Details

analyze2.1s (24.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5205	200
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	8
31.2%	68.6%	0.1%	9
31.2%	68.6%	0.1%	10
31.2%	68.6%	0.1%	11
40.6%	59.3%	0.1%	12
40.6%	59.3%	0.1%	13
40.6%	59.3%	0.1%	14

Compiler

Compiled 31 to 19 computations (38.7% saved)

sample118.0ms (1.4%)

Algorithm

1×

intervals

Results

61.0ms	72×	body	1024	valid
21.0ms	137×	body	128	valid
17.0ms	31×	body	512	valid
6.0ms	15×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify234.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (224.0ms)

Iter	Nodes	Cost
0	1604	50
1	1604	50

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

0.2b

Counts

2 → 1

Compiler

Compiled 60 to 36 computations (40% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (neg.f64 eh) (tan.f64 t))
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.1b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
14×	`add-sqr-sqrt_binary64_2828`
12×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
10×	`associate-l_binary64_2747`
6×	`times-frac_binary64_2812` `associate-/r*_binary64_2750` `pow1_binary64_2867`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `add-log-exp_binary64_2845` `distribute-lft-neg-out_binary64_2765`
3×	`distribute-lft-neg-in_binary64_2763` `prod-exp_binary64_2855` `tan-quot_binary64_2965` `cbrt-unprod_binary64_2839` `distribute-frac-neg_binary64_2769` `associate-r_binary64_2746` `associate-*r/_binary64_2748` `distribute-rgt-neg-in_binary64_2764`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `frac-2neg_binary64_2817`
1×	`*-commutative_binary64_2737` `atan-neg_binary64_2990` `cos-neg_binary64_2937` `neg-mul-1_binary64_2802` `cos-atan_binary64_2985` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`

Counts

4 → 82

Calls

4 calls:

6.0ms	(*.f64 (neg.f64 eh) (tan.f64 t))
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series349.0ms (4%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
109.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
64.0ms	(*.f64 (neg.f64 eh) (tan.f64 t))
56.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5004	1195

prune108.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	2	95

Error

0.1b

Counts

95 → 2

Compiler

Compiled 3257 to 620 computations (81% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
3.4b	(*.f64 (/.f64 (tan.f64 t) ew) eh)
3.7b	(.f64 (/.f64 (tan.f64 t) ew) (.f64 eh (*.f64 (/.f64 (tan.f64 t) ew) eh)))
6.8b	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (tan.f64 t) ew) (.f64 eh (*.f64 (/.f64 (tan.f64 t) ew) eh)))))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
28×	`add-sqr-sqrt_binary64_2828`
26×	`associate-l_binary64_2747`
22×	`times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
21×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
16×	`pow1_binary64_2867`
9×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
7×	`pow-prod-down_binary64_2877`
4×	`add-log-exp_binary64_2845` `associate-r_binary64_2746` `associate-r/_binary64_2748` `associate-l/_binary64_2749`
3×	`div-inv_binary64_2803` `associate-/r*_binary64_2750` `sqrt-prod_binary64_2822`
2×	`sqrt-div_binary64_2823` `*-commutative_binary64_2737` `unswap-sqr_binary64_2774`
1×	`frac-times_binary64_2816` `associate-/l/_binary64_2753` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `tan-quot_binary64_2965` `rem-sqrt-square_binary64_2819` `flip-+_binary64_2780` `distribute-frac-neg_binary64_2769` `flip3-+_binary64_2809` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `distribute-lft-neg-out_binary64_2765` `frac-2neg_binary64_2817`

Counts

4 → 114

Calls

4 calls:

13.0ms	(.f64 (/.f64 (tan.f64 t) ew) (.f64 eh (*.f64 (/.f64 (tan.f64 t) ew) eh)))
7.0ms	(*.f64 (/.f64 (tan.f64 t) ew) eh)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
4.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (tan.f64 t) ew) (.f64 eh (*.f64 (/.f64 (tan.f64 t) ew) eh)))))

series699.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

253.0ms	(.f64 (/.f64 (tan.f64 t) ew) (.f64 eh (*.f64 (/.f64 (tan.f64 t) ew) eh)))
196.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (tan.f64 t) ew) (.f64 eh (*.f64 (/.f64 (tan.f64 t) ew) eh)))))
134.0ms	(*.f64 (/.f64 (tan.f64 t) ew) eh)
116.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5011	2070

prune175.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Error

0.1b

Counts

128 → 2

Compiler

Compiled 5466 to 1530 computations (72% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.1b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
21.1b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
6×	`times-frac_binary64_2812` `associate-/r*_binary64_2750`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `distribute-frac-neg_binary64_2769` `add-log-exp_binary64_2845` `distribute-lft-neg-out_binary64_2765` `pow1_binary64_2867`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `atan-neg_binary64_2990` `cos-neg_binary64_2937` `prod-exp_binary64_2855` `tan-quot_binary64_2965` `cbrt-unprod_binary64_2839` `cos-atan_binary64_2985` `clear-num_binary64_2805` `associate-r/_binary64_2748` `associate-/l_binary64_2751` `frac-2neg_binary64_2817`

Counts

4 → 64

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

series346.0ms (4%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
116.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
56.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
56.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5337	1108

prune99.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	76	2	78

Error

0.1b

Counts

78 → 2

Compiler

Compiled 3486 to 479 computations (86.3% saved)

regimes140.0ms (1.6%)

Accuracy

Total 0.0b remaining (2.9%)

Threshold costs 0.0b (2.9%)

Compiler

Compiled 1589 to 978 computations (38.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	99	63
1	99	63

end0.0ms (0%)

sample3.9s (45.4%)

Algorithm

1×

intervals

Results

1.8s	2016×	body	1024	valid
749.0ms	4476×	body	128	valid
580.0ms	1023×	body	512	valid
179.0ms	475×	body	256	valid
15.0ms	10×	body	2048	valid

Compiler

Compiled 363 to 226 computations (37.7% saved)

Details

analyze2.1s (24.3%)

sample118.0ms (1.4%)

simplify234.0ms (2.7%)

prune4.0ms (0%)

localize21.0ms (0.2%)

rewrite27.0ms (0.3%)

series349.0ms (4%)

simplify56.0ms (0.6%)

prune108.0ms (1.2%)

localize26.0ms (0.3%)

rewrite45.0ms (0.5%)

series699.0ms (8.1%)

simplify70.0ms (0.8%)

prune175.0ms (2%)

localize23.0ms (0.3%)

rewrite24.0ms (0.3%)

series346.0ms (4%)

simplify56.0ms (0.6%)

prune99.0ms (1.1%)

regimes140.0ms (1.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.9s (45.4%)

Profiling