Details

analyze1.2s (17.2%)

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
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample96.0ms (1.4%)

Algorithm

1×

intervals

Results

29.0ms	49×	body	1280	valid
18.0ms	52×	body	640	valid
7.0ms	101×	body	80	valid
7.0ms	4×	body	2560	valid
7.0ms	29×	body	320	valid
3.0ms	21×	body	160	valid
2.0ms	49×	body	80	nan
2.0ms	9×	body	640	nan
1.0ms	23×	body	80	overflowed
1.0ms	3×	body	1280	nan
1.0ms	5×	body	320	nan
1.0ms	5×	body	160	nan

simplify222.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (221.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune10.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 15.9b

Counts

2 → 1

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
2.1b	(log (+ 1.0 (- (* y (exp z)) y)))
4.2b	(- (* y (exp z)) y)

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

8.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
5.0ms	(* y (exp z))
5.0ms	(- (* y (exp z)) y)

series68.0ms (1%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
14.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
8.0ms	(* y (exp z))
7.0ms	(- (* y (exp z)) y)

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5135	1208

prune192.0ms (2.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 4.1b

Counts

90 → 6

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/ z (/ t z))
4.5b	(* y (/ z t))
4.8b	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
5.7b	(* y (/ z (/ t z)))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
90×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`associate-*r/` `div-inv`
9×	`add-log-exp`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-add`
3×	`sum-log` `associate-/l*`
2×	`flip3-+` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+r+` `frac-2neg` `clear-num`

Counts

4 → 184

Calls

4 calls:

16.0ms	(* y (/ z (/ t z)))
14.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
7.0ms	(* y (/ z t))
6.0ms	(/ z (/ t z))

series42.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
8.0ms	(* y (/ z (/ t z)))
7.0ms	(/ z (/ t z))
5.0ms	(* y (/ z t))

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4964	2144
1	4964	2144

prune383.0ms (5.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	190	12	202

Merged error: 4.0b

Counts

202 → 12

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

5.7b	(* y (/ z (/ t z)))
20.4b	(cbrt (* y (/ z t)))
20.4b	(cbrt (* y (/ z t)))
20.4b	(cbrt (* y (/ z t)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`times-frac`
49×	`add-sqr-sqrt`
44×	`associate-r`
40×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `cbrt-div` `pow1/3` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 96

Calls

4 calls:

14.0ms	(* y (/ z (/ t z)))
4.0ms	(cbrt (* y (/ z t)))
4.0ms	(cbrt (* y (/ z t)))
4.0ms	(cbrt (* y (/ z t)))

series72.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (* y (/ z t)))
21.0ms	(cbrt (* y (/ z t)))
20.0ms	(cbrt (* y (/ z t)))
8.0ms	(* y (/ z (/ t z)))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4950	873
1	4950	873

prune220.0ms (3.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	107	13	120

Merged error: 4.0b

Counts

120 → 13

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))
2.4b	(* (/ z t) (cbrt y))
4.8b	(+ (* 1.0 (* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
5.7b	(* y (/ z (/ t z)))

rewrite65.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`times-frac`
68×	`add-sqr-sqrt`
51×	`associate-r`
49×	`add-cube-cbrt` `*-un-lft-identity`
39×	`add-exp-log`
27×	`add-cbrt-cube`
20×	`pow1`
18×	`prod-exp` `cbrt-unprod`
17×	`associate-l`
10×	`associate-*r/` `pow-prod-down`
9×	`add-log-exp`
7×	`unswap-sqr`
6×	`cbrt-undiv` `div-exp`
5×	`cbrt-prod` `associate-*l/` `div-inv`
4×	`frac-add`
3×	`sum-log` `*-commutative`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `associate-+r+` `associate-/r/`

Counts

4 → 146

Calls

4 calls:

23.0ms	(+ (* 1.0 (* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
14.0ms	(* y (/ z (/ t z)))
14.0ms	(* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))
8.0ms	(* (/ z t) (cbrt y))

series61.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* 1.0 (* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
18.0ms	(* (/ z t) (cbrt y))
9.0ms	(* y (/ z (/ t z)))
8.0ms	(* (* (cbrt y) (cbrt y)) (* (/ z t) (cbrt y)))

simplify55.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4953	1751
1	4953	1751

prune257.0ms (3.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	156	15	171

Merged error: 4.0b

Counts

171 → 15

regimes728.0ms (10.9%)

Accuracy

Total 4.2b remaining (53.1%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	230	44
1	230	44

end0.0ms (0%)

sample2.7s (40.3%)

Algorithm

1×

intervals

Results

867.0ms	1428×	body	1280	valid
537.0ms	1559×	body	640	valid
255.0ms	3488×	body	80	valid
218.0ms	974×	body	320	valid
107.0ms	78×	body	2560	valid
79.0ms	1601×	body	80	nan
65.0ms	473×	body	160	valid
64.0ms	253×	body	640	nan
48.0ms	821×	body	80	overflowed
40.0ms	113×	body	1280	nan
32.0ms	179×	body	320	nan
13.0ms	101×	body	160	nan
1.0ms	25×	body	80	invalid

Details

analyze1.2s (17.2%)

sample96.0ms (1.4%)

simplify222.0ms (3.3%)

prune10.0ms (0.1%)

localize14.0ms (0.2%)

rewrite26.0ms (0.4%)

series68.0ms (1%)

simplify55.0ms (0.8%)

prune192.0ms (2.9%)

localize16.0ms (0.2%)

rewrite51.0ms (0.8%)

series42.0ms (0.6%)

simplify70.0ms (1%)

prune383.0ms (5.7%)

localize24.0ms (0.4%)

rewrite29.0ms (0.4%)

series72.0ms (1.1%)

simplify62.0ms (0.9%)

prune220.0ms (3.3%)

localize20.0ms (0.3%)

rewrite65.0ms (1%)

series61.0ms (0.9%)

simplify55.0ms (0.8%)

prune257.0ms (3.8%)

regimes728.0ms (10.9%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.7s (40.3%)

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