Details

analyze3.2s (3.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
3.1%	21.8%	75%	8
3.1%	21.8%	75%	9
3.1%	21.8%	75%	10
3.1%	21.8%	75%	11
3.1%	21.8%	75%	12
3.1%	21.8%	75%	13
3.1%	21.8%	75%	14

Compiler

Compiled 50 to 40 computations (20% saved)

sample13.1s (15.5%)

Algorithm

1×

intervals

Results

11.6s	496×	body	8192	exit
580.0ms	391×	body	1024	overflowed
441.0ms	2386×	body	128	overflowed
163.0ms	201×	body	512	overflowed
105.0ms	3825×	pre	128	true
44.0ms	95×	body	256	overflowed
31.0ms	251×	body	128	valid
5.0ms	3×	body	1024	valid
1.0ms	2×	body	256	valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify161.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5036	68

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

Error

4.7b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize23.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))
0.4b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
1.0b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
2.0b	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))

rewrite186.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_116`
692×	`pow-exp_binary64_146`
684×	`prod-exp_binary64_127`
593×	`div-exp_binary64_129`
344×	`pow-to-exp_binary64_147`
116×	`1-exp_binary64_122` `rec-exp_binary64_128`
56×	`*-un-lft-identity_binary64_78`
41×	`add-sqr-sqrt_binary64_100` `times-frac_binary64_84`
36×	`unpow-prod-down_binary64_157`
30×	`add-cube-cbrt_binary64_113`
18×	`cancel-sign-sub-inv_binary64_44`
16×	`add-cbrt-cube_binary64_114`
9×	`distribute-lft-out_binary64_29`
8×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117` `pow-pow_binary64_150` `pow-unpow_binary64_155` `difference-of-squares_binary64_47` `associate-/r/_binary64_24`
5×	`div-inv_binary64_75`
4×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112`
3×	`flip-+_binary64_52` `flip3-+_binary64_81`
2×	`inv-pow_binary64_163` `distribute-lft-out--_binary64_30` `sqr-pow_binary64_50` `pow-flip_binary64_152`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `associate-/l_binary64_23` `associate-/r_binary64_22` `clear-num_binary64_77` `sub-neg_binary64_71`

Counts

4 → 489

Calls

8 calls:

57.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
13.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
9.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
9.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
0.0ms	(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))

series2.3s (2.7%)

Counts

4 → 33

Calls

4 calls:

1.9s	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
162.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
160.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
37.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

Compiler

Compiled 2832 to 2335 computations (17.5% saved)

simplify302.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

522 → 522

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4950	28504
1	4950	28504

prune1.8s (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	520	3	523

Error

Counts

523 → 3

Compiler

Compiled 22695 to 14463 computations (36.3% saved)

localize32.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
1.2b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.9b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
10.8b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
10.8b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite69.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_78`
38×	`add-sqr-sqrt_binary64_100` `log-prod_binary64_164`
16×	`pow1_binary64_139`
15×	`associate--l+_binary64_15` `associate--r+_binary64_14`
14×	`difference-of-squares_binary64_47`
12×	`add-cube-cbrt_binary64_113` `distribute-lft-out--_binary64_30` `log-div_binary64_165` `log-pow_binary64_167`
8×	`times-frac_binary64_84` `cancel-sign-sub-inv_binary64_44`
6×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `flip-+_binary64_52` `flip3--_binary64_82` `associate--r-_binary64_17` `flip--_binary64_53` `distribute-lft-out_binary64_29` `associate--l-_binary64_16` `flip3-+_binary64_81`
2×	`diff-log_binary64_170` `div-inv_binary64_75` `rem-log-exp_binary64_119` `sub-neg_binary64_71`

Counts

4 → 108

Calls

8 calls:

28.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
12.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))

series808.0ms (1%)

Counts

4 → 21

Calls

4 calls:

429.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
252.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
67.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
60.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

Compiler

Compiled 1585 to 1408 computations (11.2% saved)

simplify84.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4975	3390
1	4975	3390

prune364.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Error

Counts

132 → 2

Compiler

Compiled 6270 to 4124 computations (34.2% saved)

localize27.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
1.2b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.9b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
5.9b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
10.8b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite51.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_78`
30×	`log-prod_binary64_164`
27×	`add-sqr-sqrt_binary64_100`
16×	`pow1_binary64_139`
15×	`associate--l+_binary64_15`
12×	`add-cube-cbrt_binary64_113` `log-pow_binary64_167`
10×	`distribute-lft-out--_binary64_30` `log-div_binary64_165`
8×	`difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44`
7×	`associate--r+_binary64_14`
6×	`add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `flip-+_binary64_52` `times-frac_binary64_84` `distribute-lft-out_binary64_29` `associate--l-_binary64_16` `flip3-+_binary64_81`
3×	`flip3--_binary64_82` `flip--_binary64_53`
2×	`diff-log_binary64_170` `associate--r-_binary64_17` `rem-log-exp_binary64_119` `sub-neg_binary64_71`
1×	`div-inv_binary64_75`

