Details

analyze1.5s (29.9%)

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
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	8×	body	80	invalid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

prune17.0ms (0.4%)

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: 14.8b

Counts

2 → 2

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
2.8b	(/ (* y z) t)
5.2b	(/ (* y b) t)
14.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

13.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))
5.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y z) t)
4.0ms	(/ (* y b) t)

series58.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))
8.0ms	(+ x (/ (* y z) t))
5.0ms	(/ (* y b) t)
5.0ms	(/ (* y z) t)

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5082	1595

prune207.0ms (4.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	103	10	113
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	104	11	115

Merged error: 13.3b

Counts

115 → 11

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
2.8b	(/ (* y z) t)
2.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
14.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
43×	`times-frac`
39×	`*-un-lft-identity`
32×	`add-exp-log`
31×	`add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/`
7×	`associate-l`
6×	`pow1` `frac-add` `associate-/r*` `unswap-sqr`
5×	`flip3-+` `flip-+` `associate-/l*`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`frac-times` `associate-r/` `associate-l/`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow1/3` `pow-prod-down` `*-commutative`

Counts

4 → 132

Calls

4 calls:

14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
12.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
4.0ms	(/ (* y z) t)
1.0ms	(cbrt t)

series81.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))
21.0ms	(cbrt t)
10.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0ms	(/ (* y z) t)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4953	1973
1	4953	1973

prune217.0ms (4.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	144	11	155

Merged error: 13.3b

Counts

155 → 11

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
2.8b	(/ (* y z) t)
4.7b	(* y (/ b t))
14.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite29.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`distribute-lft-out` `associate-/l*`
4×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+`
3×	`associate-r/` `associate-l*` `prod-exp` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 102

Calls

4 calls:

11.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))
6.0ms	(* y (/ b t))
5.0ms	(+ x (/ (* y z) t))
4.0ms	(/ (* y z) t)

series58.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))
11.0ms	(+ x (/ (* y z) t))
5.0ms	(* y (/ b t))
5.0ms	(/ (* y z) t)

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5068	1468

prune174.0ms (3.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	7	8
Picked	0	1	1
Done	1	1	2
Total	115	10	125

Merged error: 13.3b

Counts

125 → 10

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(/ 1 (/ (+ a (+ 1.0 (* (/ b t) y))) (+ x (* (/ z t) y))))
4.2b	(* (/ z t) y)
4.7b	(* (/ b t) y)
13.8b	(/ (+ a (+ 1.0 (* (/ b t) y))) (+ x (* (/ z t) y)))

rewrite40.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

134×	`times-frac`
112×	`*-un-lft-identity`
90×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
27×	`add-exp-log`
26×	`associate-l`
21×	`associate-/r*` `add-cbrt-cube`
16×	`distribute-lft-out`
11×	`associate-/r/`
10×	`div-exp`
9×	`pow1`
8×	`div-inv`
7×	`associate-/l*`
6×	`cbrt-undiv` `flip3-+` `associate-r` `flip-+`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 195

Calls

4 calls:

11.0ms	(/ 1 (/ (+ a (+ 1.0 (* (/ b t) y))) (+ x (* (/ z t) y))))
9.0ms	(/ (+ a (+ 1.0 (* (/ b t) y))) (+ x (* (/ z t) y)))
6.0ms	(* (/ b t) y)
6.0ms	(* (/ z t) y)

series148.0ms (3%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ 1 (/ (+ a (+ 1.0 (* (/ b t) y))) (+ x (* (/ z t) y))))
33.0ms	(/ (+ a (+ 1.0 (* (/ b t) y))) (+ x (* (/ z t) y)))
5.0ms	(* (/ b t) y)
5.0ms	(* (/ z t) y)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5031	4083

prune291.0ms (5.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	204	3	207
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	206	11	217

Merged error: 13.2b

Counts

217 → 11

regimes938.0ms (19.1%)

Accuracy

Total 4.5b remaining (30.2%)

Threshold costs 0b (0%)

bsearch21.0ms (0.4%)

Steps

Iters	Range		Point
8	371220754270.33215	2616722437500796.0	111388418267126.45

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	42
1	36	42

end0.0ms (0%)

sample797.0ms (16.2%)

Algorithm

1×

intervals

Results

474.0ms	8000×	body	80	valid
16.0ms	277×	body	80	invalid

Details

analyze1.5s (29.9%)

sample28.0ms (0.6%)

simplify3.0ms (0.1%)

prune17.0ms (0.4%)

localize12.0ms (0.3%)

rewrite29.0ms (0.6%)

series58.0ms (1.2%)

simplify40.0ms (0.8%)

prune207.0ms (4.2%)

localize16.0ms (0.3%)

rewrite36.0ms (0.7%)

series81.0ms (1.6%)

simplify76.0ms (1.5%)

prune217.0ms (4.4%)

localize16.0ms (0.3%)

rewrite29.0ms (0.6%)

series58.0ms (1.2%)

simplify40.0ms (0.8%)

prune174.0ms (3.5%)

localize13.0ms (0.3%)

rewrite40.0ms (0.8%)

series148.0ms (3%)

simplify62.0ms (1.3%)

prune291.0ms (5.9%)

regimes938.0ms (19.1%)

bsearch21.0ms (0.4%)

simplify1.0ms (0%)

end0.0ms (0%)

sample797.0ms (16.2%)

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