Details

analyze3.5s (2.3%)

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)

sample13.2s (8.8%)

Algorithm

1×

intervals

Results

11.6s	492×	body	8192	exit
603.0ms	382×	body	1024	overflowed
430.0ms	2195×	body	128	overflowed
170.0ms	204×	body	512	overflowed
103.0ms	3609×	pre	128	true
35.0ms	80×	body	256	overflowed
33.0ms	249×	body	128	valid
11.0ms	1×	body	4096	valid
5.0ms	3×	body	1024	valid
2.0ms	1×	body	2048	valid
2.0ms	2×	body	512	valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify167.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

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

Merged error: 6.0b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.7b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
3.4b	(/.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)))

rewrite185.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_3185`
692×	`pow-exp_binary64_3215`
684×	`prod-exp_binary64_3196`
593×	`div-exp_binary64_3198`
344×	`pow-to-exp_binary64_3216`
116×	`1-exp_binary64_3191` `rec-exp_binary64_3197`
56×	`*-un-lft-identity_binary64_3147`
41×	`times-frac_binary64_3153` `add-sqr-sqrt_binary64_3169`
36×	`unpow-prod-down_binary64_3226`
30×	`add-cube-cbrt_binary64_3182`
18×	`cancel-sign-sub-inv_binary64_3113`
16×	`add-cbrt-cube_binary64_3183`
9×	`distribute-lft-out_binary64_3098`
8×	`pow1_binary64_3208`
6×	`difference-of-squares_binary64_3116` `pow-unpow_binary64_3224` `add-log-exp_binary64_3186` `associate-/r/_binary64_3093` `pow-pow_binary64_3219`
5×	`div-inv_binary64_3144`
4×	`cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180`
3×	`flip-+_binary64_3121` `flip3-+_binary64_3150`
2×	`inv-pow_binary64_3232` `sqr-pow_binary64_3119` `distribute-lft-out--_binary64_3099` `pow-flip_binary64_3221`
1×	`flip--_binary64_3122` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `associate-/r_binary64_3091` `sub-neg_binary64_3140` `diff-log_binary64_3239` `associate-/l_binary64_3092`

Counts

4 → 489

Calls

4 calls:

51.0ms	(/.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)))
14.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)

series954.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

806.0ms	(/.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)))
61.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
58.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
29.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify268.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

501 → 501

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5038	27612

prune2.0s (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	497	4	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	498	4	502

Merged error: 0.3b

Counts

502 → 4

Compiler

Compiled 21775 to 13860 computations (36.3% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
1.7b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
8.3b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.3b	(-.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)))))))

rewrite75.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64_3147`
49×	`add-sqr-sqrt_binary64_3169`
45×	`log-prod_binary64_3233`
20×	`difference-of-squares_binary64_3116`
16×	`pow1_binary64_3208`
15×	`associate--l+_binary64_3084` `associate--r+_binary64_3083`
14×	`distribute-lft-out--_binary64_3099`
12×	`times-frac_binary64_3153` `add-cube-cbrt_binary64_3182` `log-pow_binary64_3236` `log-div_binary64_3234`
8×	`cancel-sign-sub-inv_binary64_3113`
6×	`add-exp-log_binary64_3185`
5×	`flip--_binary64_3122` `flip3--_binary64_3151`
4×	`add-cbrt-cube_binary64_3183` `associate--r-_binary64_3086` `add-log-exp_binary64_3186` `associate--l-_binary64_3085`
3×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098` `div-inv_binary64_3144`
2×	`rem-log-exp_binary64_3188` `sub-neg_binary64_3140` `diff-log_binary64_3239`

Counts

4 → 115

Calls

4 calls:

31.0ms	(-.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)))))
11.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

series318.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(-.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)))))))
81.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
67.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
48.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

simplify94.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5193	3582

prune348.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	128	3	131

Merged error: 0.2b

Counts

131 → 3

Compiler

Compiled 6413 to 4242 computations (33.9% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.3b	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))
0.5b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
8.3b	(-.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)))))))

rewrite81.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`add-sqr-sqrt_binary64_3169`
62×	`*-un-lft-identity_binary64_3147`
33×	`log-prod_binary64_3233`
28×	`times-frac_binary64_3153`
25×	`difference-of-squares_binary64_3116`
22×	`cancel-sign-sub-inv_binary64_3113`
20×	`add-cube-cbrt_binary64_3182`
12×	`distribute-lft-out--_binary64_3099` `pow1_binary64_3208`
11×	`associate--l+_binary64_3084` `associate--r+_binary64_3083`
10×	`associate-l_binary64_3088`
7×	`add-exp-log_binary64_3185`
6×	`add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186` `log-pow_binary64_3236` `log-div_binary64_3234`
5×	`flip--_binary64_3122` `flip3--_binary64_3151` `div-inv_binary64_3144`
3×	`associate-r_binary64_3087` `distribute-lft-out_binary64_3098` `distribute-lft-neg-in_binary64_3104` `distribute-rgt-neg-in_binary64_3105`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `diff-log_binary64_3239` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate-/r/_binary64_3093` `associate-*r/_binary64_3089`
1×	`*-commutative_binary64_3078` `rem-log-exp_binary64_3188` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `neg-mul-1_binary64_3143` `prod-exp_binary64_3196` `distribute-lft-in_binary64_3096` `distribute-lft-neg-out_binary64_3106` `cbrt-unprod_binary64_3180` `distribute-rgt-in_binary64_3097`

