Details

Time bar (total: 5.4s)

analyze475.0ms (8.9%)

Algorithm
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)

sample27.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
4.0ms120×body128nan
1.0ms32×body128invalid
Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify171.0ms (3.2%)

Algorithm
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

Merged error: 20.7b

Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.2b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
6.0b
(/.f64 A (*.f64 V l))
17.2b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite22.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_1133
15×sqrt-prod_binary64_1127
11×*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
10×add-cbrt-cube_binary64_1147 associate-*r*_binary64_1051 add-exp-log_binary64_1149
times-frac_binary64_1117
pow1_binary64_1172
div-inv_binary64_1108 associate-/l*_binary64_1056 associate-*l*_binary64_1052 add-log-exp_binary64_1150
prod-exp_binary64_1160 sqrt-div_binary64_1128 cbrt-unprod_binary64_1144 div-exp_binary64_1162 cbrt-undiv_binary64_1145 unswap-sqr_binary64_1079
pow1/2_binary64_1191 *-commutative_binary64_1042 rem-sqrt-square_binary64_1124 associate-/r*_binary64_1055 frac-2neg_binary64_1122 pow-prod-down_binary64_1182 sqrt-pow1_binary64_1129 clear-num_binary64_1110 associate-*r/_binary64_1053
Counts
3 → 66
Calls

3 calls:

9.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.0ms
(/.f64 A (*.f64 V l))
4.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))

series194.0ms (3.6%)

Counts
3 → 9
Calls

3 calls:

96.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
60.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
37.0ms
(/.f64 A (*.f64 V l))

simplify90.0ms (1.7%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04937857
14937857

prune356.0ms (6.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New601575
Fresh000
Picked011
Done000
Total601676

Merged error: 7.0b

Counts
76 → 16
Compiler

Compiled 5383 to 3692 computations (31.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 A)
1.2b
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
2.5b
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
17.2b
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))

rewrite50.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64_1133
28×times-frac_binary64_1117
27×add-exp-log_binary64_1149
26×associate-*r*_binary64_1051
22×*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
20×add-cbrt-cube_binary64_1147
14×cbrt-prod_binary64_1142
11×pow1_binary64_1172
10×associate-*l*_binary64_1052
prod-exp_binary64_1160 cbrt-unprod_binary64_1144
div-exp_binary64_1162 cbrt-undiv_binary64_1145 unswap-sqr_binary64_1079
sqrt-div_binary64_1128 associate-*r/_binary64_1053
add-log-exp_binary64_1150
associate-*l/_binary64_1054 frac-times_binary64_1121 pow-prod-down_binary64_1182
*-commutative_binary64_1042 div-inv_binary64_1108 sqrt-pow1_binary64_1129 sqrt-prod_binary64_1127
pow1/2_binary64_1191 pow1/3_binary64_1193
Counts
4 → 106
Calls

4 calls:

16.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))
14.0ms
(*.f64 c0 (sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))))
9.0ms
(sqrt.f64 (*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l)))
1.0ms
(cbrt.f64 A)

series446.0ms (8.3%)

Counts
4 → 12
Calls

4 calls:

141.0ms
(cbrt.f64 A)
140.0ms
(*.f64 c0 (sqrt.f64 (*.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)))
80.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 A) (cbrt.f64 A)) V) (/.f64 (cbrt.f64 A) l))

simplify74.0ms (1.4%)

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049201503
149201503

prune169.0ms (3.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1135118
Fresh41014
Picked011
Done011
Total11717134

Merged error: 4.1b

Counts
134 → 17
Compiler

Compiled 3102 to 1543 computations (50.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.2b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
5.4b
(/.f64 (/.f64 A l) V)
17.2b
(sqrt.f64 (/.f64 (/.f64 A l) V))

rewrite57.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
213×times-frac_binary64_1117
134×add-sqr-sqrt_binary64_1133
117×*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
89×sqrt-prod_binary64_1127
46×associate-*r*_binary64_1051
13×div-inv_binary64_1108 associate-/l*_binary64_1056
10×add-cbrt-cube_binary64_1147 add-exp-log_binary64_1149
pow1_binary64_1172
unswap-sqr_binary64_1079
rem-sqrt-square_binary64_1124 associate-/r*_binary64_1055 div-exp_binary64_1162 cbrt-undiv_binary64_1145 associate-*l*_binary64_1052 add-log-exp_binary64_1150
sqrt-div_binary64_1128
pow1/2_binary64_1191 *-commutative_binary64_1042 prod-exp_binary64_1160 cbrt-unprod_binary64_1144 frac-2neg_binary64_1122 associate-/l/_binary64_1058 pow-prod-down_binary64_1182 sqrt-pow1_binary64_1129 clear-num_binary64_1110 associate-*r/_binary64_1053
Counts
3 → 191
Calls

3 calls:

19.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
9.0ms
(/.f64 (/.f64 A l) V)
8.0ms
(sqrt.f64 (/.f64 (/.f64 A l) V))

series194.0ms (3.6%)

Counts
3 → 9
Calls

3 calls:

101.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
59.0ms
(sqrt.f64 (/.f64 (/.f64 A l) V))
33.0ms
(/.f64 (/.f64 A l) V)

simplify112.0ms (2.1%)

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
057683477

prune641.0ms (12%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New18812200
Fresh8614
Picked011
Done202
Total19819217

Merged error: 0.0b

Counts
217 → 19
Compiler

Compiled 11545 to 6733 computations (41.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_1142
*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 add-cube-cbrt_binary64_1146
add-cbrt-cube_binary64_1147 pow1/3_binary64_1193 add-log-exp_binary64_1150 pow1_binary64_1172 add-exp-log_binary64_1149
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 V)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 V)

series594.0ms (11.1%)

Counts
4 → 12
Calls

4 calls:

161.0ms
(cbrt.f64 A)
148.0ms
(cbrt.f64 V)
147.0ms
(cbrt.f64 A)
138.0ms
(cbrt.f64 V)

simplify58.0ms (1.1%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05042340

prune159.0ms (3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New53356
Fresh11617
Picked011
Done011
Total542175

Merged error: 0.0b

Counts
75 → 21
Compiler

Compiled 3264 to 1603 computations (50.9% saved)

regimes304.0ms (5.7%)

Compiler

Compiled 2887 to 2018 computations (30.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01635
11635

end0.0ms (0%)

sample1.1s (20.7%)

Algorithm
intervals
Results
299.0ms8000×body128valid
108.0ms2938×body128nan
31.0ms870×body128invalid
Compiler

Compiled 415 to 288 computations (30.6% saved)

Profiling

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