Details

analyze878.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5154	161
0	4	4
1	4	4

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample24.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	245×	body	128	valid
1.0ms	16×	body	128	invalid
1.0ms	5×	body	512	valid
1.0ms	2×	body	1024	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5155	23

prune3.0ms (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

Error

4.9b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.2b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite41.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_9635`
15×	`cancel-sign-sub-inv_binary64_9592`
14×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
13×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
11×	`associate-*r/_binary64_9568`
10×	`add-cube-cbrt_binary64_9661`
9×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
8×	`distribute-rgt-in_binary64_9576` `add-log-exp_binary64_9665` `distribute-lft-in_binary64_9575` `associate-+r+_binary64_9558`
5×	`sub-neg_binary64_9619` `associate-r_binary64_9566`
3×	`prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
2×	`flip3--_binary64_9630` `distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `flip--_binary64_9601`
1×	`associate-l_binary64_9567` `diff-log_binary64_9718` `+-commutative_binary64_9556` `*-commutative_binary64_9557` `flip-+_binary64_9600` `sum-log_binary64_9717` `flip3-+_binary64_9629`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
11.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	(tanh.f64 (/.f64 x y))

series896.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

380.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
228.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
209.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
78.0ms	(tanh.f64 (/.f64 x y))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5283	3190

prune123.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Error

0.3b

Counts

106 → 6

Compiler

Compiled 3199 to 916 computations (71.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.6b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
5.1b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite52.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_9568`
27×	`frac-sub_binary64_9635`
21×	`cancel-sign-sub-inv_binary64_9592`
20×	`add-sqr-sqrt_binary64_9648` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
19×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
18×	`*-un-lft-identity_binary64_9626`
14×	`add-cube-cbrt_binary64_9661`
11×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
7×	`sub-neg_binary64_9619`
6×	`associate-l_binary64_9567` `add-log-exp_binary64_9665` `associate-r_binary64_9566`
4×	`prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
3×	`flip3--_binary64_9630` `flip--_binary64_9601`
2×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `*-commutative_binary64_9557`
1×	`diff-log_binary64_9718` `unswap-sqr_binary64_9594`

Counts

4 → 119

Calls

4 calls:

14.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 x y))

series788.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
225.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
212.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
78.0ms	(tanh.f64 (/.f64 x y))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5302	3978

prune149.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	128	9	137

Error

0.3b

Counts

137 → 9

Compiler

Compiled 4076 to 1267 computations (68.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
5.8b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
5.8b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
5.8b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite71.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`associate-*r/_binary64_9568`
36×	`frac-sub_binary64_9635`
33×	`cbrt-div_binary64_9658`
24×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
16×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
12×	`cancel-sign-sub-inv_binary64_9592`
9×	`add-sqr-sqrt_binary64_9648` `add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626` `pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
4×	`flip3--_binary64_9630` `sub-neg_binary64_9619` `add-log-exp_binary64_9665` `flip--_binary64_9601`
3×	`associate-l_binary64_9567` `pow1/3_binary64_9708` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-prod_binary64_9657` `cbrt-unprod_binary64_9659`
1×	`-commutative_binary64_9557` `associate-r*_binary64_9566`

Counts

4 → 105

Calls

4 calls:

14.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
12.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
12.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

series1.8s (19.4%)

Counts

4 → 12

Calls

4 calls:

546.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
540.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
528.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
184.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4996	5235
1	4996	5235

prune201.0ms (2.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	117	9	126

Error

0.3b

Counts

126 → 9

Compiler

Compiled 7910 to 1601 computations (79.8% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.1b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
5.8b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
5.8b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
6.7b	(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`associate-*r/_binary64_9568`
36×	`frac-sub_binary64_9635`
33×	`cbrt-div_binary64_9658`
24×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
16×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
12×	`cancel-sign-sub-inv_binary64_9592`
9×	`add-sqr-sqrt_binary64_9648` `add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626` `pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
4×	`flip3--_binary64_9630` `sub-neg_binary64_9619` `add-log-exp_binary64_9665` `flip--_binary64_9601`
3×	`associate-l_binary64_9567` `pow1/3_binary64_9708` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-prod_binary64_9657` `cbrt-unprod_binary64_9659`
1×	`-commutative_binary64_9557` `associate-r*_binary64_9566`

Counts

4 → 105

Calls

4 calls:

14.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
12.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
12.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
9.0ms	(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series2.0s (21.1%)

Counts

4 → 12

Calls

4 calls:

737.0ms	(cbrt.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
518.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
516.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
192.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5398	5380

prune192.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	5	5
Picked	0	1	1
Done	1	2	3
Total	117	9	126

Error

0.3b

Counts

126 → 9

Compiler

Compiled 7858 to 1595 computations (79.7% saved)

regimes321.0ms (3.5%)

Accuracy

Total 1.1b remaining (58.1%)

Threshold costs 0b (0%)

Compiler

Compiled 4963 to 2591 computations (47.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms (0%)

sample1.3s (14%)

Algorithm

1×

intervals

Results

376.0ms	7766×	body	128	valid
31.0ms	582×	body	128	invalid
16.0ms	101×	body	512	valid
16.0ms	85×	body	1024	valid
4.0ms	48×	body	256	valid

Compiler

Compiled 1031 to 548 computations (46.8% saved)

Details

analyze878.0ms (9.5%)

sample24.0ms (0.3%)

simplify58.0ms (0.6%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite41.0ms (0.4%)

series896.0ms (9.6%)

simplify63.0ms (0.7%)

prune123.0ms (1.3%)

localize11.0ms (0.1%)

rewrite52.0ms (0.6%)

series788.0ms (8.5%)

simplify64.0ms (0.7%)

prune149.0ms (1.6%)

localize19.0ms (0.2%)

rewrite71.0ms (0.8%)

series1.8s (19.4%)

simplify90.0ms (1%)

prune201.0ms (2.2%)

localize21.0ms (0.2%)

rewrite67.0ms (0.7%)

series2.0s (21.1%)

simplify78.0ms (0.8%)

prune192.0ms (2.1%)

regimes321.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (14%)

Profiling