Details

Time bar (total: 15.7s)

analyze273.0ms (1.7%)

Algorithm
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)

sample38.0ms (0.2%)

Algorithm
intervals
Results
12.0ms246×body128valid
8.0ms283×pre128true
1.0ms27×body128nan
1.0ms10×body256valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify369.0ms (2.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (277.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
29.9b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(-.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))
29.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite146.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
27.7b
Rules
20×add-sqr-sqrt_binary64_2146
14×add-exp-log_binary64_2162 add-cbrt-cube_binary64_2160 *-un-lft-identity_binary64_2124
pow1_binary64_2185
add-log-exp_binary64_2163 add-cube-cbrt_binary64_2159
difference-of-squares_binary64_2093 times-frac_binary64_2130 associate-/l*_binary64_2069
cancel-sign-sub-inv_binary64_2090 prod-exp_binary64_2173 cbrt-unprod_binary64_2157
flip3--_binary64_2128 flip--_binary64_2099 sqrt-prod_binary64_2140 distribute-lft-out--_binary64_2076 pow-prod-down_binary64_2195 associate-*r*_binary64_2064
diff-log_binary64_2216 sub-neg_binary64_2117 div-exp_binary64_2175 cbrt-undiv_binary64_2158 associate-/l/_binary64_2071
frac-2neg_binary64_2135 div-sub_binary64_2129 clear-num_binary64_2123 div-inv_binary64_2121 associate-/r*_binary64_2068 associate-*l*_binary64_2065 *-commutative_binary64_2055
Counts
4 → 77
Calls

4 calls:

12.0ms
(/.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)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series642.0ms (4.1%)

Error
0.8b
Counts
4 → 60
Calls

4 calls:

203.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
163.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
151.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
57.0ms
(*.f64 (*.f64 3 a) c)
Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify58.0ms (0.4%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
052682923

prune170.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New12215137
Fresh000
Picked101
Done000
Total12315138
Error
0.6b
Counts
138 → 15
Compiler

Compiled 3366 to 1894 computations (43.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 a a) (pow.f64 c 3))
0.3b
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.3b
(*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)))
0.3b
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite611.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0.5b
Rules
167×add-exp-log_binary64_2162
82×prod-exp_binary64_2173
60×div-exp_binary64_2175
46×pow-to-exp_binary64_2193 pow-exp_binary64_2192
37×add-cbrt-cube_binary64_2160
28×associate-*r*_binary64_2064
26×times-frac_binary64_2130
25×add-sqr-sqrt_binary64_2146
20×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
19×unpow-prod-down_binary64_2203
14×cbrt-unprod_binary64_2157 associate-/r*_binary64_2068
cbrt-undiv_binary64_2158
sqr-pow_binary64_2096 cube-prod_binary64_2152
pow1_binary64_2185
unswap-sqr_binary64_2092
add-log-exp_binary64_2163 associate-*l*_binary64_2065
div-inv_binary64_2121
frac-2neg_binary64_2135 clear-num_binary64_2123 associate-/l*_binary64_2069 unpow3_binary64_2190 cube-mult_binary64_2154 *-commutative_binary64_2055
pow-prod-down_binary64_2195 associate-*r/_binary64_2066
Counts
4 → 183
Calls

4 calls:

13.0ms
(*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)))
10.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
9.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
Compiler

Compiled 9476 to 5922 computations (37.5% saved)

series1.0s (6.4%)

Error
0.6b
Counts
4 → 33
Calls

4 calls:

317.0ms
(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
279.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
237.0ms
(*.f64 3/8 (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3)))
107.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
Compiler

Compiled 4455 to 3346 computations (24.9% saved)

simplify93.0ms (0.6%)

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050353509

prune603.0ms (3.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New2142216
Fresh11314
Picked011
Done000
Total21516231
Error
0.5b
Counts
231 → 16
Compiler

Compiled 10900 to 6915 computations (36.6% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b
(*.f64 (*.f64 a c) (*.f64 a c))
0.7b
(pow.f64 (*.f64 a c) 3)

