Details

Time bar (total: 2.0s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 8 to 6 computations (25% saved)

sample10.0ms (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify161.0ms (7.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0810
1810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.2b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.2b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite9.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64_1109 times-frac_binary64_1094 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
3×add-cbrt-cube_binary64_1121 associate-/r*_binary64_1034 add-exp-log_binary64_1123 associate-/l*_binary64_1035
2×associate-/r/_binary64_1036
1×clear-num_binary64_1087 frac-2neg_binary64_1099 div-exp_binary64_1136 flip-+_binary64_1062 cbrt-undiv_binary64_1119 add-log-exp_binary64_1124 pow1_binary64_1146 flip3-+_binary64_1091 div-inv_binary64_1085
Counts
1 → 29
Calls

1 calls:

6.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series53.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify57.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05078550

prune37.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New29332
Fresh000
Picked101
Done000
Total30333

Merged error: 0b

Counts
33 → 3
Compiler

Compiled 499 to 278 computations (44.3% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
0.0b
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
15.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
15.2b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite73.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Rules
288×times-frac_binary64_1094
164×add-sqr-sqrt_binary64_1109
162×*-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
156×sqrt-prod_binary64_1103
27×associate-/l*_binary64_1035
22×sqrt-div_binary64_1104
18×associate-/r/_binary64_1036
12×associate-/r*_binary64_1034
11×add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123 flip-+_binary64_1062 flip3-+_binary64_1091
9×div-inv_binary64_1085
6×pow1_binary64_1146
4×div-exp_binary64_1136 cbrt-undiv_binary64_1119 add-log-exp_binary64_1124
2×clear-num_binary64_1087 frac-2neg_binary64_1099 rem-sqrt-square_binary64_1101 sqrt-pow1_binary64_1105 pow1/2_binary64_1165
1×associate-/l/_binary64_1037
Counts
4 → 262
Calls

4 calls:

19.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series196.0ms (9.6%)

Counts
4 → 12
Calls

4 calls:

70.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
54.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
37.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
33.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify126.0ms (6.2%)

Algorithm
1×egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050668543

prune372.0ms (18.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2740274
Fresh022
Picked011
Done000
Total2743277

Merged error: 0b

Counts
277 → 3
Compiler

Compiled 6881 to 3963 computations (42.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
15.2b
(/.f64 (+.f64 (*.f64 x x) 1) x)

rewrite25.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64_1094
52×add-sqr-sqrt_binary64_1109 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
16×associate-/r*_binary64_1034
15×add-exp-log_binary64_1123
9×add-cbrt-cube_binary64_1121
8×div-exp_binary64_1136
6×associate-/l*_binary64_1035 div-inv_binary64_1085
4×cbrt-undiv_binary64_1119
3×pow1_binary64_1146
2×clear-num_binary64_1087 frac-2neg_binary64_1099 associate-/l/_binary64_1037 rec-exp_binary64_1135 1-exp_binary64_1129 add-log-exp_binary64_1124
1×inv-pow_binary64_1170 associate-/r/_binary64_1036 flip-+_binary64_1062 pow-flip_binary64_1159 flip3-+_binary64_1091
Counts
2 → 105
Calls

2 calls:

9.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))
7.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)

series152.0ms (7.5%)

Counts
2 → 6
Calls

2 calls:

100.0ms
(/.f64 (+.f64 (*.f64 x x) 1) x)
52.0ms
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 1) x))

simplify96.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
058822232

prune92.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh101
Picked011
Done011
Total1113114

Merged error: 0b

Counts
114 → 3
Compiler

Compiled 1857 to 1063 computations (42.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b
(/.f64 1 (+.f64 x (/.f64 1 x)))

rewrite14.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
24×*-un-lft-identity_binary64_1088
18×times-frac_binary64_1094
13×add-exp-log_binary64_1123
12×add-sqr-sqrt_binary64_1109 add-cube-cbrt_binary64_1120
8×distribute-lft-out_binary64_1041
6×associate-/r*_binary64_1034
5×rec-exp_binary64_1135 div-inv_binary64_1085
4×cosh-undef_binary64_1279
3×add-cbrt-cube_binary64_1121 associate-/l*_binary64_1035
2×associate-/r/_binary64_1036 div-exp_binary64_1136 pow1_binary64_1146
1×clear-num_binary64_1087 frac-2neg_binary64_1099 inv-pow_binary64_1170 1-exp_binary64_1129 flip-+_binary64_1062 cbrt-undiv_binary64_1119 add-log-exp_binary64_1124 pow-flip_binary64_1159 flip3-+_binary64_1091
Counts
1 → 45
Calls

1 calls:

11.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

series36.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(/.f64 1 (+.f64 x (/.f64 1 x)))

simplify89.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04899672
14899672

prune38.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done022
Total48351

Merged error: 0b

Counts
51 → 3
Compiler

Compiled 585 to 445 computations (23.9% saved)

regimes9.0ms (0.4%)

Compiler

Compiled 33 to 25 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample367.0ms (18%)

Algorithm
1×intervals
Results
182.0ms8000×body128valid
Compiler

Compiled 53 to 42 computations (20.8% saved)

Profiling

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