Details

Time bar (total: 19.7s)

analyze345.0ms (1.8%)

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)

sample42.0ms (0.2%)

Algorithm
intervals
Results
8.0ms88×body256valid
8.0ms168×body128valid
8.0ms279×pre128true
1.0ms23×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify491.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (379.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
42.4b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b
(-.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))
36.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite195.0ms (1%)

Algorithm
rewrite-expression-head
Error
39.5b
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:

14.0ms
(/.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))
Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series757.0ms (3.8%)

Error
0.5b
Counts
4 → 60
Calls

4 calls:

245.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
179.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
178.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
65.0ms
(*.f64 (*.f64 3 a) c)
Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify67.0ms (0.3%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052682923

prune202.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New12710137
Fresh000
Picked101
Done000
Total12810138
Error
0.4b
Counts
138 → 10
Compiler

Compiled 3236 to 1804 computations (44.3% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b
(/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))
0.4b
(*.f64 (*.f64 a a) (pow.f64 c 3))

rewrite720.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0.4b
Rules
109×add-exp-log_binary64_2162
54×prod-exp_binary64_2173
42×add-sqr-sqrt_binary64_2146
30×div-exp_binary64_2175
29×add-cbrt-cube_binary64_2160 unpow-prod-down_binary64_2203
24×pow-to-exp_binary64_2193 pow-exp_binary64_2192
22×add-cube-cbrt_binary64_2159 *-un-lft-identity_binary64_2124
19×associate-*r*_binary64_2064 times-frac_binary64_2130 associate-/r*_binary64_2068
16×unswap-sqr_binary64_2092 cube-prod_binary64_2152
15×sqr-pow_binary64_2096
13×associate-*l*_binary64_2065
10×cbrt-unprod_binary64_2157
cbrt-undiv_binary64_2158
pow1_binary64_2185 add-log-exp_binary64_2163 unpow3_binary64_2190 cube-mult_binary64_2154
*-commutative_binary64_2055 frac-2neg_binary64_2135 clear-num_binary64_2123 div-inv_binary64_2121 associate-/l*_binary64_2069
Counts
4 → 178
Calls

4 calls:

14.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
12.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
10.0ms
(/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))
9.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series964.0ms (4.9%)

Error
0.4b
Counts
4 → 30
Calls

4 calls:

377.0ms
(/.f64 (*.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
263.0ms
(/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b 3))
137.0ms
(*.f64 (pow.f64 a 3) (pow.f64 c 4))
122.0ms
(*.f64 (*.f64 a a) (pow.f64 c 3))
Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify126.0ms (0.6%)

Algorithm
egg-herbie
Counts
208 → 208
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
050933032

prune773.0ms (3.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2080208
Fresh099
Picked011
Done000
Total20810218
Error
0.4b
Counts
218 → 10
Compiler

Compiled 10360 to 6442 computations (37.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))
0.4b
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b
(*.f64 (*.f64 a c) (*.f64 a c))
0.7b
(pow.f64 (*.f64 a c) 3)

rewrite962.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
59×times-frac_binary64_2130
46×pow1_binary64_2185
44×add-exp-log_binary64_2162
36×unpow-prod-down_binary64_2203
33×add-cube-cbrt_binary64_2159 add-sqr-sqrt_binary64_2146 *-un-lft-identity_binary64_2124
26×add-cbrt-cube_binary64_2160
18×pow-prod-down_binary64_2195 sqr-pow_binary64_2096
14×div-exp_binary64_2175
13×prod-exp_binary64_2173
12×pow-exp_binary64_2192
11×associate-/l*_binary64_2069
10×cbrt-unprod_binary64_2157 associate-*r/_binary64_2066
unpow3_binary64_2190 cube-mult_binary64_2154 cube-prod_binary64_2152
pow-to-exp_binary64_2193 associate-/r*_binary64_2068
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 cbrt-undiv_binary64_2158
pow-pow_binary64_2196 rem-cube-cbrt_binary64_2147 pow-plus_binary64_2187 frac-2neg_binary64_2135 clear-num_binary64_2123 div-inv_binary64_2121 flip3-+_binary64_2127 flip-+_binary64_2098
pow2_binary64_2205 swap-sqr_binary64_2091 associate-*l*_binary64_2065 associate-*r*_binary64_2064 *-commutative_binary64_2055 div-sub_binary64_2129 flip3--_binary64_2128 flip--_binary64_2099
Counts
4 → 179
Calls

4 calls:

35.0ms
(/.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))
13.0ms
(*.f64 (*.f64 a c) (*.f64 a c))
9.0ms
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
8.0ms
(pow.f64 (*.f64 a c) 3)
Compiler

Compiled 12142 to 7222 computations (40.5% saved)

series1.1s (5.3%)

Error
0.4b
Counts
4 → 42
Calls

4 calls:

375.0ms
(/.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))
367.0ms
(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
112.0ms
(pow.f64 (*.f64 a c) 3)
104.0ms
(*.f64 (*.f64 a c) (*.f64 a c))
Compiler

Compiled 4381 to 3234 computations (26.2% saved)

simplify159.0ms (0.8%)

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049495567
149495567

prune1.0s (5.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New2147221
Fresh178
Picked101
Done011
Total21615231
Error
0.3b
Counts
231 → 15
Compiler

Compiled 13668 to 8368 computations (38.8% saved)

localize41.0ms (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 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16)) (*.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)

rewrite379.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.3b
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-/l/_binary64_2071
prod-exp_binary64_2173 add-log-exp_binary64_2163 associate-*r/_binary64_2066 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-*l/_binary64_2067 associate-/r*_binary64_2068
Counts
4 → 83
Calls

4 calls:

24.0ms
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16)) (*.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)

series1.4s (7.2%)

Error
0.3b
Counts
4 → 35
Calls

4 calls:

962.0ms
(/.f64 (+.f64 (+.f64 (*.f64 9/8 (/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))) (*.f64 (/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5)) 27/16)) (*.f64 405/128 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7)))) (*.f64 a 3))
145.0ms
(pow.f64 (*.f64 a c) 3)
128.0ms
(pow.f64 (*.f64 a c) 4)
89.0ms
(pow.f64 (*.f64 a c) 2)
Compiler

Compiled 4205 to 3016 computations (28.3% saved)

simplify85.0ms (0.4%)

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051442873

prune367.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh01313
Picked101
Done011
Total11815133
Error
0.3b
Counts
133 → 15
Compiler

Compiled 6428 to 3854 computations (40% saved)

regimes2.3s (11.6%)

Accuracy

Total 2.6b remaining (89.1%)

Threshold costs 0b (0%)

Compiler

Compiled 30768 to 20902 computations (32.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
024169
124169

end0.0ms (0%)

sample7.1s (36.3%)

Algorithm
intervals
Results
350.0ms2927×body256valid
317.0ms8861×pre128true
303.0ms5066×body128valid
50.0ms861×body128nan
1.0msbody512valid
Compiler

Compiled 6028 to 4099 computations (32% saved)

Profiling

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