Details

analyze1.7s (10.5%)

Algorithm

2×	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%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14
49.5%	50.3%	0.2%	14

Compiler

Compiled 32 to 26 computations (18.8% saved)

sample291.0ms (1.8%)

Algorithm

2×

intervals

Results

26.0ms	498×	body	128	valid
2.0ms	37×	body	128	invalid
1.0ms	9×	body	512	valid
1.0ms	3×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 4415 to 4687 computations (-6.2% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

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

3.5b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize11.0ms (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 t y))
0.0b	(tanh.f64 (/.f64 x y))
3.6b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite135.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

12×	`cancel-sign-sub-inv_binary64_10274`
11×	`add-sqr-sqrt_binary64_10330` `-un-lft-identity_binary64_10308` `associate-r/_binary64_10250`
9×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343` `frac-sub_binary64_10317`
8×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495` `associate-+r+_binary64_10240`
6×	`add-log-exp_binary64_10347`
5×	`associate-r_binary64_10248`
4×	`sub-neg_binary64_10301`
3×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341`
1×	`flip3--_binary64_10312` `flip--_binary64_10283` `associate-l_binary64_10249` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `*-commutative_binary64_10239` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `+-commutative_binary64_10238`

Counts

4 → 78

Calls

4 calls:

13.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.0ms	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms	(tanh.f64 (/.f64 t y))
2.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 2375 to 589 computations (75.2% saved)

series3.7s (23.2%)

Error

Counts

4 → 56

Calls

4 calls:

1.6s	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.5s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
234.0ms	(tanh.f64 (/.f64 x y))
223.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 5772 to 3853 computations (33.2% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5012	4126

prune163.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	132	3	135

Error

Counts

135 → 3

Compiler

Compiled 3791 to 1293 computations (65.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.2b	(pow.f64 (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)
2.2b	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
24.0b	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))

rewrite323.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

77×	`associate-*r/_binary64_10250`
36×	`frac-sub_binary64_10317`
24×	`tanh-def-c_binary64_10497` `tanh-def-b_binary64_10496` `tanh-def-a_binary64_10495`
22×	`cube-div_binary64_10337`
20×	`distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257`
19×	`add-sqr-sqrt_binary64_10330`
18×	`cancel-sign-sub-inv_binary64_10274`
17×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-cbrt-cube_binary64_10344` `*-un-lft-identity_binary64_10308`
15×	`add-cube-cbrt_binary64_10343`
11×	`cbrt-div_binary64_10340`
8×	`cbrt-prod_binary64_10339`
7×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341`
6×	`sub-neg_binary64_10301` `associate-l_binary64_10249` `associate-r_binary64_10248`
4×	`add-log-exp_binary64_10347` `flip3--_binary64_10312` `flip--_binary64_10283`
3×	`pow-unpow_binary64_10385` `pow-pow_binary64_10380` `pow-exp_binary64_10376` `rem-cube-cbrt_binary64_10331`
2×	`unpow-prod-down_binary64_10387` `unpow3_binary64_10374` `cube-mult_binary64_10338` `cube-prod_binary64_10336` `sqr-pow_binary64_10280` `*-commutative_binary64_10239`
1×	`pow1/3_binary64_10390` `rem-cbrt-cube_binary64_10332` `unswap-sqr_binary64_10276` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `pow-to-exp_binary64_10377`

Counts

4 → 148

Calls

4 calls:

14.0ms	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
14.0ms	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
14.0ms	(pow.f64 (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)
10.0ms	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))

Compiler

Compiled 5765 to 1997 computations (65.4% saved)

series6.6s (41.8%)

Error

Counts

4 → 56

Calls

4 calls:

2.8s	(pow.f64 (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3)
1.5s	(cbrt.f64 (pow.f64 (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) 3))
1.4s	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
761.0ms	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

Compiler

Compiled 9345 to 6774 computations (27.5% saved)

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5115	10058

prune411.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	204	3	207

Error

Counts

207 → 3

Compiler

Compiled 8375 to 3798 computations (54.7% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 z (-.f64 t x)))
0.0b	(*.f64 z (-.f64 t x))

rewrite46.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_10330` `cancel-sign-sub-inv_binary64_10274`
10×	`*-un-lft-identity_binary64_10308`
8×	`add-cube-cbrt_binary64_10343` `distribute-rgt-in_binary64_10258` `distribute-lft-in_binary64_10257` `associate-+r+_binary64_10240`
5×	`associate-r_binary64_10248`
4×	`pow1_binary64_10369` `add-exp-log_binary64_10346` `add-log-exp_binary64_10347` `add-cbrt-cube_binary64_10344` `sub-neg_binary64_10301`
3×	`associate-l_binary64_10249`
2×	`associate-*r/_binary64_10250`
1×	`pow-prod-down_binary64_10379` `prod-exp_binary64_10357` `cbrt-unprod_binary64_10341` `unswap-sqr_binary64_10276` `flip3--_binary64_10312` `flip--_binary64_10283` `difference-of-squares_binary64_10277` `distribute-lft-out--_binary64_10260` `*-commutative_binary64_10239` `sum-log_binary64_10399` `flip3-+_binary64_10311` `flip-+_binary64_10282` `+-commutative_binary64_10238`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 z (-.f64 t x))
4.0ms	(+.f64 x (*.f64 z (-.f64 t x)))

Compiler

Compiled 682 to 193 computations (71.7% saved)

series319.0ms (2%)

Error

Counts

2 → 33

Calls

2 calls:

179.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
124.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 618 to 414 computations (33% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5278	764

prune49.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 804 to 158 computations (80.3% saved)

regimes374.0ms (2.4%)

Accuracy

Total 2.1b remaining (99%)

Threshold costs 0b (0%)

Compiler

Compiled 4213 to 2607 computations (38.1% 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%)

sample1.4s (8.9%)

Algorithm

1×

intervals

Results

386.0ms	7806×	body	128	valid
31.0ms	559×	body	128	invalid
13.0ms	70×	body	1024	valid
11.0ms	78×	body	512	valid
4.0ms	46×	body	256	valid

Compiler

Compiled 862 to 541 computations (37.2% saved)

Details

analyze1.7s (10.5%)

sample291.0ms (1.8%)

simplify55.0ms (0.4%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite135.0ms (0.9%)

series3.7s (23.2%)

simplify82.0ms (0.5%)

prune163.0ms (1%)

localize13.0ms (0.1%)

rewrite323.0ms (2%)

series6.6s (41.8%)

simplify127.0ms (0.8%)

prune411.0ms (2.6%)

localize5.0ms (0%)

rewrite46.0ms (0.3%)

series319.0ms (2%)

simplify61.0ms (0.4%)

prune49.0ms (0.3%)

regimes374.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (8.9%)

Profiling