Details

Time bar (total: 2.3s)

analyze6.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 36 to 29 computations (19.4% saved)

sample26.0ms (1.1%)

Algorithm
intervals
Results
20.0ms256×body128valid
Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify261.0ms (11.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0493740
1493740

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 2
Compiler

Compiled 89 to 72 computations (19.1% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
0.1b
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
0.1b
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))

rewrite85.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
146×*-un-lft-identity_binary64_1088
74×times-frac_binary64_1094
70×distribute-lft-out_binary64_1041
58×add-sqr-sqrt_binary64_1109
48×associate-*r*_binary64_1030 add-cube-cbrt_binary64_1120
18×add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123 div-inv_binary64_1085
12×associate-/r*_binary64_1034
associate-/r/_binary64_1036 pow1_binary64_1146
associate-*l*_binary64_1031 associate-/l*_binary64_1035
unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 div-exp_binary64_1136 flip-+_binary64_1062 cbrt-undiv_binary64_1119 prod-exp_binary64_1134 add-log-exp_binary64_1124 flip3-+_binary64_1091
*-commutative_binary64_1021 clear-num_binary64_1087 frac-2neg_binary64_1099 pow-prod-down_binary64_1156 associate-*r/_binary64_1032
Counts
4 → 168
Calls

4 calls:

21.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
19.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
12.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
11.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series118.0ms (5.2%)

Counts
4 → 12
Calls

4 calls:

34.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
32.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
27.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
25.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify72.0ms (3.2%)

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049233140
149233140

prune362.0ms (15.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh011
Picked011
Done000
Total1802182

Merged error: 0b

Counts
182 → 2
Compiler

Compiled 6171 to 4863 computations (21.2% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 (*.f64 2 t) (+.f64 1 t))
0.3b
(/.f64 (*.f64 2 t) (+.f64 1 t))
0.3b
(/.f64 (*.f64 2 t) (+.f64 1 t))
0.3b
(/.f64 (*.f64 2 t) (+.f64 1 t))

rewrite43.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_1088
24×add-cbrt-cube_binary64_1121 add-exp-log_binary64_1123
16×associate-/r*_binary64_1034 times-frac_binary64_1094
12×add-sqr-sqrt_binary64_1109 add-cube-cbrt_binary64_1120
associate-/r/_binary64_1036 div-exp_binary64_1136 cbrt-undiv_binary64_1119 distribute-lft-out_binary64_1041
clear-num_binary64_1087 frac-2neg_binary64_1099 cbrt-unprod_binary64_1118 flip-+_binary64_1062 prod-exp_binary64_1134 add-log-exp_binary64_1124 pow1_binary64_1146 flip3-+_binary64_1091 associate-/l*_binary64_1035 div-inv_binary64_1085
Counts
4 → 100
Calls

4 calls:

7.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
7.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
7.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
7.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))

series105.0ms (4.6%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
27.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
25.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
25.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))

simplify77.0ms (3.4%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049131408
149131408

prune224.0ms (9.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done011
Total1122114

Merged error: 0b

Counts
114 → 2
Compiler

Compiled 4392 to 3296 computations (25% saved)

regimes45.0ms (2%)

Compiler

Compiled 364 to 294 computations (19.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01940
11940

end0.0ms (0%)

sample823.0ms (36.2%)

Algorithm
intervals
Results
620.0ms8000×body128valid
Compiler

Compiled 125 to 102 computations (18.4% saved)

Profiling

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