Details

analyze2.1s (16.6%)

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)

sample125.0ms (1%)

Algorithm

1×

intervals

Results

58.0ms	65×	body	1024	valid
23.0ms	146×	body	128	valid
19.0ms	24×	body	512	valid
7.0ms	20×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify241.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

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

0.1b

Counts

2 → 1

Compiler

Compiled 60 to 36 computations (40% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 eh (sin.f64 t))
2.2b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.2b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
20.1b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite124.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
12×	`add-sqr-sqrt_binary64_2828`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`pow1_binary64_2867` `times-frac_binary64_2812` `associate-/r*_binary64_2750`
4×	`add-log-exp_binary64_2845` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
3×	`distribute-lft-neg-out_binary64_2765` `distribute-frac-neg_binary64_2769` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `tan-quot_binary64_2965` `associate-r/_binary64_2748` `associate-/l/_binary64_2753` `associate-/l_binary64_2751`
1×	`cos-atan_binary64_2985` `atan-neg_binary64_2990` `cos-neg_binary64_2937` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

4 → 73

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)
4.0ms	(*.f64 eh (sin.f64 t))
2.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

Compiler

Compiled 2617 to 472 computations (82% saved)

series912.0ms (7.1%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

315.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
311.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
159.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
87.0ms	(*.f64 eh (sin.f64 t))

Compiler

Compiled 3445 to 1833 computations (46.8% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6154	1411

prune129.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	8	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Error

0.1b

Counts

110 → 8

Compiler

Compiled 3922 to 666 computations (83% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.2b	(/.f64 (*.f64 eh (tan.f64 t)) ew)
3.6b	(log.f64 (exp.f64 (cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))))
20.1b	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

rewrite109.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
6×	`times-frac_binary64_2812` `associate-/r*_binary64_2750`
5×	`pow1_binary64_2867`
4×	`add-log-exp_binary64_2845` `log-pow_binary64_2895` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
3×	`exp-prod_binary64_2858` `log-prod_binary64_2892`
2×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `tan-quot_binary64_2965` `associate-r/_binary64_2748` `associate-/l/_binary64_2753` `associate-/l_binary64_2751`
1×	`cos-atan_binary64_2985` `atan-neg_binary64_2990` `cos-neg_binary64_2937` `rem-log-exp_binary64_2847` `distribute-lft-neg-out_binary64_2765` `distribute-frac-neg_binary64_2769`

Counts

4 → 69

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
2.0ms	(log.f64 (exp.f64 (cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))))
2.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

Compiler

Compiled 2687 to 585 computations (78.2% saved)

series1.3s (10%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

463.0ms	(log.f64 (exp.f64 (cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))))
315.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
286.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
171.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

Compiler

Compiled 3652 to 1943 computations (46.8% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4974	1540
1	4974	1540

prune126.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	105	8	113

Error

0.1b

Counts

113 → 8

Compiler

Compiled 3951 to 667 computations (83.1% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew)))) 3))
2.2b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.2b	(/.f64 (*.f64 eh (tan.f64 t)) ew)
20.1b	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

rewrite132.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
12×	`cbrt-prod_binary64_2837`
11×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
6×	`times-frac_binary64_2812` `associate-/r*_binary64_2750`
4×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
3×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
2×	`cos-atan_binary64_2985` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `tan-quot_binary64_2965` `associate-r/_binary64_2748` `associate-/l/_binary64_2753` `associate-/l_binary64_2751`
1×	`atan-neg_binary64_2990` `cos-neg_binary64_2937` `distribute-lft-neg-out_binary64_2765` `distribute-frac-neg_binary64_2769` `pow1/3_binary64_2888` `cube-div_binary64_2835` `cbrt-div_binary64_2838` `unpow3_binary64_2872` `cube-mult_binary64_2836` `sqr-pow_binary64_2778` `rem-cbrt-cube_binary64_2830`

Counts

4 → 76

Calls

4 calls:

6.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
5.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew)))) 3))
2.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))

Compiler

Compiled 3117 to 850 computations (72.7% saved)

series989.0ms (7.8%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

317.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
284.0ms	(/.f64 (*.f64 eh (tan.f64 t)) ew)
185.0ms	(cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))
166.0ms	(cbrt.f64 (pow.f64 (cos.f64 (atan.f64 (neg.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew)))) 3))

Compiler

Compiled 3679 to 2079 computations (43.5% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5283	1767

prune147.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Error

0.1b

Counts

120 → 8

Compiler

Compiled 4275 to 1006 computations (76.5% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 eh)
2.2b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.2b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
20.1b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite109.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
6×	`times-frac_binary64_2812` `associate-/r*_binary64_2750`
4×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
3×	`distribute-lft-neg-out_binary64_2765` `distribute-frac-neg_binary64_2769` `cbrt-prod_binary64_2837`
2×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `tan-quot_binary64_2965` `associate-r/_binary64_2748` `associate-/l/_binary64_2753` `associate-/l_binary64_2751`
1×	`cos-atan_binary64_2985` `atan-neg_binary64_2990` `cos-neg_binary64_2937` `pow1/3_binary64_2888`

Counts

4 → 66

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)))
1.0ms	(cbrt.f64 eh)

Compiler

Compiled 2822 to 451 computations (84% saved)

series960.0ms (7.5%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

339.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
317.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
178.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
90.0ms	(cbrt.f64 eh)

Compiler

Compiled 3591 to 1837 computations (48.8% saved)

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5048	1236

prune109.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Error

0.1b

Counts

104 → 8

Compiler

Compiled 3851 to 448 computations (88.4% saved)

regimes364.0ms (2.9%)

Accuracy

Total 0.0b remaining (36%)

Threshold costs 0.0b (36%)

Compiler

Compiled 4894 to 3018 computations (38.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	54
1	90	54

end0.0ms (0%)

sample4.4s (34.6%)

Algorithm

1×

intervals

Results

1.8s	1963×	body	1024	valid
740.0ms	4579×	body	128	valid
563.0ms	946×	body	512	valid
193.0ms	504×	body	256	valid
11.0ms	8×	body	2048	valid

Compiler

Compiled 1017 to 628 computations (38.2% saved)

Details

analyze2.1s (16.6%)

sample125.0ms (1%)

simplify241.0ms (1.9%)

prune4.0ms (0%)

localize22.0ms (0.2%)

rewrite124.0ms (1%)

series912.0ms (7.1%)

simplify63.0ms (0.5%)

prune129.0ms (1%)

localize32.0ms (0.3%)

rewrite109.0ms (0.9%)

series1.3s (10%)

simplify67.0ms (0.5%)

prune126.0ms (1%)

localize30.0ms (0.2%)

rewrite132.0ms (1%)

series989.0ms (7.8%)

simplify57.0ms (0.4%)

prune147.0ms (1.2%)

localize26.0ms (0.2%)

rewrite109.0ms (0.9%)

series960.0ms (7.5%)

simplify71.0ms (0.6%)

prune109.0ms (0.9%)

regimes364.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.4s (34.6%)

Profiling