Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify313.0ms (9.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4936	13
1	4936	13

prune2.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_1111`
15×	`times-frac_binary64_1117`
12×	`add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
5×	`associate-/r*_binary64_1055` `2cosh-undef_binary64_1307` `distribute-lft-out_binary64_1062`
4×	`add-cbrt-cube_binary64_1147` `add-log-exp_binary64_1150` `add-exp-log_binary64_1149`
3×	`associate-/l*_binary64_1056`
2×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `pow1_binary64_1172` `associate-/r/_binary64_1057`
1×	`div-inv_binary64_1108` `frac-2neg_binary64_1122` `+-commutative_binary64_1041` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `sum-log_binary64_1202` `clear-num_binary64_1110`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series119.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
28.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify78.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4899	954
1	4899	954

prune60.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0b

Counts

57 → 5

Compiler

Compiled 1004 to 505 computations (49.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.5b	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
0.5b	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

rewrite45.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`*-un-lft-identity_binary64_1111`
62×	`times-frac_binary64_1117`
48×	`add-sqr-sqrt_binary64_1133`
42×	`add-cube-cbrt_binary64_1146` `sqrt-prod_binary64_1127`
14×	`2cosh-undef_binary64_1307` `distribute-lft-out_binary64_1062`
10×	`associate-/r*_binary64_1055`
8×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149` `associate-/r/_binary64_1057`
6×	`associate-/l*_binary64_1056` `pow1_binary64_1172`
4×	`rem-sqrt-square_binary64_1124` `div-inv_binary64_1108` `flip-+_binary64_1085` `flip3-+_binary64_1114` `add-log-exp_binary64_1150`
2×	`pow1/2_binary64_1191` `sqrt-div_binary64_1128` `frac-2neg_binary64_1122` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `sqrt-pow1_binary64_1129` `clear-num_binary64_1110`

Counts

4 → 140

Calls

4 calls:

8.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
8.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

series482.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
163.0ms	(sqrt.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
81.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
74.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5066	3142

prune172.0ms (5.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	152	5	157

Merged error: 0b

Counts

157 → 5

Compiler

Compiled 3933 to 1731 computations (56% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
0.0b	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)

rewrite54.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_1111`
75×	`times-frac_binary64_1117`
52×	`add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
48×	`cbrt-prod_binary64_1142`
42×	`unpow-prod-down_binary64_1190` `cube-prod_binary64_1139`
17×	`2cosh-undef_binary64_1307` `distribute-lft-out_binary64_1062`
10×	`associate-/r/_binary64_1057`
9×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
6×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `add-log-exp_binary64_1150`
5×	`div-inv_binary64_1108` `associate-/r*_binary64_1055` `pow1_binary64_1172`
3×	`pow-unpow_binary64_1188` `associate-/l*_binary64_1056`
2×	`cube-div_binary64_1140` `cube-mult_binary64_1141` `div-exp_binary64_1162` `pow-exp_binary64_1179` `cbrt-undiv_binary64_1145` `rem-cube-cbrt_binary64_1134` `unpow3_binary64_1177` `sqr-pow_binary64_1083`
1×	`pow1/3_binary64_1193` `frac-2neg_binary64_1122` `rem-cbrt-cube_binary64_1135` `+-commutative_binary64_1041` `pow-pow_binary64_1183` `sum-log_binary64_1202` `pow-to-exp_binary64_1180` `cbrt-div_binary64_1143` `clear-num_binary64_1110`

Counts

4 → 170

Calls

4 calls:

14.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
10.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
7.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series366.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3)
91.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
83.0ms	(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 3))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify65.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5402	3566

prune164.0ms (4.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	180	2	182
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	181	6	187

Merged error: 0b

Counts

187 → 6

Compiler

Compiled 3024 to 1603 computations (47% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(cbrt.f64 (*.f64 1/2 (/.f64 2 (pow.f64 (cosh.f64 x) 3))))
0.0b	(/.f64 2 (pow.f64 (cosh.f64 x) 3))
0.0b	(pow.f64 (cosh.f64 x) 3)

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_1117`
32×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
15×	`unpow-prod-down_binary64_1190` `cube-prod_binary64_1139`
12×	`associate-/r*_binary64_1055`
10×	`add-exp-log_binary64_1149`
7×	`add-cbrt-cube_binary64_1147`
5×	`cube-mult_binary64_1141` `unpow3_binary64_1177` `pow1_binary64_1172` `sqr-pow_binary64_1083`
4×	`add-log-exp_binary64_1150`
3×	`pow-unpow_binary64_1188` `associate-/l*_binary64_1056` `div-exp_binary64_1162` `cosh-def_binary64_1297`
2×	`cube-div_binary64_1140` `pow-exp_binary64_1179` `pow-to-exp_binary64_1180`
1×	`pow1/3_binary64_1193` `div-inv_binary64_1108` `cbrt-prod_binary64_1142` `frac-2neg_binary64_1122` `pow-pow_binary64_1183` `cbrt-undiv_binary64_1145` `rem-cube-cbrt_binary64_1134` `cbrt-div_binary64_1143` `clear-num_binary64_1110` `associate-*r/_binary64_1053` `associate-/r/_binary64_1057`

Counts

4 → 108

Calls

4 calls:

9.0ms	(cbrt.f64 (*.f64 1/2 (/.f64 2 (pow.f64 (cosh.f64 x) 3))))
6.0ms	(/.f64 2 (pow.f64 (cosh.f64 x) 3))
3.0ms	(pow.f64 (cosh.f64 x) 3)
1.0ms	(cosh.f64 x)

series610.0ms (18.3%)

Counts

4 → 12

Calls

4 calls:

288.0ms	(/.f64 2 (pow.f64 (cosh.f64 x) 3))
130.0ms	(pow.f64 (cosh.f64 x) 3)
121.0ms	(cbrt.f64 (*.f64 1/2 (/.f64 2 (pow.f64 (cosh.f64 x) 3))))
70.0ms	(cosh.f64 x)

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4962	1544
1	4962	1544

prune102.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	120	6	126

Merged error: 0b

Counts

126 → 6

Compiler

Compiled 1664 to 1254 computations (24.6% saved)

regimes49.0ms (1.5%)

Compiler: Compiled 271 to 223 computations (17.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample459.0ms (13.7%)

Algorithm

1×

intervals

Results

244.0ms

8000×

body

128

valid

Compiler

Compiled 66 to 58 computations (12.1% saved)

Details

analyze1.0ms (0%)

sample12.0ms (0.4%)

simplify313.0ms (9.4%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series119.0ms (3.6%)

simplify78.0ms (2.3%)

prune60.0ms (1.8%)

localize9.0ms (0.3%)

rewrite45.0ms (1.4%)

series482.0ms (14.4%)

simplify75.0ms (2.2%)

prune172.0ms (5.1%)

localize8.0ms (0.3%)

rewrite54.0ms (1.6%)

series366.0ms (10.9%)

simplify65.0ms (1.9%)

prune164.0ms (4.9%)

localize7.0ms (0.2%)

rewrite27.0ms (0.8%)

series610.0ms (18.3%)

simplify39.0ms (1.2%)

prune102.0ms (3%)

regimes49.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample459.0ms (13.7%)

Profiling