Details

Time bar (total: 3.0s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 20 to 16 computations (20% saved)

sample24.0ms (0.8%)

Algorithm
1×intervals
Results
18.0ms256×body80valid
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify123.0ms (4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (108.0ms)

IterNodesCost
0498229
1498229

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 38 to 30 computations (21.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.1b
(*.f64 3 (*.f64 v v))

rewrite53.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
26×associate-*l*_binary64
23×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
20×sqrt-prod_binary64
18×frac-times_binary64 sqrt-div_binary64
17×pow1_binary64
15×flip3--_binary64 flip--_binary64
12×associate-*r*_binary64
10×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
9×associate-*l/_binary64
7×pow-prod-down_binary64 unswap-sqr_binary64
4×add-log-exp_binary64 insert-posit16
3×*-commutative_binary64
2×sub-neg_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×pow1/2_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64
Counts
4 → 131
Calls

4 calls:

18.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
15.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))

series360.0ms (11.8%)

Counts
4 → 12
Calls

4 calls:

160.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
102.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
56.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
42.0ms
(*.f64 3 (*.f64 v v))

simplify91.0ms (3%)

Algorithm
1×egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
051783676

prune231.0ms (7.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1412143
Fresh000
Picked011
Done000
Total1413144

Merged error: 0b

Counts
144 → 3
Compiler

Compiled 3946 to 2938 computations (25.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
0.1b
(*.f64 3 (*.f64 v v))

rewrite35.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
40×add-sqr-sqrt_binary64
25×associate-*l*_binary64
22×*-un-lft-identity_binary64 add-cube-cbrt_binary64 times-frac_binary64
20×sqrt-prod_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×pow1_binary64
7×associate-*r*_binary64 unswap-sqr_binary64
6×sqrt-div_binary64
5×add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64
4×pow-prod-down_binary64 insert-posit16
3×flip3--_binary64 log-prod_binary64 log-pow_binary64 flip--_binary64
2×associate-*r/_binary64 frac-times_binary64 *-commutative_binary64
1×pow1/2_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64 div-exp_binary64 exp-to-pow_binary64 associate-*l/_binary64 exp-prod_binary64
Counts
4 → 104
Calls

4 calls:

14.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
7.0ms
(*.f64 3 (*.f64 v v))
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
2.0ms
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))))

series306.0ms (10%)

Counts
4 → 12
Calls

4 calls:

109.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
105.0ms
(log.f64 (exp.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))))
50.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
42.0ms
(*.f64 3 (*.f64 v v))

simplify127.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
049712453
149712453

prune188.0ms (6.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done011
Total1163119

Merged error: 0b

Counts
119 → 3
Compiler

Compiled 3278 to 2493 computations (23.9% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))
0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
0.1b
(*.f64 3 (*.f64 v v))
3.8b
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

rewrite40.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
46×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
28×sqrt-prod_binary64
25×associate-*l*_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
15×pow1_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
11×associate-*r*_binary64
7×unswap-sqr_binary64
6×sqrt-div_binary64
5×add-log-exp_binary64 cbrt-unprod_binary64 log-pow_binary64 prod-exp_binary64
4×pow-prod-down_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 insert-posit16
3×flip3--_binary64 log-prod_binary64 flip--_binary64
2×associate-*r/_binary64 frac-times_binary64 *-commutative_binary64
1×pow1/2_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64 div-exp_binary64 exp-to-pow_binary64 associate-*l/_binary64 exp-prod_binary64
Counts
4 → 112
Calls

4 calls:

20.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
7.0ms
(*.f64 3 (*.f64 v v))
6.0ms
(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))
3.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))

series242.0ms (8%)

Counts
4 → 12
Calls

4 calls:

105.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v)))))))
50.0ms
(sqrt.f64 (-.f64 1 (log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))))
44.0ms
(log.f64 (exp.f64 (*.f64 3 (*.f64 v v))))
43.0ms
(*.f64 3 (*.f64 v v))

simplify129.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
049972258
149972258

prune370.0ms (12.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1240124
Fresh000
Picked011
Done022
Total1243127

Merged error: 0b

Counts
127 → 3
Compiler

Compiled 3259 to 2421 computations (25.7% saved)

regimes30.0ms (1%)

Compiler

Compiled 229 to 183 computations (20.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05529
15529

end0.0ms (0%)

sample640.0ms (21%)

Algorithm
1×intervals
Results
433.0ms8000×body80valid
0.0ms2×body80nan
Compiler

Compiled 100 to 81 computations (19% saved)

Profiling

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