Details

sample93.0ms

Algorithm

intervals

Results

29.0ms	50×	body	1280	valid
15.0ms	46×	body	640	valid
8.0ms	117×	body	80	valid
6.0ms	29×	body	320	valid
4.0ms	3×	body	2560	valid
4.0ms	99×	body	80	nan
3.0ms	61×	body	80	overflowed
2.0ms	13×	body	160	valid
2.0ms	5×	body	1280	nan
1.0ms	5×	body	640	nan
1.0ms	4×	body	320	nan
0.0ms	2×	body	160	nan

simplify220.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	628	7
9	935	7
10	1028	7
11	1354	7
12	3968	7
13	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 25.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.2b	(log (+ (- 1.0 y) (* y (exp z))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

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

series282.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
152.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
35.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5002	726

prune237.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 5.0b

Counts

93 → 6

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
4.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.6b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`associate-*r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
15.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
10.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series278.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
85.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
126.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	334	703
1	1472	634
2	5002	628

prune212.0ms

Filtered

71 candidates to 53 candidates (74.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	66	11	77

Merged error: 5.0b

Counts

77 → 11

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
4.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.7b	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`associate-r`
14×	`add-exp-log` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`times-frac`
10×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-l`
5×	`prod-exp` `add-log-exp`
4×	`flip3-+` `flip-+` `unswap-sqr`
3×	`associate-*r/` `cbrt-unprod`
2×	`frac-times` `div-exp` `pow-prod-down` `associate-l/` `-commutative`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `sum-log` `un-div-inv` `div-inv`

Counts

3 → 73

Calls

3 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
6.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
9.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

series273.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
84.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
121.0ms	(* (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) (/ 1 t))

simplify63.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	445	812
1	2232	722
2	5003	710

prune212.0ms

Filtered

82 candidates to 56 candidates (68.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	82	11	93

Merged error: 5.0b

Counts

93 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.4b	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
4.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.7b	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
7.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series547.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
158.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
86.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
234.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	649	2206
1	3269	2016
2	5001	1930

prune316.0ms

Filtered

158 candidates to 91 candidates (57.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	158	11	169

Merged error: 5.0b

Counts

169 → 11

Details

sample93.0ms

simplify220.0ms

prune3.0ms

localize13.0ms

rewrite26.0ms

series282.0ms

simplify49.0ms

prune237.0ms

localize23.0ms

rewrite31.0ms

series278.0ms

simplify48.0ms

prune212.0ms

localize17.0ms

rewrite22.0ms

series273.0ms

simplify63.0ms

prune212.0ms

localize14.0ms

rewrite28.0ms

series547.0ms

simplify91.0ms

prune316.0ms

regimes571.0ms

bsearch4.0ms

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