Details

analyze1.7s (5.6%)

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)

sample43.0ms (0.1%)

Algorithm

1×

intervals

Results

23.0ms	248×	body	128	valid
1.0ms	16×	body	128	invalid
1.0ms	3×	body	1024	valid
1.0ms	3×	body	256	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify233.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5145	23

prune5.0ms (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

Merged error: 3.6b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
4.2b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite50.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_8910`
11×	`associate-r/_binary64_8886` `-un-lft-identity_binary64_8944` `add-sqr-sqrt_binary64_8966`
9×	`add-cube-cbrt_binary64_8979` `pow1_binary64_9005` `frac-sub_binary64_8953` `add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
8×	`tanh-def-a_binary64_9131` `distribute-rgt-in_binary64_8894` `tanh-def-b_binary64_9132` `tanh-def-c_binary64_9133` `associate-+r+_binary64_8876` `distribute-lft-in_binary64_8893`
6×	`add-log-exp_binary64_8983`
5×	`associate-r_binary64_8884`
4×	`sub-neg_binary64_8937`
3×	`prod-exp_binary64_8993` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`
1×	`flip3-+_binary64_8947` `associate-l_binary64_8885` `+-commutative_binary64_8874` `flip3--_binary64_8948` `flip--_binary64_8919` `distribute-lft-out--_binary64_8896` `*-commutative_binary64_8875` `sum-log_binary64_9035` `difference-of-squares_binary64_8913` `flip-+_binary64_8918`

Counts

4 → 78

Calls

4 calls:

23.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
8.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
3.0ms	(tanh.f64 (/.f64 t y))
3.0ms	(tanh.f64 (/.f64 x y))

series1.4s (4.4%)

Counts

4 → 12

Calls

4 calls:

689.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
373.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
146.0ms	(tanh.f64 (/.f64 x y))
144.0ms	(tanh.f64 (/.f64 t y))

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5033	2209

prune179.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	4	91

Merged error: 0.8b

Counts

91 → 4

Compiler

Compiled 2415 to 661 computations (72.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
1.0b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.6b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite80.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_8886`
20×	`distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893`
18×	`frac-sub_binary64_8953` `cancel-sign-sub-inv_binary64_8910`
17×	`add-sqr-sqrt_binary64_8966`
15×	`*-un-lft-identity_binary64_8944`
14×	`tanh-def-a_binary64_9131` `tanh-def-b_binary64_9132` `tanh-def-c_binary64_9133`
13×	`add-cube-cbrt_binary64_8979`
11×	`pow1_binary64_9005` `add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
6×	`associate-l_binary64_8885` `associate-r_binary64_8884` `sub-neg_binary64_8937`
4×	`prod-exp_binary64_8993` `pow-prod-down_binary64_9015` `add-log-exp_binary64_8983` `cbrt-unprod_binary64_8977`
2×	`flip3--_binary64_8948` `flip--_binary64_8919` `*-commutative_binary64_8875`
1×	`distribute-lft-out--_binary64_8896` `difference-of-squares_binary64_8913` `unswap-sqr_binary64_8912`

Counts

4 → 104

Calls

4 calls:

30.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
23.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms	(tanh.f64 (/.f64 x y))
4.0ms	(tanh.f64 (/.f64 t y))

series1.1s (3.7%)

Counts

4 → 12

Calls

4 calls:

472.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
374.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
144.0ms	(tanh.f64 (/.f64 t y))
135.0ms	(tanh.f64 (/.f64 x y))

simplify136.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5060	2997

prune224.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	112	8	120

Merged error: 0.8b

Counts

120 → 8

Compiler

Compiled 3320 to 1017 computations (69.4% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.6b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
6.4b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
6.4b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
6.4b	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

rewrite143.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`associate-*r/_binary64_8886`
36×	`frac-sub_binary64_8953`
33×	`cbrt-div_binary64_8976`
24×	`tanh-def-a_binary64_9131` `tanh-def-b_binary64_9132` `tanh-def-c_binary64_9133`
16×	`distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893`
12×	`cancel-sign-sub-inv_binary64_8910`
9×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944` `pow1_binary64_9005` `add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982` `add-sqr-sqrt_binary64_8966`
4×	`flip3--_binary64_8948` `flip--_binary64_8919` `sub-neg_binary64_8937` `add-log-exp_binary64_8983`
3×	`pow1/3_binary64_9026` `associate-l_binary64_8885` `prod-exp_binary64_8993` `cbrt-prod_binary64_8975` `pow-prod-down_binary64_9015` `cbrt-unprod_binary64_8977`
1×	`-commutative_binary64_8875` `associate-r*_binary64_8884`

