Details

analyze1.7s (19.9%)

Algorithm

1×

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)

sample129.0ms (1.5%)

Algorithm

1×

intervals

Results

62.0ms	68×	body	1024	valid
25.0ms	129×	body	128	valid
22.0ms	38×	body	512	valid
7.0ms	20×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify325.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (226.0ms)

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)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
12×	`add-sqr-sqrt_binary64_782`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
6×	`associate-/r*_binary64_704` `pow1_binary64_821` `times-frac_binary64_766`
4×	`cbrt-undiv_binary64_794` `add-log-exp_binary64_799` `div-exp_binary64_811`
3×	`prod-exp_binary64_809` `distribute-frac-neg_binary64_723` `distribute-lft-neg-out_binary64_719` `associate-r_binary64_700` `associate-l_binary64_701` `cbrt-unprod_binary64_793`
2×	`frac-2neg_binary64_771` `associate-/l/_binary64_707` `div-inv_binary64_757` `associate-/l_binary64_705` `tan-quot_binary64_919` `associate-r/_binary64_702` `clear-num_binary64_759`
1×	`unswap-sqr_binary64_728` `cos-atan_binary64_939` `pow-prod-down_binary64_831` `atan-neg_binary64_944` `*-commutative_binary64_691` `cos-neg_binary64_891`

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

series332.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
118.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
63.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
28.0ms	(*.f64 ew (cos.f64 t))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5910	1068

prune103.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	5	86

Error

0.1b

Counts

86 → 5

Compiler

Compiled 3014 to 537 computations (82.2% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`associate-/r*_binary64_704` `times-frac_binary64_766`
4×	`cbrt-undiv_binary64_794` `add-log-exp_binary64_799` `div-exp_binary64_811` `pow1_binary64_821`
3×	`distribute-frac-neg_binary64_723` `distribute-lft-neg-out_binary64_719` `cbrt-prod_binary64_791`
2×	`frac-2neg_binary64_771` `prod-exp_binary64_809` `associate-/l/_binary64_707` `div-inv_binary64_757` `associate-/l_binary64_705` `tan-quot_binary64_919` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `clear-num_binary64_759`
1×	`pow1/3_binary64_842` `cos-atan_binary64_939` `atan-neg_binary64_944` `cos-neg_binary64_891`

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 (cos.f64 t))

series365.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
114.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
74.0ms	(cbrt.f64 (cos.f64 t))
59.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5830	1019

prune104.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Error

0.1b

Counts

83 → 6

Compiler

Compiled 3498 to 535 computations (84.7% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`associate-/r*_binary64_704` `times-frac_binary64_766`
4×	`cbrt-undiv_binary64_794` `add-log-exp_binary64_799` `div-exp_binary64_811` `pow1_binary64_821`
3×	`distribute-frac-neg_binary64_723` `distribute-lft-neg-out_binary64_719` `cbrt-prod_binary64_791`
2×	`frac-2neg_binary64_771` `prod-exp_binary64_809` `associate-/l/_binary64_707` `div-inv_binary64_757` `associate-/l_binary64_705` `tan-quot_binary64_919` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `clear-num_binary64_759`
1×	`pow1/3_binary64_842` `cos-atan_binary64_939` `atan-neg_binary64_944` `cos-neg_binary64_891`

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 (cos.f64 t))

series360.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
115.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
71.0ms	(cbrt.f64 (cos.f64 t))
55.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5830	1019

prune122.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	78	6	84

Error

0.1b

Counts

84 → 6

Compiler

Compiled 4367 to 559 computations (87.2% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cos.f64 t))
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
1.5b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
24.4b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
6×	`associate-/r*_binary64_704` `times-frac_binary64_766`
4×	`cbrt-undiv_binary64_794` `add-log-exp_binary64_799` `div-exp_binary64_811` `pow1_binary64_821`
3×	`distribute-frac-neg_binary64_723` `distribute-lft-neg-out_binary64_719` `cbrt-prod_binary64_791`
2×	`frac-2neg_binary64_771` `prod-exp_binary64_809` `associate-/l/_binary64_707` `div-inv_binary64_757` `associate-/l_binary64_705` `tan-quot_binary64_919` `associate-r/_binary64_702` `cbrt-unprod_binary64_793` `clear-num_binary64_759`
1×	`pow1/3_binary64_842` `cos-atan_binary64_939` `atan-neg_binary64_944` `cos-neg_binary64_891`

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 (cos.f64 t))

series373.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

121.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
117.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
76.0ms	(cbrt.f64 (cos.f64 t))
59.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5830	1019

prune126.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Error

0.1b

Counts

84 → 6

Compiler

Compiled 5050 to 493 computations (90.2% saved)

regimes211.0ms (2.4%)

Accuracy

Total 0.0b remaining (32.8%)

Threshold costs 0.0b (32.8%)

Compiler

Compiled 2784 to 1528 computations (45.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	88	50
1	88	50

end0.0ms (0%)

sample3.9s (45.5%)

Algorithm

1×

intervals

Results

1.8s	2008×	body	1024	valid
716.0ms	4497×	body	128	valid
559.0ms	973×	body	512	valid
194.0ms	513×	body	256	valid
12.0ms	9×	body	2048	valid

Compiler

Compiled 593 to 328 computations (44.7% saved)

Details

analyze1.7s (19.9%)

sample129.0ms (1.5%)

simplify325.0ms (3.7%)

prune4.0ms (0%)

localize24.0ms (0.3%)

rewrite26.0ms (0.3%)

series332.0ms (3.8%)

simplify59.0ms (0.7%)

prune103.0ms (1.2%)

localize25.0ms (0.3%)

rewrite25.0ms (0.3%)

series365.0ms (4.2%)

simplify59.0ms (0.7%)

prune104.0ms (1.2%)

localize30.0ms (0.3%)

rewrite27.0ms (0.3%)

series360.0ms (4.1%)

simplify59.0ms (0.7%)

prune122.0ms (1.4%)

localize36.0ms (0.4%)

rewrite26.0ms (0.3%)

series373.0ms (4.3%)

simplify56.0ms (0.6%)

prune126.0ms (1.5%)

regimes211.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.9s (45.5%)

Profiling