Details

analyze754.0ms (10.8%)

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms	250×	body	128	valid
5.0ms	22×	body	128	invalid
0.0ms	4×	body	256	valid
0.0ms	2×	body	1024	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify144.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

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

3.7b

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 t y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b	(tanh.f64 (/.f64 x y))
4.3b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_9635`
14×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
12×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
11×	`associate-*r/_binary64_9568`
9×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `cancel-sign-sub-inv_binary64_9592` `add-cbrt-cube_binary64_9662`
8×	`add-cube-cbrt_binary64_9661`
6×	`add-log-exp_binary64_9665`
5×	`associate-r_binary64_9566`
4×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
3×	`sub-neg_binary64_9619` `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_9557`

Counts

4 → 84

Calls

4 calls:

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

series583.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

229.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
202.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
77.0ms	(tanh.f64 (/.f64 x y))
75.0ms	(tanh.f64 (/.f64 t y))

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5059	2820

prune117.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	6	97

Error

1.4b

Counts

97 → 6

Compiler

Compiled 2927 to 937 computations (68% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b	(tanh.f64 (/.f64 x y))
1.1b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite52.0ms (0.7%)

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:

16.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
14.0ms	(.f64 y (.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))

series796.0ms (11.4%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
238.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
207.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
78.0ms	(tanh.f64 (/.f64 x y))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5302	3978

prune147.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	128	9	137

Error

1.3b

Counts

137 → 9

Compiler

Compiled 4052 to 1271 computations (68.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
1.1b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.9b	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
2.4b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))

rewrite68.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*r/_binary64_9568`
32×	`pow1_binary64_9687` `add-exp-log_binary64_9664`
27×	`frac-sub_binary64_9635`
22×	`associate-*l/_binary64_9569`
20×	`add-cbrt-cube_binary64_9662`
19×	`prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
18×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
15×	`add-sqr-sqrt_binary64_9648`
13×	`*-un-lft-identity_binary64_9626`
12×	`associate-r_binary64_9566`
11×	`add-cube-cbrt_binary64_9661`
6×	`cbrt-prod_binary64_9657` `cancel-sign-sub-inv_binary64_9592`
5×	`associate-l_binary64_9567`
4×	`distribute-rgt-in_binary64_9576` `add-log-exp_binary64_9665` `distribute-lft-in_binary64_9575`
3×	`flip3--_binary64_9630` `*-commutative_binary64_9557` `flip--_binary64_9601`
2×	`sub-neg_binary64_9619`
1×	`pow1/3_binary64_9708` `distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `unswap-sqr_binary64_9594`

Counts

4 → 121

Calls

4 calls:

21.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))
15.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
12.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.0ms	(cbrt.f64 y)

series1.0s (14.4%)

Counts

4 → 12

Calls

4 calls:

390.0ms	(.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y))
278.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
261.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (cbrt.f64 y)))
76.0ms	(cbrt.f64 y)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4975	3733
1	4975	3733

prune156.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	132	10	142

Error

1.2b

Counts

142 → 10

Compiler

Compiled 4643 to 1328 computations (71.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.9b	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))
1.9b	(.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y))
2.4b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y)))

rewrite97.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`pow1_binary64_9687` `add-exp-log_binary64_9664`
58×	`prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
55×	`associate-*l/_binary64_9569`
34×	`add-cbrt-cube_binary64_9662`
33×	`associate-*r/_binary64_9568`
27×	`frac-sub_binary64_9635`
18×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
16×	`add-sqr-sqrt_binary64_9648`
13×	`associate-r_binary64_9566`
12×	`*-un-lft-identity_binary64_9626`
10×	`add-cube-cbrt_binary64_9661` `cbrt-prod_binary64_9657`
7×	`associate-l_binary64_9567`
4×	`add-log-exp_binary64_9665`
3×	`flip3--_binary64_9630` `*-commutative_binary64_9557` `flip--_binary64_9601`
2×	`unswap-sqr_binary64_9594`
1×	`pow1/3_binary64_9708` `distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595`

Counts

4 → 144

Calls

4 calls:

36.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y)))
23.0ms	(.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y))
14.0ms	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

series1.0s (14.5%)

Counts

4 → 12

Calls

4 calls:

390.0ms	(.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y))
276.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))) (cbrt.f64 y)))
267.0ms	(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (cbrt.f64 z))
78.0ms	(cbrt.f64 z)

simplify114.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4952	4397
1	4952	4397

prune167.0ms (2.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	156	10	166

Error

1.2b

Counts

166 → 10

Compiler

Compiled 5335 to 1379 computations (74.2% saved)

regimes265.0ms (3.8%)

Accuracy

Total 0.7b remaining (29.4%)

Threshold costs 0.7b (29.4%)

Compiler

Compiled 3223 to 2026 computations (37.1% 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%)

sample1.2s (16.9%)

Algorithm

1×

intervals

Results

385.0ms	7787×	body	128	valid
32.0ms	599×	body	128	invalid
15.0ms	77×	body	1024	valid
13.0ms	76×	body	512	valid
6.0ms	60×	body	256	valid

Compiler

Compiled 683 to 435 computations (36.3% saved)

Details

analyze754.0ms (10.8%)

sample28.0ms (0.4%)

simplify144.0ms (2.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite38.0ms (0.5%)

series583.0ms (8.3%)

simplify71.0ms (1%)

prune117.0ms (1.7%)

localize10.0ms (0.1%)

rewrite52.0ms (0.7%)

series796.0ms (11.4%)

simplify62.0ms (0.9%)

prune147.0ms (2.1%)

localize14.0ms (0.2%)

rewrite68.0ms (1%)

series1.0s (14.4%)

simplify83.0ms (1.2%)

prune156.0ms (2.2%)

localize18.0ms (0.3%)

rewrite97.0ms (1.4%)

series1.0s (14.5%)

simplify114.0ms (1.6%)

prune167.0ms (2.4%)

regimes265.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.2s (16.9%)

Profiling