Details

analyze1.1s (29.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	13
1	4943	13

prune17.0ms (0.5%)

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: 0.0b

Counts

2 → 2

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
0.0b	(/ (- z y) (+ t (- 1.0 z)))
0.7b	(* a (/ (- z y) (+ t (- 1.0 z))))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`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-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--`

Counts

3 → 113

Calls

3 calls:

15.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))
10.0ms	(/ (- z y) (+ t (- 1.0 z)))
3.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))

series64.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (* a (/ (- z y) (+ t (- 1.0 z)))))
19.0ms	(* a (/ (- z y) (+ t (- 1.0 z))))
10.0ms	(/ (- z y) (+ t (- 1.0 z)))

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	1564
1	4968	1564

prune200.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	6	124

Merged error: 0b

Counts

124 → 6

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
0.0b	(/ 1 (+ t (- 1.0 z)))
0.2b	(* (- z y) (/ 1 (+ t (- 1.0 z))))
0.7b	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))

rewrite47.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

15.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
14.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))
7.0ms	(/ 1 (+ t (- 1.0 z)))
4.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))

series68.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (* a (* (- z y) (/ 1 (+ t (- 1.0 z))))))
19.0ms	(* a (* (- z y) (/ 1 (+ t (- 1.0 z)))))
10.0ms	(* (- z y) (/ 1 (+ t (- 1.0 z))))
5.0ms	(/ 1 (+ t (- 1.0 z)))

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5048	1531

prune216.0ms (5.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	142	6	148

Merged error: 0b

Counts

148 → 6

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
0.7b	(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log`
16×	`pow1`
15×	`add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`pow-prod-down`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r/` `associate-r` `associate-l` `associate-l/` `*-commutative`

Counts

4 → 60

Calls

4 calls:

17.0ms	(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series91.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt a)
24.0ms	(* (* (cbrt a) (cbrt a)) (* (/ (- z y) (+ t (- 1.0 z))) (cbrt a)))
22.0ms	(cbrt a)
22.0ms	(cbrt a)

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4944	502
1	4944	502

prune104.0ms (2.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	72	6	78

Merged error: 0b

Counts

78 → 6

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
0.7b	(* (cbrt a) (* (cbrt a) (/ (- z y) (+ t (- 1.0 z)))))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log`
12×	`cbrt-prod`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`associate-*r/`
1×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative`

Counts

4 → 57

Calls

4 calls:

15.0ms	(* (cbrt a) (* (cbrt a) (/ (- z y) (+ t (- 1.0 z)))))
1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)

series153.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (cbrt a) (* (cbrt a) (/ (- z y) (+ t (- 1.0 z)))))
23.0ms	(cbrt a)
22.0ms	(cbrt a)
21.0ms	(cbrt a)

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4936	492
1	4936	492

prune93.0ms (2.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0b

Counts

75 → 6

regimes531.0ms (14.3%)

Accuracy

Total 0.2b remaining (94.4%)

Threshold costs 0.2b (94.4%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms (0%)

sample628.0ms (16.9%)

Algorithm

1×

intervals

Results

338.0ms	7999×	body	80	valid
19.0ms	471×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze1.1s (29.4%)

sample25.0ms (0.7%)

simplify48.0ms (1.3%)

prune17.0ms (0.5%)

localize10.0ms (0.3%)

rewrite32.0ms (0.9%)

series64.0ms (1.7%)

simplify56.0ms (1.5%)

prune200.0ms (5.4%)

localize11.0ms (0.3%)

rewrite47.0ms (1.3%)

series68.0ms (1.8%)

simplify32.0ms (0.9%)

prune216.0ms (5.8%)

localize16.0ms (0.4%)

rewrite22.0ms (0.6%)

series91.0ms (2.5%)

simplify53.0ms (1.4%)

prune104.0ms (2.8%)

localize14.0ms (0.4%)

rewrite19.0ms (0.5%)

series153.0ms (4.1%)

simplify76.0ms (2.1%)

prune93.0ms (2.5%)

regimes531.0ms (14.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample628.0ms (16.9%)

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