Details

Time bar (total: 6.4s)

analyze312.0ms (4.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample43.0ms (0.7%)

Algorithm
1×intervals
Results
10.0ms94×body256valid
10.0ms289×pre128true
9.0ms161×body128valid
2.0ms33×body128nan
0.0ms1×body512valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify594.0ms (9.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (409.0ms)

IterNodesCost
0170624
1170624

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 42.9b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
38.9b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite46.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_2146
14×add-exp-log_binary64_2162 *-un-lft-identity_binary64_2124 add-cbrt-cube_binary64_2160
9×pow1_binary64_2185
8×add-log-exp_binary64_2163 add-cube-cbrt_binary64_2159
6×difference-of-squares_binary64_2093 associate-/l*_binary64_2069 times-frac_binary64_2130
4×cancel-sign-sub-inv_binary64_2090 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
3×flip--_binary64_2099 pow-prod-down_binary64_2195 flip3--_binary64_2128 distribute-lft-out--_binary64_2076 sqrt-prod_binary64_2140 associate-*r*_binary64_2064
2×cbrt-undiv_binary64_2158 diff-log_binary64_2216 sub-neg_binary64_2117 associate-/l/_binary64_2071 div-exp_binary64_2175
1×clear-num_binary64_2123 *-commutative_binary64_2055 associate-/r*_binary64_2068 associate-*l*_binary64_2065 div-sub_binary64_2129 div-inv_binary64_2121 frac-2neg_binary64_2135
Counts
4 → 77
Calls

4 calls:

15.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
14.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
6.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series612.0ms (9.5%)

Counts
4 → 12
Calls

4 calls:

277.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
214.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
86.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
34.0ms
(*.f64 (*.f64 3 a) c)

simplify81.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049221823
149221823

prune166.0ms (2.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 5.2b

Counts
90 → 13
Compiler

Compiled 2376 to 1444 computations (39.2% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune20.0ms (0.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 5.2b

Counts
13 → 13
Compiler

Compiled 395 to 278 computations (29.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
0.4b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))

rewrite29.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
17×prod-exp_binary64_2173 cbrt-unprod_binary64_2157
16×cbrt-undiv_binary64_2158 div-exp_binary64_2175
10×add-sqr-sqrt_binary64_2146
8×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
7×associate-*r*_binary64_2064 times-frac_binary64_2130
5×pow1_binary64_2185
4×associate-/r*_binary64_2068
3×add-log-exp_binary64_2163 associate-*l*_binary64_2065 div-inv_binary64_2121
2×clear-num_binary64_2123 associate-/l*_binary64_2069 associate-*r/_binary64_2066 frac-2neg_binary64_2135
1×pow-prod-down_binary64_2195 unswap-sqr_binary64_2092 *-commutative_binary64_2055 associate-/l/_binary64_2071
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
8.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series132.0ms (2%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
45.0ms
(/.f64 (*.f64 a c) b)
36.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify100.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05036877

prune144.0ms (2.2%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New751287
Fresh01111
Picked101
Done011
Total7624100

Merged error: 5.1b

Counts
100 → 24
Compiler

Compiled 1642 to 964 computations (41.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 b (/.f64 3 c))
0.3b
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))

rewrite22.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_2146
16×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160
13×associate-*r*_binary64_2064 times-frac_binary64_2130
12×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
5×cbrt-undiv_binary64_2158 div-exp_binary64_2175
4×pow1_binary64_2185 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
3×associate-/l*_binary64_2069 associate-*l*_binary64_2065
2×unswap-sqr_binary64_2092 add-log-exp_binary64_2163 associate-*r/_binary64_2066 div-inv_binary64_2121
1×pow-prod-down_binary64_2195 clear-num_binary64_2123 associate-/r/_binary64_2070 *-commutative_binary64_2055 associate-/r*_binary64_2068 frac-2neg_binary64_2135
Counts
2 → 56
Calls

2 calls:

9.0ms
(*.f64 b (/.f64 3 c))
6.0ms
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))

series67.0ms (1%)

Counts
2 → 6
Calls

2 calls:

35.0ms
(/.f64 -3/2 (*.f64 b (/.f64 3 c)))
31.0ms
(*.f64 b (/.f64 3 c))

simplify131.0ms (2%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (119.0ms)

IterNodesCost
04988605
14988605

prune64.0ms (1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New55762
Fresh31922
Picked011
Done011
Total582886

Merged error: 5.1b

Counts
86 → 28
Compiler

Compiled 641 to 446 computations (30.4% saved)

regimes948.0ms (14.7%)

Compiler

Compiled 6431 to 5076 computations (21.1% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.9s (44.8%)

Algorithm
1×intervals
Results
370.0ms2879×body256valid
344.0ms8906×pre128true
331.0ms5120×body128valid
55.0ms906×body128nan
0.0ms1×body512valid
Compiler

Compiled 1361 to 1065 computations (21.7% saved)

Profiling

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