Details

analyze111.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	34
1	43	34
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
12.5%	12.5%	75%	2
12.5%	12.5%	75%	3
18.7%	6.2%	75%	4
21.8%	3.1%	75%	5
23.4%	1.6%	75%	6
23.4%	1.6%	75%	7
24.2%	0.8%	75%	8
24.2%	0.8%	75%	9
24.6%	0.4%	75%	10
24.6%	0.4%	75%	11
24.8%	0.2%	75%	12
24.8%	0.2%	75%	13
24.9%	0.1%	75%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample56.0ms (1.3%)

Algorithm

1×

intervals

Results

21.0ms	58×	body	1024	valid
11.0ms	149×	body	128	valid
7.0ms	32×	body	512	valid
5.0ms	256×	pre	128	true
2.0ms	17×	body	256	valid

Compiler

Compiled 26 to 23 computations (11.5% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

prune3.0ms (0.1%)

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 22 to 18 computations (18.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
0.1b	(*.f64 e (sin.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_1123`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
7×	`pow1_binary64_1162`
6×	`associate-r_binary64_1041` `associate-l_binary64_1042`
3×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `times-frac_binary64_1107` `associate-/r*_binary64_1045`
2×	`*-commutative_binary64_1032` `associate-/r/_binary64_1047` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `flip-+_binary64_1075`

Counts

3 → 59

Calls

3 calls:

7.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
5.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (sin.f64 v))

series149.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
31.0ms	(*.f64 e (cos.f64 v))
30.0ms	(*.f64 e (sin.f64 v))

simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4947	920
1	4947	920

prune64.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

Compiler

Compiled 1187 to 474 computations (60.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
0.1b	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1)))
0.1b	(*.f64 e (cos.f64 v))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_1123`
21×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
19×	`times-frac_binary64_1107`
18×	`associate-r_binary64_1041`
12×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`pow1_binary64_1162`
6×	`associate-l_binary64_1042`
4×	`associate-/r/_binary64_1047`
3×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `associate-/l_binary64_1046` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`
2×	`*-commutative_binary64_1032` `flip3-+_binary64_1104` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-*r/_binary64_1043`

Counts

3 → 81

Calls

3 calls:

13.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1)))
7.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
4.0ms	(*.f64 e (cos.f64 v))

series181.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(.f64 e (/.f64 (sin.f64 v) (+.f64 (.f64 e (cos.f64 v)) 1)))
65.0ms	(/.f64 (sin.f64 v) (+.f64 (*.f64 e (cos.f64 v)) 1))
28.0ms	(*.f64 e (cos.f64 v))

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5416	1715

prune80.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

Compiler

Compiled 1802 to 788 computations (56.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 e (.f64 (cbrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1)) (cbrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1)))) (/.f64 (sin.f64 v) (cbrt.f64 (+.f64 (*.f64 e (cos.f64 v)) 1))))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (cos.f64 v))
0.1b	(*.f64 e (cos.f64 v))

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-sqr-sqrt_binary64_1123`
33×	`associate-r_binary64_1041`
31×	`add-exp-log_binary64_1139`
28×	`times-frac_binary64_1107`
25×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
24×	`add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
14×	`cbrt-div_binary64_1133`
12×	`pow1_binary64_1162`
11×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `cbrt-prod_binary64_1132`
10×	`associate-/r/_binary64_1047`
9×	`unswap-sqr_binary64_1069`
7×	`flip3-+_binary64_1104` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `flip-+_binary64_1075`
5×	`frac-times_binary64_1111`
4×	`*-commutative_binary64_1032` `add-log-exp_binary64_1140` `pow-prod-down_binary64_1172`
3×	`associate-r/_binary64_1043` `associate-l/_binary64_1044`
2×	`div-inv_binary64_1098`

Counts

4 → 123

Calls

4 calls:

31.0ms	(.f64 (/.f64 e (.f64 (cbrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1)) (cbrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1)))) (/.f64 (sin.f64 v) (cbrt.f64 (+.f64 (*.f64 e (cos.f64 v)) 1))))
6.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (cos.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

series185.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(.f64 (/.f64 e (.f64 (cbrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1)) (cbrt.f64 (+.f64 (.f64 e (cos.f64 v)) 1)))) (/.f64 (sin.f64 v) (cbrt.f64 (+.f64 (*.f64 e (cos.f64 v)) 1))))
30.0ms	(*.f64 e (cos.f64 v))
28.0ms	(*.f64 e (cos.f64 v))
26.0ms	(*.f64 e (cos.f64 v))

simplify117.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4967	2955
1	4967	2955

prune187.0ms (4.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	136	6	142

Merged error: 0.0b

Counts

142 → 6

Compiler

Compiled 4343 to 2060 computations (52.6% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
0.1b	(*.f64 e (cos.f64 v))
0.2b	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
0.3b	(*.f64 (sqrt.f64 e) (sin.f64 v))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
19×	`add-sqr-sqrt_binary64_1123`
15×	`associate-l_binary64_1042`
13×	`*-un-lft-identity_binary64_1101` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
8×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
7×	`sqrt-prod_binary64_1117` `associate-r_binary64_1041`
5×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140`
3×	`-commutative_binary64_1032` `times-frac_binary64_1107` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`
2×	`associate-/r/_binary64_1047`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip3-+_binary64_1104` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `flip-+_binary64_1075`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
8.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
6.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
4.0ms	(*.f64 e (cos.f64 v))

series237.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(/.f64 (.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v))) (+.f64 1 (*.f64 e (cos.f64 v))))
56.0ms	(*.f64 (sqrt.f64 e) (sin.f64 v))
35.0ms	(.f64 (sqrt.f64 e) (.f64 (sqrt.f64 e) (sin.f64 v)))
27.0ms	(*.f64 e (cos.f64 v))

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4959	1490
1	4959	1490

prune82.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 1883 to 647 computations (65.6% saved)

regimes147.0ms (3.5%)

Compiler: Compiled 1466 to 1028 computations (29.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms (0%)

sample2.1s (50.5%)

Algorithm

1×

intervals

Results

589.0ms	1929×	body	1024	valid
344.0ms	4532×	body	128	valid
225.0ms	1057×	body	512	valid
171.0ms	8000×	pre	128	true
69.0ms	477×	body	256	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 506 to 357 computations (29.4% saved)

Details

analyze111.0ms (2.7%)

sample56.0ms (1.3%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite20.0ms (0.5%)

series149.0ms (3.6%)

simplify83.0ms (2%)

prune64.0ms (1.5%)

localize8.0ms (0.2%)

rewrite30.0ms (0.7%)

series181.0ms (4.3%)

simplify98.0ms (2.3%)

prune80.0ms (1.9%)

localize13.0ms (0.3%)

rewrite62.0ms (1.5%)

series185.0ms (4.4%)

simplify117.0ms (2.8%)

prune187.0ms (4.5%)

localize13.0ms (0.3%)

rewrite35.0ms (0.8%)

series237.0ms (5.7%)

simplify98.0ms (2.3%)

prune82.0ms (1.9%)

regimes147.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (50.5%)

Profiling