Details

analyze1.1s (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	84
1	60	84
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Compiler

Compiled 9 to 9 computations (0% saved)

sample64.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
6.0ms	96×	body	128	nan
2.0ms	24×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune6.0ms (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

21.2b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.5b	(/.f64 A (*.f64 V l))
17.6b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite47.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l*_binary64_1042`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sqrt-div_binary64_1118` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
1×	`-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-/r*_binary64_1045` `pow1/2_binary64_1181`

Counts

3 → 66

Calls

3 calls:

19.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
10.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
10.0ms	(/.f64 A (*.f64 V l))

series639.0ms (5%)

Counts

3 → 30

Calls

3 calls:

287.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
216.0ms	(/.f64 A (*.f64 V l))
135.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 782 to 717 computations (8.3% saved)

simplify186.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune189.0ms (1.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	82	14	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	15	97

Error

9.5b

Counts

97 → 15

Compiler

Compiled 1282 to 373 computations (70.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
0.9b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
5.2b	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
17.6b	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

rewrite107.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_1123`
28×	`times-frac_binary64_1107`
27×	`add-exp-log_binary64_1139`
26×	`associate-r_binary64_1041`
22×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
20×	`add-cbrt-cube_binary64_1137`
14×	`cbrt-prod_binary64_1132`
11×	`pow1_binary64_1162`
10×	`associate-l_binary64_1042`
9×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
7×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
6×	`associate-*r/_binary64_1043` `sqrt-div_binary64_1118`
4×	`add-log-exp_binary64_1140`
3×	`frac-times_binary64_1111` `pow-prod-down_binary64_1172` `associate-*l/_binary64_1044`
2×	`*-commutative_binary64_1032` `sqrt-pow1_binary64_1119` `sqrt-prod_binary64_1117` `div-inv_binary64_1098`
1×	`pow1/3_binary64_1183` `pow1/2_binary64_1181`

Counts

4 → 106

Calls

4 calls:

34.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
32.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
19.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
3.0ms	(cbrt.f64 A)

series903.0ms (7%)

Counts

4 → 33

Calls

4 calls:

340.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
256.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
160.0ms	(sqrt.f64 (.f64 (/.f64 (.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
146.0ms	(cbrt.f64 A)

Compiler

Compiled 932 to 849 computations (8.9% saved)

simplify195.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	5074	1761

prune218.0ms (1.7%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	3	10	13
Picked	0	1	1
Done	1	0	1
Total	139	15	154

Error

4.3b

Counts

154 → 15

Compiler

Compiled 2248 to 722 computations (67.9% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.9b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
5.4b	(/.f64 (/.f64 A l) V)
17.6b	(sqrt.f64 (/.f64 (/.f64 A l) V))

rewrite118.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

213×	`times-frac_binary64_1107`
134×	`add-sqr-sqrt_binary64_1123`
117×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
89×	`sqrt-prod_binary64_1117`
46×	`associate-r_binary64_1041`
13×	`div-inv_binary64_1098` `associate-/l*_binary64_1046`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162`
4×	`unswap-sqr_binary64_1069`
3×	`rem-sqrt-square_binary64_1114` `add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-l_binary64_1042` `associate-/r*_binary64_1045`
2×	`sqrt-div_binary64_1118`
1×	`-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`

Counts

3 → 191

Calls

3 calls:

49.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
16.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))
15.0ms	(/.f64 (/.f64 A l) V)

series649.0ms (5.1%)

Counts

3 → 30

Calls

3 calls:

302.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
210.0ms	(/.f64 (/.f64 A l) V)
137.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))

Compiler

Compiled 782 to 717 computations (8.3% saved)

simplify331.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (248.0ms)

Iter	Nodes	Cost
0	4917	3725
1	4917	3725

prune342.0ms (2.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	210	11	221
Fresh	6	7	13
Picked	1	0	1
Done	1	0	1
Total	218	18	236

Error

0.0b

Counts

236 → 18

Compiler

Compiled 3701 to 979 computations (73.5% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 V)

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
8×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`

Counts

4 → 44

Calls

4 calls:

3.0ms	(cbrt.f64 V)
3.0ms	(cbrt.f64 V)
3.0ms	(cbrt.f64 l)
3.0ms	(cbrt.f64 l)

series591.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 l)
148.0ms	(cbrt.f64 V)
148.0ms	(cbrt.f64 l)
143.0ms	(cbrt.f64 V)

Compiler

Compiled 568 to 436 computations (23.2% saved)

simplify225.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (204.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune104.0ms (0.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	1	16	17
Picked	0	1	1
Done	0	0	0
Total	53	21	74

Error

0.0b

Counts

74 → 21

Compiler

Compiled 1340 to 266 computations (80.1% saved)

regimes2.8s (21.5%)

Accuracy

Total 1.1b remaining (95.8%)

Threshold costs 0b (0%)

Compiler

Compiled 9064 to 6788 computations (25.1% saved)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	35
1	16	35

Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

sample3.9s (30.2%)

Algorithm

1×

intervals

Results

585.0ms	8000×	body	128	valid
200.0ms	2896×	body	128	nan
59.0ms	843×	body	128	invalid

Compiler

Compiled 1052 to 791 computations (24.8% saved)

Details

analyze1.1s (8.9%)

sample64.0ms (0.5%)

simplify15.0ms (0.1%)

prune6.0ms (0%)

localize24.0ms (0.2%)

rewrite47.0ms (0.4%)

series639.0ms (5%)

simplify186.0ms (1.4%)

prune189.0ms (1.5%)

localize24.0ms (0.2%)

rewrite107.0ms (0.8%)

series903.0ms (7%)

simplify195.0ms (1.5%)

prune218.0ms (1.7%)

localize16.0ms (0.1%)

rewrite118.0ms (0.9%)

series649.0ms (5.1%)

simplify331.0ms (2.6%)

prune342.0ms (2.7%)

localize34.0ms (0.3%)

rewrite18.0ms (0.1%)

series591.0ms (4.6%)

simplify225.0ms (1.7%)

prune104.0ms (0.8%)

regimes2.8s (21.5%)

bsearch0.0ms (0%)

simplify20.0ms (0.2%)

end0.0ms (0%)

sample3.9s (30.2%)

Profiling