Details

Time bar (total: 19.2s)

analyze511.0ms (2.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
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)

sample29.0ms (0.2%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
3.0ms87×body128nan
1.0ms38×body128invalid
Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify99.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01512
11512

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
18.3b
Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

13.4b
(sqrt.f64 (/.f64 A (*.f64 V l)))
5.2b
(/.f64 A (*.f64 V l))
2.4b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
2.4b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.2b
(/.f64 A (*.f64 V l))
13.4b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.1%)

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

6 calls:

9.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.0ms
(/.f64 A (*.f64 V l))
5.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
0.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
0.0ms
(/.f64 A (*.f64 V l))

series332.0ms (1.7%)

Counts
3 → 30
Calls

3 calls:

154.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
108.0ms
(/.f64 A (*.f64 V l))
69.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Compiler

Compiled 782 to 717 computations (8.3% saved)

simplify80.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
048941105
148941105

prune114.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New811596
Fresh000
Picked101
Done000
Total821597
Error
7.9b
Counts
97 → 15
Compiler

Compiled 1291 to 385 computations (70.2% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.6b
(cbrt.f64 A)
0.5b
(*.f64 (cbrt.f64 A) (cbrt.f64 A))
0.2b
(/.f64 (cbrt.f64 A) l)
0.2b
(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)
0.6b
(cbrt.f64 A)
2.4b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
4.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
13.4b
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

rewrite52.0ms (0.3%)

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

8 calls:

16.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
13.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
8.0ms
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms
(cbrt.f64 A)
0.0ms
(/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V)

series470.0ms (2.4%)

Counts
4 → 33
Calls

4 calls:

178.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
132.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
84.0ms
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
76.0ms
(cbrt.f64 A)
Compiler

Compiled 932 to 849 computations (8.9% saved)

simplify79.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050741761

prune116.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1345139
Fresh5914
Picked011
Done000
Total13915154
Error
5.7b
Counts
154 → 15
Compiler

Compiled 2236 to 721 computations (67.8% saved)

localize7.0ms (0%)

Local error

Found 6 expressions with local error:

13.4b
(sqrt.f64 (/.f64 (/.f64 A l) V))
5.5b
(/.f64 (/.f64 A l) V)
2.4b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
2.4b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
5.5b
(/.f64 (/.f64 A l) V)
13.4b
(sqrt.f64 (/.f64 (/.f64 A l) V))

rewrite59.0ms (0.3%)

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

6 calls:

19.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
9.0ms
(sqrt.f64 (/.f64 (/.f64 A l) V))
7.0ms
(/.f64 (/.f64 A l) V)
0.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
0.0ms
(/.f64 (/.f64 A l) V)

series326.0ms (1.7%)

Counts
3 → 30
Calls

3 calls:

148.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
110.0ms
(/.f64 (/.f64 A l) V)
68.0ms
(sqrt.f64 (/.f64 (/.f64 A l) V))
Compiler

Compiled 782 to 717 computations (8.3% saved)

simplify135.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
049173725
149173725

prune205.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New21011221
Fresh5813
Picked011
Done101
Total21620236
Error
0.1b
Counts
236 → 20
Compiler

Compiled 3730 to 997 computations (73.3% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b
(/.f64 (cbrt.f64 A) (cbrt.f64 l))
0.3b
(*.f64 (*.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))) c0) (sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))))
0.2b
(*.f64 (fabs.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V))) c0)
0.1b
(sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))
0.5b
(cbrt.f64 V)
0.5b
(cbrt.f64 V)
0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 A)

rewrite9.0ms (0%)

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

8 calls:

1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 V)
1.0ms
(cbrt.f64 V)
0.0ms
(sqrt.f64 (/.f64 (/.f64 (cbrt.f64 A) (cbrt.f64 l)) (cbrt.f64 V)))

series292.0ms (1.5%)

Counts
4 → 12
Calls

4 calls:

77.0ms
(cbrt.f64 V)
75.0ms
(cbrt.f64 A)
71.0ms
(cbrt.f64 V)
69.0ms
(cbrt.f64 A)
Compiler

Compiled 568 to 436 computations (23.2% saved)

simplify84.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04832324
14832324

prune60.0ms (0.3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New51556
Fresh41418
Picked011
Done011
Total552176
Error
0.0b
Counts
76 → 21
Compiler

Compiled 1340 to 266 computations (80.1% saved)

simplify27.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04221918
14221918

regimes1.2s (6.4%)

Compiler

Compiled 10447 to 7913 computations (24.3% saved)

bsearch0.0ms (0%)

regimes861.0ms (4.5%)

Compiler

Compiled 7967 to 6289 computations (21.1% saved)

bsearch0.0ms (0%)

regimes1.3s (6.5%)

Compiler

Compiled 7799 to 6185 computations (20.7% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes1.2s (6.3%)

Compiler

Compiled 7303 to 5849 computations (19.9% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes872.0ms (4.5%)

Compiler

Compiled 5577 to 4867 computations (12.7% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes1.1s (5.6%)

Compiler

Compiled 5441 to 4771 computations (12.3% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes1.1s (5.9%)

Compiler

Compiled 5297 to 4659 computations (12% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes1.3s (6.5%)

Compiler

Compiled 5153 to 4547 computations (11.8% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes1.0s (5.4%)

Compiler

Compiled 5009 to 4435 computations (11.5% saved)

bsearch2.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes670.0ms (3.5%)

Compiler

Compiled 2852 to 2959 computations (-3.8% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes616.0ms (3.2%)

Compiler

Compiled 2644 to 2783 computations (-5.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes396.0ms (2.1%)

Compiler

Compiled 1289 to 1482 computations (-15% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes385.0ms (2%)

Compiler

Compiled 1064 to 1257 computations (-18.1% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes352.0ms (1.8%)

Compiler

Compiled 920 to 1113 computations (-21% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes340.0ms (1.8%)

Compiler

Compiled 839 to 1032 computations (-23% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes279.0ms (1.5%)

Compiler

Compiled 509 to 702 computations (-37.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes213.0ms (1.1%)

Compiler

Compiled 445 to 638 computations (-43.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 5 computations (-66.7% saved)

regimes91.0ms (0.5%)

Compiler

Compiled 268 to 404 computations (-50.7% saved)

bsearch0.0ms (0%)

regimes62.0ms (0.3%)

Accuracy

Total 1.1b remaining (95.9%)

Threshold costs 0b (0%)

Compiler

Compiled 138 to 246 computations (-78.3% saved)

bsearch44.0ms (0.2%)

Compiler

Compiled 1227 to 629 computations (48.7% saved)

simplify21.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02411821
12411821

end0.0ms (0%)

sample2.7s (13.9%)

Algorithm
1×intervals
Results
304.0ms8000×body128valid
116.0ms2984×body128nan
35.0ms886×body128invalid
Compiler

Compiled 2370 to 1540 computations (35% saved)

Pareto

0.6155882317746978

Profiling

Loading profile data...