Details

Time bar (total: 2.9s)

analyze2.0ms (0.1%)

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

Compiled 16 to 11 computations (31.3% saved)

sample20.0ms (0.7%)

Algorithm
1×intervals
Results
5.0ms256×pre128true
4.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify100.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
07010
17010

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 a b) (+.f64 a b))

rewrite47.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
19×*-un-lft-identity_binary64_2124
8×pow1_binary64_2185
7×add-sqr-sqrt_binary64_2146
6×flip3-+_binary64_2127 flip-+_binary64_2098 swap-sqr_binary64_2091 distribute-lft-out_binary64_2075
5×add-cube-cbrt_binary64_2159
4×frac-times_binary64_2134 associate-*l*_binary64_2065 associate-*r*_binary64_2064
3×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
2×associate-*l/_binary64_2067 associate-*r/_binary64_2066
1×pow2_binary64_2205 pow-prod-down_binary64_2195 pow-prod-up_binary64_2194 pow-plus_binary64_2187 prod-exp_binary64_2173 add-log-exp_binary64_2163 cbrt-unprod_binary64_2157 pow-sqr_binary64_2097 unswap-sqr_binary64_2092 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 *-commutative_binary64_2055
Counts
1 → 40
Calls

1 calls:

10.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
Compiler

Compiled 610 to 146 computations (76.1% saved)

series104.0ms (3.6%)

Error
0.0b
Counts
1 → 18
Calls

1 calls:

92.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
Compiler

Compiled 378 to 297 computations (21.4% saved)

simplify71.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04969634
14969634

prune39.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh000
Picked101
Done000
Total55459
Error
0.0b
Counts
59 → 4
Compiler

Compiled 597 to 225 computations (62.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 b (+.f64 b a))
0.0b
(*.f64 a (+.f64 b a))
0.0b
(+.f64 (*.f64 a (+.f64 b a)) (*.f64 b (+.f64 b a)))

rewrite72.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
12×associate-*r/_binary64_2066
11×add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
8×associate-*r*_binary64_2064
7×pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 add-cube-cbrt_binary64_2159 flip3-+_binary64_2127 flip-+_binary64_2098
6×associate-*l*_binary64_2065
5×add-log-exp_binary64_2163
4×frac-add_binary64_2132 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073
2×associate-+l+_binary64_2057 associate-+r+_binary64_2056 pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157 unswap-sqr_binary64_2092 distribute-lft-out_binary64_2075 *-commutative_binary64_2055
1×sum-log_binary64_2215 distribute-rgt-out_binary64_2077 +-commutative_binary64_2054
Counts
3 → 66
Calls

3 calls:

8.0ms
(+.f64 (*.f64 a (+.f64 b a)) (*.f64 b (+.f64 b a)))
6.0ms
(*.f64 a (+.f64 b a))
6.0ms
(*.f64 b (+.f64 b a))
Compiler

Compiled 1299 to 263 computations (79.8% saved)

series308.0ms (10.6%)

Error
0.0b
Counts
3 → 42
Calls

3 calls:

152.0ms
(+.f64 (*.f64 a (+.f64 b a)) (*.f64 b (+.f64 b a)))
68.0ms
(*.f64 b (+.f64 b a))
64.0ms
(*.f64 a (+.f64 b a))
Compiler

Compiled 1062 to 662 computations (37.7% saved)

simplify89.0ms (3%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
047451110
147451110

prune60.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh123
Picked011
Done000
Total1084112
Error
0b
Counts
112 → 4
Compiler

Compiled 1434 to 306 computations (78.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 a (+.f64 (*.f64 b 2) a))

rewrite25.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
5×add-sqr-sqrt_binary64_2146
3×pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 associate-*l*_binary64_2065 associate-*r*_binary64_2064
2×associate-*r/_binary64_2066
1×pow-prod-down_binary64_2195 prod-exp_binary64_2173 add-log-exp_binary64_2163 cbrt-unprod_binary64_2157 unswap-sqr_binary64_2092 distribute-rgt-in_binary64_2074 distribute-lft-in_binary64_2073 flip3-+_binary64_2127 flip-+_binary64_2098 *-commutative_binary64_2055
Counts
1 → 22
Calls

1 calls:

7.0ms
(*.f64 a (+.f64 (*.f64 b 2) a))
Compiler

Compiled 318 to 200 computations (37.1% saved)

series98.0ms (3.4%)

Error
0b
Counts
1 → 12
Calls

1 calls:

93.0ms
(*.f64 a (+.f64 (*.f64 b 2) a))
Compiler

Compiled 210 to 168 computations (20% saved)

simplify70.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04942379
14942379

prune19.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh022
Picked011
Done011
Total34438
Error
0b
Counts
38 → 4
Compiler

Compiled 372 to 124 computations (66.7% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 b (+.f64 b a))
0.0b
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 (+.f64 b a) (sqrt.f64 a))) (*.f64 b (+.f64 b a)))
0.3b
(*.f64 (+.f64 b a) (sqrt.f64 a))
0.4b
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 b a) (sqrt.f64 a)))

rewrite109.0ms (3.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
17×add-sqr-sqrt_binary64_2146
15×*-un-lft-identity_binary64_2124
13×pow1_binary64_2185 add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 associate-*l*_binary64_2065
12×associate-*r/_binary64_2066
11×add-cube-cbrt_binary64_2159 associate-*r*_binary64_2064
8×flip3-+_binary64_2127 associate-*l/_binary64_2067 flip-+_binary64_2098
7×sqrt-prod_binary64_2140
6×add-log-exp_binary64_2163
5×pow-prod-down_binary64_2195 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
4×frac-add_binary64_2132
3×*-commutative_binary64_2055 unswap-sqr_binary64_2092
2×distribute-lft-out_binary64_2075 distribute-rgt-in_binary64_2074 associate-+r+_binary64_2056 distribute-lft-in_binary64_2073
1×sum-log_binary64_2215 +-commutative_binary64_2054
Counts
4 → 88
Calls

4 calls:

11.0ms
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 b a) (sqrt.f64 a)))
11.0ms
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 (+.f64 b a) (sqrt.f64 a))) (*.f64 b (+.f64 b a)))
8.0ms
(*.f64 (+.f64 b a) (sqrt.f64 a))
6.0ms
(*.f64 b (+.f64 b a))
Compiler

Compiled 2140 to 366 computations (82.9% saved)

series365.0ms (12.6%)

Error
0b
Counts
4 → 48
Calls

4 calls:

136.0ms
(+.f64 (*.f64 (sqrt.f64 a) (*.f64 (+.f64 b a) (sqrt.f64 a))) (*.f64 b (+.f64 b a)))
74.0ms
(*.f64 b (+.f64 b a))
66.0ms
(*.f64 (+.f64 b a) (sqrt.f64 a))
64.0ms
(*.f64 (sqrt.f64 a) (*.f64 (+.f64 b a) (sqrt.f64 a)))
Compiler

Compiled 1532 to 890 computations (41.9% saved)

simplify64.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050211558

prune82.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh011
Picked011
Done022
Total1364140
Error
0b
Counts
140 → 4
Compiler

Compiled 2234 to 431 computations (80.7% saved)

regimes177.0ms (6.1%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 1700 to 917 computations (46.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
11419

end0.0ms (0%)

sample961.0ms (33%)

Algorithm
1×intervals
Results
187.0ms8000×pre128true
141.0ms8000×body128valid
Compiler

Compiled 438 to 244 computations (44.3% saved)

Profiling

Loading profile data...