Details

Time bar (total: 2.3s)

analyze6.0ms (0.3%)

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
19.0ms256×body128valid
Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify276.0ms (12.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (104.0ms)

IterNodesCost
0493740
1493740

prune8.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 2
Compiler

Compiled 151 to 122 computations (19.2% 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 (3.8%)

Algorithm
rewrite-expression-head
Rules
146×*-un-lft-identity_binary64_1111
74×times-frac_binary64_1117
70×distribute-lft-out_binary64_1062
58×add-sqr-sqrt_binary64_1133
48×add-cube-cbrt_binary64_1146 associate-*r*_binary64_1051
18×add-cbrt-cube_binary64_1147 div-inv_binary64_1108 add-exp-log_binary64_1149
12×associate-/r*_binary64_1055
pow1_binary64_1172 associate-/r/_binary64_1057
associate-/l*_binary64_1056 associate-*l*_binary64_1052
prod-exp_binary64_1160 cbrt-unprod_binary64_1144 flip-+_binary64_1085 flip3-+_binary64_1114 div-exp_binary64_1162 cbrt-undiv_binary64_1145 unswap-sqr_binary64_1079 add-log-exp_binary64_1150
*-commutative_binary64_1042 frac-2neg_binary64_1122 pow-prod-down_binary64_1182 clear-num_binary64_1110 associate-*r/_binary64_1053
Counts
4 → 168
Calls

4 calls:

22.0ms
(*.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))))

series115.0ms (5.1%)

Counts
4 → 12
Calls

4 calls:

36.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
32.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
24.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
22.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

simplify60.0ms (2.6%)

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049223140
149223140

prune356.0ms (15.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh011
Picked011
Done000
Total1802182

Merged error: 0b

Counts
182 → 2
Compiler

Compiled 6267 to 4942 computations (21.1% 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))

rewrite42.0ms (1.9%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_1111
24×add-cbrt-cube_binary64_1147 add-exp-log_binary64_1149
16×times-frac_binary64_1117 associate-/r*_binary64_1055
12×add-sqr-sqrt_binary64_1133 add-cube-cbrt_binary64_1146
div-exp_binary64_1162 cbrt-undiv_binary64_1145 distribute-lft-out_binary64_1062 associate-/r/_binary64_1057
prod-exp_binary64_1160 cbrt-unprod_binary64_1144 div-inv_binary64_1108 flip-+_binary64_1085 frac-2neg_binary64_1122 associate-/l*_binary64_1056 flip3-+_binary64_1114 add-log-exp_binary64_1150 pow1_binary64_1172 clear-num_binary64_1110
Counts
4 → 100
Calls

4 calls:

9.0ms
(/.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))

series110.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

31.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))
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))

simplify67.0ms (3%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049001408
149001408

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%)

sample820.0ms (36.3%)

Algorithm
intervals
Results
614.0ms8000×body128valid
Compiler

Compiled 125 to 102 computations (18.4% saved)

Profiling

Loading profile data...