Details

analyze3.2s (2.2%)

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)

sample12.3s (8.2%)

Algorithm

1×

intervals

Results

10.9s	474×	body	8192	exit
527.0ms	357×	body	1024	overflowed
386.0ms	2161×	body	128	overflowed
178.0ms	227×	body	512	overflowed
88.0ms	3577×	pre	128	true
41.0ms	101×	body	256	overflowed
29.0ms	247×	body	128	valid
25.0ms	4×	body	4096	valid
5.0ms	1×	body	2048	overflowed
3.0ms	2×	body	1024	valid
1.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify154.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5036	68

prune4.0ms (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

9.3b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.7b	(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)
6.1b	(/.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)))

rewrite171.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_2844`
692×	`pow-exp_binary64_2874`
684×	`prod-exp_binary64_2855`
593×	`div-exp_binary64_2857`
344×	`pow-to-exp_binary64_2875`
116×	`1-exp_binary64_2850` `rec-exp_binary64_2856`
56×	`*-un-lft-identity_binary64_2806`
41×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812`
36×	`unpow-prod-down_binary64_2885`
30×	`add-cube-cbrt_binary64_2841`
18×	`cancel-sign-sub-inv_binary64_2772`
16×	`add-cbrt-cube_binary64_2842`
9×	`distribute-lft-out_binary64_2757`
8×	`pow1_binary64_2867`
6×	`pow-pow_binary64_2878` `pow-unpow_binary64_2883` `add-log-exp_binary64_2845` `difference-of-squares_binary64_2775` `associate-/r/_binary64_2752`
5×	`div-inv_binary64_2803`
4×	`cbrt-undiv_binary64_2840` `cbrt-unprod_binary64_2839`
3×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
2×	`pow-flip_binary64_2880` `distribute-lft-out--_binary64_2758` `sqr-pow_binary64_2778` `inv-pow_binary64_2891`
1×	`flip3--_binary64_2810` `associate-/r_binary64_2750` `diff-log_binary64_2898` `sub-neg_binary64_2799` `flip--_binary64_2781` `clear-num_binary64_2805` `associate-/l_binary64_2751` `frac-2neg_binary64_2817`

Counts

4 → 489

Calls

4 calls:

49.0ms	(/.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)))
11.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
7.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
7.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series2.2s (1.5%)

Counts

4 → 39

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)))
160.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
153.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
38.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

Compiler

Compiled 3926 to 3153 computations (19.7% saved)

simplify243.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

528 → 528

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4952	29372
1	4952	29372

prune1.7s (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	524	4	528
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	525	4	529

Error

0.2b

Counts

529 → 4

Compiler

Compiled 23585 to 15177 computations (35.6% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.6b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
2.9b	(-.f64 (+.f64 (.f64 c_n (-.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)))))))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))) (*.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
6.9b	(-.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 t)))))))

rewrite63.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`*-un-lft-identity_binary64_2806`
38×	`log-prod_binary64_2892`
35×	`add-sqr-sqrt_binary64_2828`
19×	`associate--r+_binary64_2742`
13×	`difference-of-squares_binary64_2775`
12×	`associate--l+_binary64_2743`
11×	`add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
9×	`add-log-exp_binary64_2845`
8×	`times-frac_binary64_2812` `log-div_binary64_2893` `distribute-lft-out--_binary64_2758`
7×	`log-pow_binary64_2895`
6×	`add-exp-log_binary64_2844`
5×	`cancel-sign-sub-inv_binary64_2772`
4×	`distribute-lft-out_binary64_2757` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `flip--_binary64_2781`
3×	`diff-log_binary64_2898`
2×	`div-inv_binary64_2803` `associate--l-_binary64_2744` `associate--r-_binary64_2745` `rem-log-exp_binary64_2847` `sub-neg_binary64_2799` `flip-+_binary64_2780` `flip3-+_binary64_2809`
1×	`sum-log_binary64_2897`

Counts

4 → 98

Calls

4 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)))))))
13.0ms	(-.f64 (+.f64 (.f64 c_n (-.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)))))))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))) (*.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

series2.3s (1.6%)

Counts

4 → 36

Calls

4 calls:

1.8s	(-.f64 (+.f64 (.f64 c_n (-.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)))))))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))) (*.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
383.0ms	(-.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)))))))
64.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
60.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

Compiler

Compiled 2456 to 2104 computations (14.3% saved)

simplify102.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4972	5123
1	4972	5123

prune363.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	130	4	134
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	134	4	138

Error

0.1b

Counts

138 → 4

Compiler

Compiled 6614 to 4417 computations (33.2% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.6b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
4.6b	(-.f64 (+.f64 (.f64 c_n (+.f64 (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2)) (.f64 t 1/2))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))

rewrite52.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_2806`
30×	`log-prod_binary64_2892`
24×	`add-sqr-sqrt_binary64_2828`
12×	`associate--l+_binary64_2743`
11×	`associate--r+_binary64_2742` `add-cube-cbrt_binary64_2841` `pow1_binary64_2867`
9×	`add-log-exp_binary64_2845`
7×	`difference-of-squares_binary64_2775` `log-pow_binary64_2895`
6×	`add-exp-log_binary64_2844` `log-div_binary64_2893` `distribute-lft-out--_binary64_2758`
5×	`cancel-sign-sub-inv_binary64_2772`
4×	`times-frac_binary64_2812` `distribute-lft-out_binary64_2757` `add-cbrt-cube_binary64_2842` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756`
3×	`flip3--_binary64_2810` `diff-log_binary64_2898` `flip--_binary64_2781`
2×	`associate--l-_binary64_2744` `rem-log-exp_binary64_2847` `sub-neg_binary64_2799` `flip-+_binary64_2780` `flip3-+_binary64_2809`
1×	`div-inv_binary64_2803` `sum-log_binary64_2897`