Counts

4 → 98

Calls

8 calls:

18.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
12.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))

series514.0ms (0.6%)

Counts

4 → 19

Calls

4 calls:

256.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
128.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
69.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
60.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

Compiler

Compiled 1127 to 1052 computations (6.7% saved)

simplify73.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4892	2406
1	4892	2406

prune264.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Error

Counts

119 → 2

Compiler

Compiled 4610 to 3053 computations (33.8% saved)

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
0.0b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(+.f64 1 (exp.f64 (neg.f64 t)))
0.0b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
0.4b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
1.7b	(/.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))

rewrite121.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

448×	`add-sqr-sqrt_binary64_100`
381×	`times-frac_binary64_84`
365×	`*-un-lft-identity_binary64_78`
352×	`unpow-prod-down_binary64_157`
198×	`difference-of-squares_binary64_47`
85×	`add-cube-cbrt_binary64_113`
66×	`distribute-lft-out--_binary64_30`
36×	`div-inv_binary64_75`
32×	`sqr-pow_binary64_50`
20×	`add-exp-log_binary64_116`
19×	`associate-/r*_binary64_22`
18×	`associate-/l*_binary64_23` `cancel-sign-sub-inv_binary64_44`
11×	`div-exp_binary64_129`
8×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `distribute-lft-out_binary64_29`
6×	`pow-exp_binary64_146` `pow-to-exp_binary64_147`
5×	`pow1_binary64_139`
4×	`associate-/r/_binary64_24`
3×	`flip-+_binary64_52` `flip3-+_binary64_81`
2×	`cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`+-commutative_binary64_8` `inv-pow_binary64_163` `flip3--_binary64_82` `diff-log_binary64_170` `1-exp_binary64_122` `pow-flip_binary64_152` `flip--_binary64_53` `rec-exp_binary64_128` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

4 → 361

Calls

8 calls:

35.0ms	(/.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
9.0ms	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(+.f64 1 (exp.f64 (neg.f64 t)))
0.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

series799.0ms (0.9%)

Counts

4 → 20

Calls

4 calls:

701.0ms	(/.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))
43.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
40.0ms	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
14.0ms	(+.f64 1 (exp.f64 (neg.f64 t)))

Compiler

Compiled 918 to 913 computations (0.5% saved)

simplify228.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4964	20332
1	4964	20332

prune1.1s (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	381	0	381
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	381	2	383

Error

Counts

383 → 2

Compiler

Compiled 15199 to 10414 computations (31.5% saved)

regimes947.0ms (1.1%)

Compiler: Compiled 6557 to 6065 computations (7.5% saved)

bsearch7.2s (8.5%)

Steps

Iters	Range		Point
6	9.976983273137485e-27	7.021240139308173e-26	1.0119066183353964e-26
8	1.6520163241771236e-213	1.4300860283151625e-210	6.277373617621886e-212

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	311	129
1	311	129

end4.0ms (0%)

Compiler: Compiled 80 to 62 computations (22.5% saved)

sample50.9s (60%)

Algorithm

1×

intervals

Results

45.0s	1914×	body	8192	exit
2.2s	1491×	body	1024	overflowed
1.6s	8975×	body	128	overflowed
588.0ms	723×	body	512	overflowed
376.0ms	14547×	pre	128	true
161.0ms	379×	body	256	overflowed
129.0ms	1037×	body	128	valid
90.0ms	5×	body	8192	valid
17.0ms	10×	body	1024	valid
13.0ms	2×	body	4096	valid
10.0ms	3×	body	2048	valid
2.0ms	3×	body	512	valid
2.0ms	5×	body	256	valid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze3.2s (3.8%)

sample13.1s (15.5%)

simplify161.0ms (0.2%)

prune5.0ms (0%)

localize23.0ms (0%)

rewrite186.0ms (0.2%)

series2.3s (2.7%)

simplify302.0ms (0.4%)

prune1.8s (2.2%)

localize32.0ms (0%)

rewrite69.0ms (0.1%)

series808.0ms (1%)

simplify84.0ms (0.1%)

prune364.0ms (0.4%)

localize27.0ms (0%)

rewrite51.0ms (0.1%)

series514.0ms (0.6%)

simplify73.0ms (0.1%)

prune264.0ms (0.3%)

localize16.0ms (0%)

rewrite121.0ms (0.1%)

series799.0ms (0.9%)

simplify228.0ms (0.3%)

prune1.1s (1.3%)

regimes947.0ms (1.1%)

bsearch7.2s (8.5%)

simplify8.0ms (0%)

end4.0ms (0%)

sample50.9s (60%)

end0.0ms (0%)

Profiling