Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

416×

body

valid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

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: 21.0b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
0.5b	(* (* z 4.0) t)
5.6b	(* (* (* z 4.0) t) a)
17.4b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

4.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
5.0ms	(* (* z 4.0) t)
6.0ms	(* (* (* z 4.0) t) a)
10.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series340.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
24.0ms	(* (* z 4.0) t)
30.0ms	(* (* (* z 4.0) t) a)
206.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify65.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	446	680
1	2162	574
2	5001	574

prune239.0ms

Filtered

89 candidates to 55 candidates (61.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 6.4b

Counts

90 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ b (* z c))
6.0b	(/ (* a t) c)
7.7b	(/ (* x y) (* z c))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ b (* z c))
4.0ms	(/ (* a t) c)
6.0ms	(/ (* x y) (* z c))

series112.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(/ b (* z c))
24.0ms	(/ (* a t) c)
28.0ms	(/ (* x y) (* z c))

simplify90.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune259.0ms

Filtered

104 candidates to 62 candidates (59.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	96	8	104
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	101	13	114

Merged error: 1.0b

Counts

114 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ b (* z c))
6.4b	(/ a (/ c t))
7.7b	(/ (* x y) (* z c))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

7.0ms	(* 9.0 (/ (* x y) (* z c)))
4.0ms	(/ b (* z c))
5.0ms	(/ a (/ c t))
5.0ms	(/ (* x y) (* z c))

series323.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(/ b (* z c))
20.0ms	(/ a (/ c t))
32.0ms	(/ (* x y) (* z c))

simplify76.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	634	870
1	3152	746
2	5001	746

prune431.0ms

Filtered

153 candidates to 104 candidates (68.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	149	4	153
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	153	13	166

Merged error: 0.3b

Counts

166 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ (* z c) y)
4.9b	(/ b (* z c))
6.4b	(/ a (/ c t))
6.6b	(/ x (/ (* z c) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 160

Calls

4 calls:

4.0ms	(/ (* z c) y)
4.0ms	(/ b (* z c))
6.0ms	(/ a (/ c t))
6.0ms	(/ x (/ (* z c) y))

series93.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z c) y)
19.0ms	(/ b (* z c))
20.0ms	(/ a (/ c t))
35.0ms	(/ x (/ (* z c) y))

simplify91.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	670	935
1	3037	856
2	5002	856

prune505.0ms

Filtered

172 candidates to 132 candidates (76.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	172	13	185

Merged error: 0.3b

Counts

185 → 13

Details

sample44.0ms

simplify137.0ms

prune3.0ms

localize18.0ms

rewrite27.0ms

series340.0ms

simplify65.0ms

prune239.0ms

localize15.0ms

rewrite25.0ms

series112.0ms

simplify90.0ms

prune259.0ms

localize15.0ms

rewrite27.0ms

series323.0ms

simplify76.0ms

prune431.0ms

localize15.0ms

rewrite25.0ms

series93.0ms

simplify91.0ms

prune505.0ms

regimes726.0ms

bsearch4.0ms

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