Counts

4 → 88

Calls

4 calls:

16.0ms	(-.f64 (+.f64 (.f64 c_n (+.f64 (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2)) (.f64 t 1/2))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
16.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series1.8s (1.2%)

Counts

4 → 33

Calls

4 calls:

1.6s	(-.f64 (+.f64 (.f64 c_n (+.f64 (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2)) (.f64 t 1/2))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))) (.f64 c_p (log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))))
112.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
63.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
57.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

Compiler

Compiled 1961 to 1712 computations (12.7% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4949	3789
1	4949	3789

prune272.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	122	3	125

Error

0.1b

Counts

125 → 3

Compiler

Compiled 5248 to 3576 computations (31.9% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(.f64 c_n (+.f64 (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2)) (.f64 1/2 t)))
4.0b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))

rewrite47.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_2806`
33×	`add-sqr-sqrt_binary64_2828`
18×	`add-cube-cbrt_binary64_2841`
16×	`times-frac_binary64_2812`
14×	`log-prod_binary64_2892`
12×	`pow1_binary64_2867`
11×	`associate--l+_binary64_2743`
10×	`add-exp-log_binary64_2844`
8×	`add-cbrt-cube_binary64_2842`
7×	`difference-of-squares_binary64_2775`
6×	`distribute-lft-out--_binary64_2758` `add-log-exp_binary64_2845`
5×	`distribute-lft-out_binary64_2757` `log-pow_binary64_2895`
4×	`cancel-sign-sub-inv_binary64_2772` `associate-/r*_binary64_2750`
3×	`associate-l_binary64_2747` `associate--r+_binary64_2742` `flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-r_binary64_2746` `associate-/l*_binary64_2751`
2×	`div-inv_binary64_2803` `div-exp_binary64_2857` `flip3--_binary64_2810` `log-div_binary64_2893` `associate--l-_binary64_2744` `flip--_binary64_2781` `associate-*r/_binary64_2748` `associate-/r/_binary64_2752`
1×	`1-exp_binary64_2850` `pow-flip_binary64_2880` `rec-exp_binary64_2856` `*-commutative_binary64_2737` `cbrt-undiv_binary64_2840` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `diff-log_binary64_2898` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `sum-log_binary64_2897` `inv-pow_binary64_2891` `clear-num_binary64_2805` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

4 → 107

Calls

4 calls:

18.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
9.0ms	(.f64 c_n (+.f64 (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2)) (.f64 1/2 t)))
6.0ms	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))
4.0ms	(+.f64 1 (exp.f64 (neg.f64 s)))

series802.0ms (0.5%)

Counts

4 → 24

Calls

4 calls:

630.0ms	(.f64 c_n (+.f64 (-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2)) (.f64 1/2 t)))
128.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
29.0ms	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))
15.0ms	(+.f64 1 (exp.f64 (neg.f64 s)))

Compiler

Compiled 801 to 825 computations (-3% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4870	2753
1	4870	2753

prune184.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	131	3	134

Error

0.1b

Counts

134 → 3

Compiler

Compiled 3406 to 2585 computations (24.1% saved)

regimes1.1s (0.7%)

Compiler: Compiled 17550 to 15122 computations (13.8% saved)

bsearch2.3s (1.5%)

Steps

Iters	Range		Point
6	4.696778357680403e-19	5.777288143318589e-18	7.002793200919338e-19

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	45
1	53	45

end0.0ms (0%)

sample2.0min (80.2%)

Algorithm

1×

intervals

Results

1.8min	4683×	body	8192	exit
5.2s	3577×	body	1024	overflowed
3.8s	21548×	body	128	overflowed
1.5s	1956×	body	512	overflowed
847.0ms	35350×	pre	128	true
405.0ms	980×	body	256	overflowed
296.0ms	2529×	body	128	valid
103.0ms	5×	body	8192	valid
70.0ms	11×	body	4096	valid
39.0ms	24×	body	1024	valid
16.0ms	4×	body	2048	valid
13.0ms	18×	body	512	valid
4.0ms	1×	body	2048	overflowed
3.0ms	8×	body	256	valid
1.0ms	4×	body	128	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze3.2s (2.2%)

sample12.3s (8.2%)

simplify154.0ms (0.1%)

prune4.0ms (0%)

localize20.0ms (0%)

rewrite171.0ms (0.1%)

series2.2s (1.5%)

simplify243.0ms (0.2%)

prune1.7s (1.2%)

localize26.0ms (0%)

rewrite63.0ms (0%)

series2.3s (1.6%)

simplify102.0ms (0.1%)

prune363.0ms (0.2%)

localize29.0ms (0%)

rewrite52.0ms (0%)

series1.8s (1.2%)

simplify77.0ms (0.1%)

prune272.0ms (0.2%)

localize15.0ms (0%)

rewrite47.0ms (0%)

series802.0ms (0.5%)

simplify78.0ms (0.1%)

prune184.0ms (0.1%)

regimes1.1s (0.7%)

bsearch2.3s (1.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0min (80.2%)

Profiling