Counts

4 → 105

Calls

4 calls:

27.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
24.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
23.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
23.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))

series3.2s (10.3%)

Counts

4 → 12

Calls

4 calls:

946.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
940.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
924.0ms	(cbrt.f64 (.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
353.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify156.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4996	5235
1	4996	5235

prune365.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	117	8	125

Merged error: 0.8b

Counts

125 → 8

Compiler

Compiled 7761 to 1575 computations (79.7% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))
1.2b	(.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))
5.9b	(.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))))
6.1b	(/.f64 (.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite1.1s (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

1495×	`associate-*r/_binary64_8886`
1080×	`frac-times_binary64_8954`
966×	`tanh-def-a_binary64_9131` `tanh-def-b_binary64_9132` `tanh-def-c_binary64_9133`
900×	`frac-sub_binary64_8953`
360×	`associate-*l/_binary64_8887`
227×	`associate-/l/_binary64_8891`
20×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
13×	`*-un-lft-identity_binary64_8944`
11×	`associate-/r/_binary64_8890` `pow1_binary64_9005` `add-sqr-sqrt_binary64_8966`
10×	`distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893`
9×	`add-cube-cbrt_binary64_8979` `frac-add_binary64_8952`
7×	`prod-exp_binary64_8993` `sub-neg_binary64_8937` `cancel-sign-sub-inv_binary64_8910` `cbrt-unprod_binary64_8977`
6×	`associate-l_binary64_8885` `add-log-exp_binary64_8983`
5×	`associate-r_binary64_8884`
4×	`times-frac_binary64_8950` `flip3--_binary64_8948` `flip--_binary64_8919` `associate-/r*_binary64_8888` `pow-prod-down_binary64_9015`
3×	`div-exp_binary64_8995` `cbrt-undiv_binary64_8978`
2×	`*-commutative_binary64_8875` `distribute-lft-out_binary64_8895` `difference-of-squares_binary64_8913`
1×	`flip3-+_binary64_8947` `clear-num_binary64_8943` `frac-2neg_binary64_8955` `associate-/l*_binary64_8889` `diff-log_binary64_9036` `unswap-sqr_binary64_8912` `div-inv_binary64_8941` `flip-+_binary64_8918`

Counts

4 → 1004

Calls

4 calls:

153.0ms	(/.f64 (.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
116.0ms	(.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))))
98.0ms	(.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))
47.0ms	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))

series6.6s (21.3%)

Counts

4 → 12

Calls

4 calls:

3.1s	(/.f64 (.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
1.5s	(.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (*.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y)))))
987.0ms	(-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))
870.0ms	(.f64 y (.f64 z (-.f64 (.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 t y))) (.f64 (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 x y))))))

simplify1.3s (4.4%)

Algorithm

1×	egg-herbie

Counts

1016 → 1016

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4865	101024
1	4865	101024

prune9.8s (32%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1015	1	1016
Fresh	4	1	5
Picked	0	1	1
Done	0	2	2
Total	1019	5	1024

Merged error: 0b

Counts

1024 → 5

Compiler

Compiled 105865 to 40858 computations (61.4% saved)

regimes503.0ms (1.6%)

Compiler: Compiled 3563 to 1932 computations (45.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms (0%)

sample2.2s (7.2%)

Algorithm

1×

intervals

Results

738.0ms	7794×	body	128	valid
50.0ms	522×	body	128	invalid
24.0ms	64×	body	1024	valid
22.0ms	85×	body	512	valid
10.0ms	57×	body	256	valid

Compiler

Compiled 732 to 406 computations (44.5% saved)

Details

analyze1.7s (5.6%)

sample43.0ms (0.1%)

simplify233.0ms (0.8%)

prune5.0ms (0%)

localize21.0ms (0.1%)

rewrite50.0ms (0.2%)

series1.4s (4.4%)

simplify119.0ms (0.4%)

prune179.0ms (0.6%)

localize22.0ms (0.1%)

rewrite80.0ms (0.3%)

series1.1s (3.7%)

simplify136.0ms (0.4%)

prune224.0ms (0.7%)

localize34.0ms (0.1%)

rewrite143.0ms (0.5%)

series3.2s (10.3%)

simplify156.0ms (0.5%)

prune365.0ms (1.2%)

localize34.0ms (0.1%)

rewrite1.1s (3.7%)

series6.6s (21.3%)

simplify1.3s (4.4%)

prune9.8s (32%)

regimes503.0ms (1.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.2s (7.2%)

Profiling