Counts

4 → 135

Calls

4 calls:

27.0ms	(-.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)))))))
15.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
12.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))

series303.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

129.0ms	(-.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)))))))
85.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
59.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 (.f64 s 1/8) -1/2))))
30.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5092	4018

prune429.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	147	3	150

Merged error: 0.2b

Counts

150 → 3

Compiler

Compiled 7050 to 4999 computations (29.1% saved)

localize44.0ms (0%)

Local error

Found 4 expressions with local error:

0.9b	(*.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 s)))))))
0.9b	(pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) 3)
1.0b	(pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))) 3)
8.1b	(-.f64 (pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) 3) (pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))) 3))

rewrite84.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-sqr-sqrt_binary64_3169`
55×	`*-un-lft-identity_binary64_3147`
41×	`pow1_binary64_3208`
36×	`unpow-prod-down_binary64_3226` `cube-prod_binary64_3175`
28×	`difference-of-squares_binary64_3116` `log-pow_binary64_3236`
22×	`log-prod_binary64_3233`
21×	`distribute-lft-out--_binary64_3099`
19×	`add-cube-cbrt_binary64_3182`
14×	`cancel-sign-sub-inv_binary64_3113`
11×	`sqr-pow_binary64_3119` `distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`
8×	`times-frac_binary64_3153` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`swap-sqr_binary64_3114` `pow-unpow_binary64_3224` `add-log-exp_binary64_3186`
4×	`associate-r_binary64_3087` `associate-l_binary64_3088`
3×	`cube-mult_binary64_3177` `unpow3_binary64_3213`
2×	`pow-exp_binary64_3215` `rem-cube-cbrt_binary64_3170` `pow-to-exp_binary64_3216` `pow-pow_binary64_3219` `div-inv_binary64_3144`
1×	`*-commutative_binary64_3078` `difference-cubes_binary64_3149` `flip--_binary64_3122` `unswap-sqr_binary64_3115` `pow-prod-down_binary64_3218` `flip3--_binary64_3151` `sub-neg_binary64_3140` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `pow-prod-up_binary64_3217` `cbrt-unprod_binary64_3180` `diff-log_binary64_3239` `pow-sqr_binary64_3120`

Counts

4 → 161

Calls

4 calls:

22.0ms	(*.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 s)))))))
16.0ms	(-.f64 (pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) 3) (pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))) 3))
3.0ms	(pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) 3)
3.0ms	(pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))) 3)

series581.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(-.f64 (pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) 3) (pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))) 3))
124.0ms	(pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) 3)
124.0ms	(pow.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))) 3)
110.0ms	(*.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 s)))))))

simplify112.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5012	6371

prune1.7s (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	173	3	176

Merged error: 0.2b

Counts

176 → 3

Compiler

Compiled 18357 to 13437 computations (26.8% saved)

regimes903.0ms (0.6%)

Compiler: Compiled 14946 to 12727 computations (14.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	151	42
1	151	42

end0.0ms (0%)

sample2.1min (83%)

Algorithm

1×

intervals

Results

1.8min	4789×	body	8192	exit
5.6s	3690×	body	1024	overflowed
4.2s	22242×	body	128	overflowed
1.6s	1963×	body	512	overflowed
945.0ms	36330×	pre	128	true
409.0ms	935×	body	256	overflowed
328.0ms	2637×	body	128	valid
99.0ms	5×	body	8192	valid
38.0ms	5×	body	4096	valid
35.0ms	21×	body	1024	valid
28.0ms	10×	body	2048	valid
12.0ms	16×	body	512	valid
10.0ms	1×	body	8192	invalid
5.0ms	14×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze3.5s (2.3%)

sample13.2s (8.8%)

simplify167.0ms (0.1%)

prune5.0ms (0%)

localize26.0ms (0%)

rewrite185.0ms (0.1%)

series954.0ms (0.6%)

simplify268.0ms (0.2%)

prune2.0s (1.3%)

localize28.0ms (0%)

rewrite75.0ms (0%)

series318.0ms (0.2%)

simplify94.0ms (0.1%)

prune348.0ms (0.2%)

localize29.0ms (0%)

rewrite81.0ms (0.1%)

series303.0ms (0.2%)

simplify96.0ms (0.1%)

prune429.0ms (0.3%)

localize44.0ms (0%)

rewrite84.0ms (0.1%)

series581.0ms (0.4%)

simplify112.0ms (0.1%)

prune1.7s (1.2%)

regimes903.0ms (0.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.1min (83%)

Profiling