Details

analyze1.7s (33.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	15×	body	80	invalid

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5060	17

prune9.0ms (0.2%)

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: 21.6b

Counts

2 → 1

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
20.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`sub-neg` `associate-l` `add-log-exp`
4×	`associate-*r/`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-+r+` `flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 92

Calls

4 calls:

12.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
6.0ms	(* z (- t a))
6.0ms	(* z (- b y))
4.0ms	(+ (* x y) (* z (- t a)))

series119.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(* z (- b y))
7.0ms	(* z (- t a))

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5221	1306

prune203.0ms (4.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	11	105

Merged error: 21.0b

Counts

105 → 11

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.2b	(/ 1 (+ y (* z (- b y))))
0.7b	(+ (* x y) (* z (- t a)))
20.8b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))
7.0ms	(* z (- b y))
5.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))

series132.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))
17.0ms	(/ 1 (+ y (* z (- b y))))
13.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(* z (- b y))

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4976	1663
1	4976	1663

prune188.0ms (3.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	124	11	135

Merged error: 21.0b

Counts

135 → 11

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.7b	(+ (* x y) (* z (- t a)))
20.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (- b y) (cbrt z)))))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
4×	`pow1`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`sub-neg` `associate-+r+` `pow1/3` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 66

Calls

4 calls:

10.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (- b y) (cbrt z)))))
4.0ms	(+ (* x y) (* z (- t a)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series170.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (- b y) (cbrt z)))))
21.0ms	(cbrt z)
21.0ms	(cbrt z)
13.0ms	(+ (* x y) (* z (- t a)))

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4971	1070
1	4971	1070

prune127.0ms (2.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	78	11	89

Merged error: 21.0b

Counts

89 → 11

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- b y))
0.6b	(cbrt (- b y))
0.7b	(+ (* x y) (* z (- t a)))
20.8b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y))))))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`associate-r`
14×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`times-frac`
10×	`cbrt-prod`
9×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`cbrt-div` `flip3-+` `prod-exp` `flip-+`
3×	`associate-l` `unswap-sqr`
2×	`frac-times` `sub-neg` `associate-+r+` `flip3--` `pow1/3` `div-exp` `associate-*l/` `associate-/r/` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 85

Calls

4 calls:

12.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y))))))
4.0ms	(+ (* x y) (* z (- t a)))
3.0ms	(cbrt (- b y))
3.0ms	(cbrt (- b y))

series161.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* (* z (* (cbrt (- b y)) (cbrt (- b y)))) (cbrt (- b y))))))
28.0ms	(cbrt (- b y))
26.0ms	(cbrt (- b y))
14.0ms	(+ (* x y) (* z (- t a)))

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4999	1361
1	4999	1361

prune124.0ms (2.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	94	14	108

Merged error: 21.0b

Counts

108 → 14

regimes895.0ms (18.1%)

Accuracy

Total 0.7b remaining (3%)

Threshold costs 0.7b (3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

end0.0ms (0%)

sample712.0ms (14.4%)

Algorithm

1×

intervals

Results

406.0ms	8000×	body	80	valid
20.0ms	422×	body	80	invalid

Details

analyze1.7s (33.8%)

sample28.0ms (0.6%)

simplify61.0ms (1.2%)

prune9.0ms (0.2%)

localize13.0ms (0.3%)

rewrite30.0ms (0.6%)

series119.0ms (2.4%)

simplify39.0ms (0.8%)

prune203.0ms (4.1%)

localize14.0ms (0.3%)

rewrite30.0ms (0.6%)

series132.0ms (2.7%)

simplify53.0ms (1.1%)

prune188.0ms (3.8%)

localize17.0ms (0.4%)

rewrite17.0ms (0.4%)

series170.0ms (3.4%)

simplify40.0ms (0.8%)

prune127.0ms (2.6%)

localize19.0ms (0.4%)

rewrite25.0ms (0.5%)

series161.0ms (3.3%)

simplify43.0ms (0.9%)

prune124.0ms (2.5%)

regimes895.0ms (18.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample712.0ms (14.4%)

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