Details

Time bar (total: 6.4s)

analyze265.0ms (4.1%)

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)

sample35.0ms (0.5%)

Algorithm
1×intervals
Results
15.0ms248×body128valid
8.0ms279×pre128true
1.0ms23×body128nan
1.0ms8×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify466.0ms (7.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (302.0ms)

IterNodesCost
0170624
1170624

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 27.9b

Counts
2 → 1
Compiler

Compiled 65 to 53 computations (18.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
27.8b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.6%)

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))

series447.0ms (7%)

Counts
4 → 12
Calls

4 calls:

219.0ms
(/.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))
28.0ms
(*.f64 (*.f64 3 a) c)

simplify72.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049221823
149221823

prune531.0ms (8.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 8.8b

Counts
90 → 14
Compiler

Compiled 11334 to 7808 computations (31.1% 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 (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 8.8b

Counts
14 → 14
Compiler

Compiled 430 to 301 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.4b
(/.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))
8.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series128.0ms (2%)

Counts
3 → 9
Calls

3 calls:

50.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
39.0ms
(/.f64 (*.f64 a c) b)
38.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify67.0ms (1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05036877

prune765.0ms (12%)

Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New741387
Fresh01212
Picked101
Done011
Total7526101

Merged error: 8.7b

Counts
101 → 26
Compiler

Compiled 15264 to 10858 computations (28.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite62.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
77×add-exp-log_binary64_2181 add-cbrt-cube_binary64_2179
36×add-sqr-sqrt_binary64_2165
33×times-frac_binary64_2149
27×cbrt-undiv_binary64_2177 cbrt-unprod_binary64_2176 prod-exp_binary64_2192 div-exp_binary64_2194
26×add-cube-cbrt_binary64_2178 *-un-lft-identity_binary64_2143
25×associate-*l*_binary64_2084
19×sqrt-prod_binary64_2159
13×associate-*r*_binary64_2083
8×pow1_binary64_2204
7×associate-/r*_binary64_2087
4×add-log-exp_binary64_2182 div-inv_binary64_2140 unswap-sqr_binary64_2111
2×clear-num_binary64_2142 associate-/l*_binary64_2088 pow-prod-down_binary64_2214 associate-*l/_binary64_2086 associate-*r/_binary64_2085 *-commutative_binary64_2074 frac-2neg_binary64_2154 associate-/l/_binary64_2090
Counts
4 → 138
Calls

4 calls:

15.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 (/.f64 a (sqrt.f64 b)) c) (sqrt.f64 b))) (*.f64 3 a))
13.0ms
(*.f64 -3/2 (/.f64 (*.f64 (/.f64 a (sqrt.f64 b)) c) (sqrt.f64 b)))
10.0ms
(*.f64 (/.f64 a (sqrt.f64 b)) c)
9.0ms
(/.f64 (*.f64 (/.f64 a (sqrt.f64 b)) c) (sqrt.f64 b))

series385.0ms (6%)

Counts
4 → 12
Calls

4 calls:

104.0ms
(*.f64 -3/2 (/.f64 (*.f64 (/.f64 a (sqrt.f64 b)) c) (sqrt.f64 b)))
99.0ms
(*.f64 (/.f64 a (sqrt.f64 b)) c)
95.0ms
(/.f64 (*.f64 (/.f64 a (sqrt.f64 b)) c) (sqrt.f64 b))
87.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 (/.f64 a (sqrt.f64 b)) c) (sqrt.f64 b))) (*.f64 3 a))

simplify82.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049582052
149582052

prune923.0ms (14.4%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New13614150
Fresh51924
Picked101
Done011
Total14234176

Merged error: 8.7b

Counts
176 → 34
Compiler

Compiled 19022 to 12664 computations (33.4% saved)

regimes368.0ms (5.7%)

Compiler

Compiled 3388 to 2388 computations (29.5% saved)

bsearch2.0ms (0%)

Steps
ItersRangePoint
0
117.86055399250527
118.39414529717548
118.12734964484038
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08358
18358

end0.0ms (0%)

sample1.7s (26%)

Algorithm
1×intervals
Results
385.0ms7696×body128valid
283.0ms8947×pre128true
46.0ms947×body128nan
29.0ms304×body256valid
Compiler

Compiled 913 to 642 computations (29.7% saved)

Profiling

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