Details

analyze5.9s

Algorithm

sampling

Space saved by range analysis: 0.292611%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 11.694336%

sample42.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
3.0ms	38×	body	80	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	116	18
2	329	18
3	935	18
4	2876	18
5	5001	18

prune5.0ms

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: 31.2b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
1.9b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.8b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

9.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
7.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series235.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
66.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
160.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify73.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	587	1179
1	2851	995
2	5002	995

prune231.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 3.0b

Counts

100 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
28.3b	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r/`
8×	`pow1` `flip3-+` `flip-+`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

9.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
8.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
24.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
25.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series187.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
135.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
43.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify97.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	743	3492
1	3439	3277
2	5002	3276

prune477.0ms

Filtered

124 candidates to 161 candidates (-29.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	162	9	171

Merged error: 3.0b

Counts

171 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
0.1b	(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
28.3b	(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
21×	`associate-r`
19×	`times-frac`
15×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-*r/` `clear-num`

Counts

4 → 105

Calls

4 calls:

9.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
7.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
26.0ms	(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
25.0ms	(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series199.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
5.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
139.0ms	(* y (/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
51.0ms	(/ (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify72.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	597	1843
1	2682	1632
2	5001	1632

prune262.0ms

Filtered

84 candidates to 117 candidates (-39.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	118	8	126

Merged error: 0.4b

Counts

126 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))))
0.3b	(* 36.527041698806414 (/ 1 z))
3.4b	(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
6.9b	(/ t (pow z 2))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
35×	`times-frac`
32×	`*-un-lft-identity`
31×	`add-cube-cbrt`
20×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
12×	`unpow-prod-down`
9×	`associate-*r/`
8×	`pow1` `associate-/r*`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-l` `add-log-exp`
5×	`div-exp` `prod-exp`
4×	`sub-neg` `associate--l+` `frac-sub` `unpow2` `unswap-sqr` `sqr-pow`
3×	`flip3-+` `un-div-inv` `cbrt-unprod` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `pow-to-exp` `rec-exp` `flip3--` `frac-2neg` `1-exp` `pow-exp` `clear-num` `sum-log` `flip--`

Counts

4 → 132

Calls

4 calls:

15.0ms	(+ x (* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))))
7.0ms	(* 36.527041698806414 (/ 1 z))
17.0ms	(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
5.0ms	(/ t (pow z 2))

series45.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ x (* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z)))))
2.0ms	(* 36.527041698806414 (/ 1 z))
15.0ms	(* y (- (+ (/ t (pow z 2)) 3.13060547623) (* 36.527041698806414 (/ 1 z))))
5.0ms	(/ t (pow z 2))

simplify70.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	598	895
1	2574	804
2	5002	781

prune189.0ms

Filtered

95 candidates to 144 candidates (-51.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	142	10	152

Merged error: 0.4b

Counts

152 → 10

Details

analyze5.9s

sample42.0ms

simplify56.0ms

prune5.0ms

localize26.0ms

rewrite61.0ms

series235.0ms

simplify73.0ms

prune231.0ms

localize23.0ms

rewrite71.0ms

series187.0ms

simplify97.0ms

prune477.0ms

localize26.0ms

rewrite70.0ms

series199.0ms

simplify72.0ms

prune262.0ms

localize12.0ms

rewrite49.0ms

series45.0ms

simplify70.0ms

prune189.0ms

regimes861.0ms

bsearch2.0ms

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