Details

analyze1.7s (19.5%)

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)

sample106.0ms (1.2%)

Algorithm

1×

intervals

Results

44.0ms	50×	body	1024	valid
23.0ms	150×	body	128	valid
19.0ms	34×	body	512	valid
8.0ms	22×	body	256	valid

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify334.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 60 to 36 computations (40% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 ew (cos.f64 t))
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.6b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite25.0ms (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)))

series331.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

133.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
112.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
58.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))
29.0ms	(*.f64 ew (cos.f64 t))

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5910	1068

prune107.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	7	86

Merged error: 0.1b

Counts

86 → 7

Compiler

Compiled 3080 to 577 computations (81.3% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 ew (cos.f64 t)))
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.6b	(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`
8×	`*-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`
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` `cbrt-prod_binary64_791` `atan-neg_binary64_944` `cos-neg_binary64_891`

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

series401.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

117.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
115.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
110.0ms	(cbrt.f64 (*.f64 ew (cos.f64 t)))
58.0ms	(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	6084	1008

prune109.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Merged error: 0.1b

Counts

83 → 7

Compiler

Compiled 3719 to 556 computations (85% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.6b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite22.0ms (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 ew)

series386.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
117.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
91.0ms	(cbrt.f64 ew)
59.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5035	968

prune100.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.1b

Counts

85 → 7

Compiler

Compiled 3310 to 559 computations (83.1% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
2.1b	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
21.6b	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

rewrite23.0ms (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 ew)

series386.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
116.0ms	(/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)
86.0ms	(cbrt.f64 ew)
56.0ms	(cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5035	968

prune108.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	77	8	85

Merged error: 0.1b

Counts

85 → 8

Compiler

Compiled 3864 to 498 computations (87.1% saved)

regimes219.0ms (2.5%)

Compiler: Compiled 2734 to 1608 computations (41.2% 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%)

sample4.0s (46.1%)

Algorithm

1×

intervals

Results

1.8s	2065×	body	1024	valid
732.0ms	4458×	body	128	valid
576.0ms	1000×	body	512	valid
169.0ms	470×	body	256	valid
11.0ms	7×	body	2048	valid

Compiler

Compiled 583 to 344 computations (41% saved)

Details

analyze1.7s (19.5%)

sample106.0ms (1.2%)

simplify334.0ms (3.8%)

prune4.0ms (0%)

localize20.0ms (0.2%)

rewrite25.0ms (0.3%)

series331.0ms (3.8%)

simplify58.0ms (0.7%)

prune107.0ms (1.2%)

localize28.0ms (0.3%)

rewrite25.0ms (0.3%)

series401.0ms (4.6%)

simplify56.0ms (0.6%)

prune109.0ms (1.2%)

localize25.0ms (0.3%)

rewrite22.0ms (0.3%)

series386.0ms (4.4%)

simplify53.0ms (0.6%)

prune100.0ms (1.1%)

localize31.0ms (0.4%)

rewrite23.0ms (0.3%)

series386.0ms (4.4%)

simplify51.0ms (0.6%)

prune108.0ms (1.2%)

regimes219.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.0s (46.1%)

Profiling