Details

analyze838.0ms (15.3%)

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
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

sample27.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	80	valid
1.0ms	21×	body	80	invalid
1.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5059	15

prune16.0ms (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: 1.5b

Counts

2 → 2

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.2b	(- (tanh (/ t y)) (tanh (/ x y)))
1.1b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.7b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
19×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sub-neg`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

12.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))

series260.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
75.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
68.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))
27.0ms	(tanh (/ x y))

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4987	2251
1	4987	2251

prune205.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	103	9	112

Merged error: 1.4b

Counts

112 → 9

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
1.4b	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))
1.5b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-r/` `associate-l/`
32×	`pow1` `add-exp-log`
27×	`frac-sub`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt` `associate-l`
8×	`associate-r`
7×	`cbrt-prod`
4×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

20.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))
12.0ms	(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
12.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
1.0ms	(cbrt y)

series338.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
120.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
73.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))))
23.0ms	(cbrt y)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	2399
1	4980	2399

prune244.0ms (4.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	1	6	7
Picked	1	0	1
Done	1	0	1
Total	123	12	135

Merged error: 1.0b

Counts

135 → 12

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.5b	(cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
1.5b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
1.5b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
1.5b	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*l/`
36×	`frac-sub`
31×	`add-sqr-sqrt`
24×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
19×	`*-un-lft-identity`
18×	`associate-r`
15×	`associate-l`
13×	`cbrt-prod` `add-cube-cbrt`
11×	`cbrt-div`
10×	`pow1` `add-exp-log`
7×	`add-cbrt-cube`
6×	`unswap-sqr`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 125

Calls

4 calls:

12.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
12.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
12.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
10.0ms	(cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))

series541.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y)))
122.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
118.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))
118.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (cbrt y))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5294	3453

prune318.0ms (5.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	137	12	149

Merged error: 1.0b

Counts

149 → 12

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y))))
0.8b	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y)))
0.9b	(* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y))))
1.4b	(* (* (cbrt y) (cbrt y)) (* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y)))))

rewrite96.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`pow1` `add-exp-log` `associate-*l/`
54×	`pow-prod-down` `prod-exp` `cbrt-unprod`
45×	`add-cbrt-cube`
36×	`frac-sub`
33×	`associate-*r/`
24×	`tanh-def-c` `tanh-def-b` `tanh-def-a`
12×	`add-sqr-sqrt` `associate-r`
11×	`*-un-lft-identity`
10×	`associate-l`
9×	`cbrt-prod` `add-cube-cbrt`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

29.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y)))))
24.0ms	(* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y))))
18.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y)))
15.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y))))

series460.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y))))
123.0ms	(* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y))))
120.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y)))
75.0ms	(* (* (cbrt y) (cbrt y)) (* z (* (* (- (tanh (/ t y)) (tanh (/ x y))) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (cbrt (cbrt y)))))

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4971	3834
1	4971	3834

prune272.0ms (5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	165	3	168
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	167	13	180

Merged error: 0.3b

Counts

180 → 13

regimes709.0ms (12.9%)

Accuracy

Total 1.6b remaining (75.6%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	51
1	33	51

end0.0ms (0%)

sample696.0ms (12.7%)

Algorithm

1×

intervals

Results

390.0ms	7777×	body	80	valid
30.0ms	606×	body	80	invalid
17.0ms	88×	body	640	valid
9.0ms	66×	body	320	valid
8.0ms	31×	body	1280	valid
6.0ms	38×	body	160	valid

Details

analyze838.0ms (15.3%)

sample27.0ms (0.5%)

simplify28.0ms (0.5%)

prune16.0ms (0.3%)

localize11.0ms (0.2%)

rewrite34.0ms (0.6%)

series260.0ms (4.7%)

simplify33.0ms (0.6%)

prune205.0ms (3.7%)

localize15.0ms (0.3%)

rewrite51.0ms (0.9%)

series338.0ms (6.2%)

simplify61.0ms (1.1%)

prune244.0ms (4.5%)

localize25.0ms (0.5%)

rewrite51.0ms (0.9%)

series541.0ms (9.9%)

simplify43.0ms (0.8%)

prune318.0ms (5.8%)

localize24.0ms (0.4%)

rewrite96.0ms (1.7%)

series460.0ms (8.4%)

simplify89.0ms (1.6%)

prune272.0ms (5%)

regimes709.0ms (12.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample696.0ms (12.7%)

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