Details

Time bar (total: 2.9s)

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 (0.9%)

Algorithm
intervals
Results
19.0ms256×body128valid
Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify275.0ms (9.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
0493740
1493740

prune8.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 151 to 122 computations (19.2% saved)

localize11.0ms (0.4%)

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)))))

rewrite89.0ms (3%)

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:

23.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
20.0ms
(*.f64 t (/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t)))))
12.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))
12.0ms
(/.f64 4 (+.f64 2 (+.f64 t (/.f64 1 t))))

series115.0ms (3.9%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(*.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))))

simplify63.0ms (2.1%)

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
049223140
149223140

prune352.0ms (12%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh011
Picked011
Done000
Total1802182

Merged error: 0.0b

Counts
182 → 2
Compiler

Compiled 6171 to 4863 computations (21.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

rewrite88.0ms (3%)

Algorithm
rewrite-expression-head
Rules
83×add-cbrt-cube_binary64_1147 add-exp-log_binary64_1149
62×*-un-lft-identity_binary64_1111
53×times-frac_binary64_1117
34×add-sqr-sqrt_binary64_1133
31×prod-exp_binary64_1160 cbrt-unprod_binary64_1144
30×add-cube-cbrt_binary64_1146
27×div-exp_binary64_1162 cbrt-undiv_binary64_1145
24×swap-sqr_binary64_1078
20×associate-*r*_binary64_1051 associate-*l*_binary64_1052 associate-/r/_binary64_1057
18×pow1_binary64_1172
14×distribute-lft-out_binary64_1062
11×flip-+_binary64_1085 flip3-+_binary64_1114
10×div-inv_binary64_1108
associate-/r*_binary64_1055
associate-/l*_binary64_1056 add-log-exp_binary64_1150
*-commutative_binary64_1042 pow-prod-up_binary64_1181 associate-*l/_binary64_1054 frac-times_binary64_1121 frac-2neg_binary64_1122 associate-/l/_binary64_1058 pow-plus_binary64_1174 pow-sqr_binary64_1084 pow-prod-down_binary64_1182 unswap-sqr_binary64_1079 pow2_binary64_1192 clear-num_binary64_1110 associate-*r/_binary64_1053
Counts
4 → 190
Calls

4 calls:

22.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
19.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
10.0ms
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
7.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))

series161.0ms (5.5%)

Counts
4 → 12
Calls

4 calls:

71.0ms
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
31.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
30.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
29.0ms
(/.f64 (*.f64 2 t) (+.f64 1 t))

simplify90.0ms (3.1%)

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050994456

prune487.0ms (16.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2011202
Fresh000
Picked011
Done011
Total2013204

Merged error: 0b

Counts
204 → 3
Compiler

Compiled 7997 to 6310 computations (21.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 t 3))
7.0b
(-.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_1133
12×associate-*r*_binary64_1051
add-log-exp_binary64_1150 add-exp-log_binary64_1149
*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
unpow-prod-down_binary64_1190 add-cbrt-cube_binary64_1147 cube-prod_binary64_1139 unswap-sqr_binary64_1079
prod-exp_binary64_1160 associate-*l*_binary64_1052
diff-log_binary64_1203 pow1_binary64_1172 sqr-pow_binary64_1083
*-commutative_binary64_1042 cube-mult_binary64_1141 cbrt-unprod_binary64_1144 cancel-sign-sub-inv_binary64_1077 flip3--_binary64_1115 associate--l+_binary64_1048 pow-exp_binary64_1179 unpow3_binary64_1177 sum-log_binary64_1202 pow-to-exp_binary64_1180 sub-neg_binary64_1104 flip--_binary64_1086
Counts
2 → 45
Calls

2 calls:

8.0ms
(-.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))
8.0ms
(*.f64 2 (pow.f64 t 3))

series88.0ms (3%)

Counts
2 → 6
Calls

2 calls:

51.0ms
(*.f64 2 (pow.f64 t 3))
38.0ms
(-.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))

simplify101.0ms (3.4%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04981651
14981651

prune44.0ms (1.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done022
Total51354

Merged error: 0b

Counts
54 → 3
Compiler

Compiled 794 to 537 computations (32.4% saved)

regimes54.0ms (1.9%)

Compiler

Compiled 408 to 330 computations (19.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01940
11940

end0.0ms (0%)

sample839.0ms (28.6%)

Algorithm
intervals
Results
604.0ms8000×body128valid
Compiler

Compiled 136 to 111 computations (18.4% saved)

Profiling

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