Details

Time bar (total: 5.3s)

analyze260.0ms (4.9%)

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)

sample32.0ms (0.6%)

Algorithm
1×intervals
Results
12.0ms243×body128valid
8.0ms277×pre128true
1.0ms13×body256valid
1.0ms21×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify463.0ms (8.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (296.0ms)

IterNodesCost
0170624
1170624

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.2b

Counts
2 → 1
Compiler

Compiled 65 to 53 computations (18.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
31.0b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_2165
14×add-exp-log_binary64_2181 *-un-lft-identity_binary64_2143 add-cbrt-cube_binary64_2179
9×pow1_binary64_2204
8×add-log-exp_binary64_2182 add-cube-cbrt_binary64_2178
6×associate-/l*_binary64_2088 difference-of-squares_binary64_2112 times-frac_binary64_2149
4×cbrt-unprod_binary64_2176 prod-exp_binary64_2192 cancel-sign-sub-inv_binary64_2109
3×flip--_binary64_2118 associate-*r*_binary64_2083 distribute-lft-out--_binary64_2095 sqrt-prod_binary64_2159 flip3--_binary64_2147 pow-prod-down_binary64_2214
2×cbrt-undiv_binary64_2177 diff-log_binary64_2235 sub-neg_binary64_2136 div-exp_binary64_2194 associate-/l/_binary64_2090
1×clear-num_binary64_2142 associate-/r*_binary64_2087 div-inv_binary64_2140 associate-*l*_binary64_2084 *-commutative_binary64_2074 frac-2neg_binary64_2154 div-sub_binary64_2148
Counts
4 → 77
Calls

4 calls:

13.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.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))

series446.0ms (8.4%)

Counts
4 → 12
Calls

4 calls:

220.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
134.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
65.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
27.0ms
(*.f64 (*.f64 3 a) c)

simplify73.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049221823
149221823

prune509.0ms (9.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 8.8b

Counts
90 → 15
Compiler

Compiled 10727 to 7413 computations (30.9% 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

prune22.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515

Merged error: 8.8b

Counts
15 → 15
Compiler

Compiled 435 to 308 computations (29.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite29.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
17×cbrt-unprod_binary64_2176 prod-exp_binary64_2192
16×cbrt-undiv_binary64_2177 div-exp_binary64_2194
10×add-sqr-sqrt_binary64_2165
8×add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
7×associate-*r*_binary64_2083 times-frac_binary64_2149
5×pow1_binary64_2204
4×associate-/r*_binary64_2087
3×add-log-exp_binary64_2182 div-inv_binary64_2140 associate-*l*_binary64_2084
2×clear-num_binary64_2142 associate-/l*_binary64_2088 associate-*r/_binary64_2085 frac-2neg_binary64_2154
1×pow-prod-down_binary64_2214 unswap-sqr_binary64_2111 *-commutative_binary64_2074 associate-/l/_binary64_2090
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series120.0ms (2.3%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
37.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
33.0ms
(/.f64 (*.f64 a c) b)

simplify67.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05036877

prune735.0ms (13.8%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New741387
Fresh01313
Picked101
Done011
Total7527102

Merged error: 8.7b

Counts
102 → 27
Compiler

Compiled 14714 to 10521 computations (28.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite27.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
24×cbrt-unprod_binary64_2176 prod-exp_binary64_2192
13×pow1_binary64_2204
9×cbrt-undiv_binary64_2177 div-exp_binary64_2194
6×associate-*l*_binary64_2084 pow-prod-down_binary64_2214
5×add-sqr-sqrt_binary64_2165 add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
3×add-log-exp_binary64_2182
2×associate-*r*_binary64_2083 *-commutative_binary64_2074
1×clear-num_binary64_2142 associate-/r*_binary64_2087 associate-/l*_binary64_2088 div-inv_binary64_2140 times-frac_binary64_2149 frac-2neg_binary64_2154
Counts
3 → 67
Calls

3 calls:

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

series103.0ms (1.9%)

Counts
3 → 9
Calls

3 calls:

37.0ms
(/.f64 (*.f64 -3/2 (*.f64 a c)) (*.f64 b (*.f64 a 3)))
34.0ms
(*.f64 -3/2 (*.f64 a c))
32.0ms
(*.f64 b (*.f64 a 3))

simplify54.0ms (1%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05129674

prune434.0ms (8.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New69776
Fresh42125
Picked101
Done011
Total7429103

Merged error: 8.6b

Counts
103 → 29
Compiler

Compiled 8370 to 6093 computations (27.2% saved)

regimes339.0ms (6.3%)

Compiler

Compiled 2708 to 2052 computations (24.2% saved)

bsearch6.0ms (0.1%)

Steps
ItersRangePoint
1
60.976161088869034
63.0522916487804
62.53325900880255
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08358
18358

end0.0ms (0%)

sample1.5s (28.7%)

Algorithm
1×intervals
Results
385.0ms7649×body128valid
265.0ms8959×pre128true
44.0ms959×body128nan
33.0ms351×body256valid
Compiler

Compiled 743 to 558 computations (24.9% saved)

Profiling

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