rewrite541.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0.4b
Rules
46×pow1_binary64_2185
36×add-exp-log_binary64_2162
26×add-cbrt-cube_binary64_2160
23×add-sqr-sqrt_binary64_2146
19×pow-prod-down_binary64_2195 prod-exp_binary64_2173
13×unpow-prod-down_binary64_2203
11×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124 cbrt-unprod_binary64_2157
10×associate-*r/_binary64_2066
sqr-pow_binary64_2096 unswap-sqr_binary64_2092
pow-exp_binary64_2192 associate-*l*_binary64_2065 associate-*r*_binary64_2064
pow-to-exp_binary64_2193 associate-/l/_binary64_2071
frac-sub_binary64_2133
add-log-exp_binary64_2163 pow-prod-up_binary64_2194 pow-sqr_binary64_2097 frac-add_binary64_2132
pow-unpow_binary64_2201 times-frac_binary64_2130 associate-/l*_binary64_2069
pow-pow_binary64_2196 rem-cube-cbrt_binary64_2147 pow-plus_binary64_2187 *-commutative_binary64_2055 div-exp_binary64_2175 cbrt-undiv_binary64_2158 flip3-+_binary64_2127 flip-+_binary64_2098
unpow3_binary64_2190 cube-mult_binary64_2154 cube-prod_binary64_2152 pow2_binary64_2205 swap-sqr_binary64_2091 frac-2neg_binary64_2135 div-sub_binary64_2129 clear-num_binary64_2123 div-inv_binary64_2121 flip3--_binary64_2128 flip--_binary64_2099 associate-/r*_binary64_2068
Counts
4 → 127
Calls

4 calls:

29.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
8.0ms
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms
(*.f64 (*.f64 a c) (*.f64 a c))
4.0ms
(pow.f64 (*.f64 a c) 3)
Compiler

Compiled 8846 to 5294 computations (40.2% saved)

series882.0ms (5.6%)

Error
0.5b
Counts
4 → 39
Calls

4 calls:

314.0ms
(/.f64 (-.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (+.f64 (+.f64 (*.f64 9/8 (/.f64 (*.f64 (*.f64 a c) (*.f64 a c)) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
305.0ms
(pow.f64 (*.f64 a c) 3)
117.0ms
(*.f64 (pow.f64 a 4) (pow.f64 c 4))
85.0ms
(*.f64 (*.f64 a c) (*.f64 a c))
Compiler

Compiled 3868 to 2847 computations (26.4% saved)

simplify93.0ms (0.6%)

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049334010
149334010

prune562.0ms (3.6%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1579166
Fresh11314
Picked101
Done011
Total15923182
Error
0.4b
Counts
182 → 23
Compiler

Compiled 10940 to 6720 computations (38.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
0.5b
(pow.f64 (*.f64 a c) 2)
0.7b
(pow.f64 (*.f64 a c) 3)
0.9b
(pow.f64 (*.f64 a c) 4)

rewrite295.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.4b
Rules
18×add-exp-log_binary64_2162
13×pow1_binary64_2185
12×add-cbrt-cube_binary64_2160
add-cube-cbrt_binary64_2159 pow-unpow_binary64_2201 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
pow-pow_binary64_2196 pow-exp_binary64_2192
associate-*r/_binary64_2066 associate-/l/_binary64_2071
prod-exp_binary64_2173 add-log-exp_binary64_2163 frac-add_binary64_2132
unpow-prod-down_binary64_2203 pow-prod-down_binary64_2195 pow-to-exp_binary64_2193 sqr-pow_binary64_2096 times-frac_binary64_2130 associate-/l*_binary64_2069
rem-cube-cbrt_binary64_2147 cbrt-unprod_binary64_2157 div-exp_binary64_2175 cbrt-undiv_binary64_2158 flip3-+_binary64_2127 flip-+_binary64_2098
unpow3_binary64_2190 cube-mult_binary64_2154 cube-prod_binary64_2152 unpow2_binary64_2189 frac-2neg_binary64_2135 clear-num_binary64_2123 div-inv_binary64_2121 associate-/r*_binary64_2068
Counts
4 → 83
Calls

4 calls:

21.0ms
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
4.0ms
(pow.f64 (*.f64 a c) 3)
4.0ms
(pow.f64 (*.f64 a c) 4)
4.0ms
(pow.f64 (*.f64 a c) 2)
Compiler

Compiled 5386 to 3315 computations (38.5% saved)

series1.1s (6.7%)

Error
0.4b
Counts
4 → 35
Calls

4 calls:

723.0ms
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 27/16 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)))) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
102.0ms
(pow.f64 (*.f64 a c) 4)
92.0ms
(pow.f64 (*.f64 a c) 3)
69.0ms
(pow.f64 (*.f64 a c) 2)
Compiler

Compiled 4205 to 3016 computations (28.3% saved)

simplify57.0ms (0.4%)

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
051112870

prune316.0ms (2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh02121
Picked011
Done011
Total11823141
Error
0.4b
Counts
141 → 23
Compiler

Compiled 6426 to 3852 computations (40.1% saved)

regimes2.0s (12.7%)

Accuracy

Total 5.4b remaining (89.9%)

Threshold costs 0b (0%)

Compiler

Compiled 35389 to 23959 computations (32.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
024169
124169

end0.0ms (0%)

sample5.8s (36.8%)

Algorithm
intervals
Results
420.0ms7692×body128valid
277.0ms9046×pre128true
50.0ms1046×body128nan
31.0ms308×body256valid
Compiler

Compiled 6952 to 4711 computations (32.2% saved)

Profiling

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