z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	445	736
1	1858	634
2	5001	589

prune97.0ms

Filtered

140 candidates to 80 candidates (42.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	140	9	149

Merged error: 0b

Counts

149 → 9

regimes615.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample744.0ms

Algorithm

intervals

Results

298.0ms	8718×	body	80	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

sample27.0ms

simplify45.0ms

prune4.0ms

localize8.0ms

rewrite22.0ms

series51.0ms

simplify37.0ms

prune111.0ms

localize12.0ms

rewrite41.0ms

series103.0ms

simplify69.0ms

prune156.0ms

localize8.0ms

rewrite23.0ms

series52.0ms

simplify45.0ms

prune101.0ms

localize10.0ms

rewrite36.0ms

series58.0ms

simplify54.0ms

prune97.0ms

regimes615.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample744.0ms

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