Details

analyze1.0s (24%)

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
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

sample30.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	214×	body	80	valid
2.0ms	11×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	5×	body	1280	valid
1.0ms	12×	body	160	valid
1.0ms	19×	body	80	invalid
0.0ms	1×	body	2560	valid

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4893	13
1	4893	13

prune13.0ms (0.3%)

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: 6.7b

Counts

2 → 2

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ y (* y (/ (- z t) (- t a)))))
0.0b	(/ (- z t) (- t a))
2.5b	(* y (/ (- z t) (- t a)))
4.0b	(+ y (* y (/ (- z t) (- t a))))

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
74×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`associate-/r` `associate-/l`
4×	`sum-log` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`associate-+r+` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out`

Counts

4 → 127

Calls

4 calls:

19.0ms	(* y (/ (- z t) (- t a)))
8.0ms	(/ (- z t) (- t a))
5.0ms	(+ x (+ y (* y (/ (- z t) (- t a)))))
4.0ms	(+ y (* y (/ (- z t) (- t a))))

series87.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (+ y (* y (/ (- z t) (- t a)))))
23.0ms	(+ y (* y (/ (- z t) (- t a))))
16.0ms	(* y (/ (- z t) (- t a)))
10.0ms	(/ (- z t) (- t a))

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5072	1615

prune244.0ms (5.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	126	13	139
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	127	14	141

Merged error: 3.1b

Counts

141 → 14

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t a))
0.5b	(cbrt (- t a))
0.6b	(* y (* (/ (cbrt (- z t)) (cbrt (- t a))) (/ (cbrt (- z t)) (cbrt (- t a)))))
4.0b	(+ y (* (* y (* (/ (cbrt (- z t)) (cbrt (- t a))) (/ (cbrt (- z t)) (cbrt (- t a))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

rewrite39.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`cbrt-prod`
9×	`pow1` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`cbrt-undiv` `cbrt-div` `associate-*r/` `div-exp`
3×	`associate-l` `pow-prod-down`
2×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r` `associate-l/` `sum-log` `-commutative` `flip-+` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

26.0ms	(* y (* (/ (cbrt (- z t)) (cbrt (- t a))) (/ (cbrt (- z t)) (cbrt (- t a)))))
5.0ms	(+ y (* (* y (* (/ (cbrt (- z t)) (cbrt (- t a))) (/ (cbrt (- z t)) (cbrt (- t a))))) (/ (cbrt (- z t)) (cbrt (- t a)))))
3.0ms	(cbrt (- t a))
3.0ms	(cbrt (- t a))

series144.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(* y (* (/ (cbrt (- z t)) (cbrt (- t a))) (/ (cbrt (- z t)) (cbrt (- t a)))))
29.0ms	(cbrt (- t a))
27.0ms	(cbrt (- t a))
24.0ms	(+ y (* (* y (* (/ (cbrt (- z t)) (cbrt (- t a))) (/ (cbrt (- z t)) (cbrt (- t a))))) (/ (cbrt (- z t)) (cbrt (- t a)))))

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5288	1028

prune165.0ms (3.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	81	14	95

Merged error: 3.1b

Counts

95 → 14

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/ z (- t a))
0.0b	(/ t (- t a))
2.5b	(* y (- (/ z (- t a)) (/ t (- t a))))
4.0b	(+ y (* y (- (/ z (- t a)) (/ t (- t a)))))

rewrite57.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 126

Calls

4 calls:

32.0ms	(* y (- (/ z (- t a)) (/ t (- t a))))
7.0ms	(+ y (* y (- (/ z (- t a)) (/ t (- t a)))))
5.0ms	(/ z (- t a))
5.0ms	(/ t (- t a))

series60.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (* y (- (/ z (- t a)) (/ t (- t a)))))
23.0ms	(* y (- (/ z (- t a)) (/ t (- t a))))
7.0ms	(/ z (- t a))
6.0ms	(/ t (- t a))

simplify55.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5189	1425

prune203.0ms (4.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	11	12
Picked	0	1	1
Done	1	0	1
Total	139	13	152

Merged error: 3.1b

Counts

152 → 13

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.5b	(* y (/ (- z t) (- t a)))
4.0b	(+ y (* y (/ (- z t) (- t a))))
4.0b	(+ y (* y (/ (- z t) (- t a))))
4.0b	(+ y (* y (/ (- z t) (- t a))))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
3×	`+-commutative` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `flip--` `div-inv`

Counts

4 → 83

Calls

4 calls:

14.0ms	(* y (/ (- z t) (- t a)))
4.0ms	(+ y (* y (/ (- z t) (- t a))))
4.0ms	(+ y (* y (/ (- z t) (- t a))))
4.0ms	(+ y (* y (/ (- z t) (- t a))))

series88.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (* y (/ (- z t) (- t a))))
23.0ms	(+ y (* y (/ (- z t) (- t a))))
23.0ms	(+ y (* y (/ (- z t) (- t a))))
18.0ms	(* y (/ (- z t) (- t a)))

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5487	1085

prune126.0ms (3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	94	14	108

Merged error: 3.1b

Counts

108 → 14

regimes724.0ms (17.2%)

Accuracy

Total 4.8b remaining (59.4%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	477	80
1	477	80

end0.0ms (0%)

sample777.0ms (18.5%)

Algorithm

1×

intervals

Results

259.0ms	6579×	body	80	valid
65.0ms	452×	body	640	valid
52.0ms	411×	body	320	valid
47.0ms	261×	body	1280	valid
34.0ms	707×	body	80	invalid
24.0ms	277×	body	160	valid
8.0ms	20×	body	2560	valid

Details

analyze1.0s (24%)

sample30.0ms (0.7%)

simplify103.0ms (2.5%)

prune13.0ms (0.3%)

localize10.0ms (0.2%)

rewrite41.0ms (1%)

series87.0ms (2.1%)

simplify47.0ms (1.1%)

prune244.0ms (5.8%)

localize18.0ms (0.4%)

rewrite39.0ms (0.9%)

series144.0ms (3.4%)

simplify44.0ms (1.1%)

prune165.0ms (3.9%)

localize11.0ms (0.3%)

rewrite57.0ms (1.4%)

series60.0ms (1.4%)

simplify55.0ms (1.3%)

prune203.0ms (4.8%)

localize15.0ms (0.4%)

rewrite30.0ms (0.7%)

series88.0ms (2.1%)

simplify52.0ms (1.2%)

prune126.0ms (3%)

regimes724.0ms (17.2%)

bsearch1.0ms (0%)

simplify11.0ms (0.3%)

end0.0ms (0%)

sample777.0ms (18.5%)

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