Details

Time bar (total: 17.8s)

analyze762.0ms (4.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
3.1%96.8%0.1%6
15.6%81.2%3.2%7
23.4%72.6%4%8
32.4%56.2%11.4%9
36.3%51.7%12%10
40.7%42.9%16.4%11
42.6%40.3%17.1%12
44.5%35.7%19.8%13
45.5%34.4%20.1%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample158.0ms (0.9%)

Algorithm
intervals
Results
70.0ms55×body2048valid
49.0ms86×body1024valid
10.0ms42×body512valid
5.0msbody1024invalid
3.0ms55×body128valid
3.0ms18×body256valid
2.0msbody512invalid
1.0ms14×body128invalid
1.0msbody256invalid
1.0msbody2048invalid
0.0ms11×body128nan
Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify164.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0503622

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
47.8b
Counts
2 → 1
Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
2.5b
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
5.1b
(pow.f64 (+.f64 1 (/.f64 i n)) n)
11.9b
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite1.1s (6.1%)

Algorithm
rewrite-expression-head
Error
47.5b
Rules
584×times-frac_binary64_3153
486×add-sqr-sqrt_binary64_3169
367×*-un-lft-identity_binary64_3147
225×add-cube-cbrt_binary64_3182
174×associate-*r*_binary64_3087
168×difference-of-squares_binary64_3116
88×unpow-prod-down_binary64_3226
85×sqr-pow_binary64_3119
84×difference-of-sqr-1_binary64_3117
29×div-inv_binary64_3144
28×distribute-lft-out--_binary64_3099
19×add-exp-log_binary64_3185
18×add-cbrt-cube_binary64_3183
13×associate-/l*_binary64_3092 associate-/r*_binary64_3091
pow1_binary64_3208
div-exp_binary64_3198 add-log-exp_binary64_3186 cbrt-undiv_binary64_3181
pow-unpow_binary64_3224 cancel-sign-sub-inv_binary64_3113 prod-exp_binary64_3196 cbrt-unprod_binary64_3180 unswap-sqr_binary64_3115 associate-*l*_binary64_3088
flip3--_binary64_3151 associate-/l/_binary64_3094 flip--_binary64_3122 associate-/r/_binary64_3093
frac-2neg_binary64_3158 div-sub_binary64_3152 clear-num_binary64_3146 distribute-lft-out_binary64_3098 pow-pow_binary64_3219 pow-to-exp_binary64_3216 pow-exp_binary64_3215 diff-log_binary64_3239 sub-neg_binary64_3140 pow-prod-down_binary64_3218 associate-*r/_binary64_3089 *-commutative_binary64_3078
Counts
4 → 451
Calls

4 calls:

57.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
22.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
12.0ms
(pow.f64 (+.f64 1 (/.f64 i n)) n)
11.0ms
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
Compiler

Compiled 14661 to 7953 computations (45.8% saved)

series1.6s (8.9%)

Error
3.3b
Counts
4 → 58
Calls

4 calls:

559.0ms
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
473.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
266.0ms
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
141.0ms
(pow.f64 (+.f64 1 (/.f64 i n)) n)
Compiler

Compiled 6836 to 4876 computations (28.7% saved)

simplify182.0ms (1%)

Algorithm
egg-herbie
Counts
509 → 509
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0496818588
1496818588

prune1.1s (5.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New49910509
Fresh000
Picked101
Done000
Total50010510
Error
0.7b
Counts
510 → 10
Compiler

Compiled 17033 to 9042 computations (46.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 50/3 (*.f64 i i))
1.8b
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))) (+.f64 (*.f64 n 100) (*.f64 (/.f64 (*.f64 i i) n) 100/3))) (*.f64 -50 (+.f64 i (*.f64 i i))))
1.8b
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i))))
7.6b
(/.f64 (*.f64 i i) n)

rewrite269.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.6b
Rules
22×associate-*r/_binary64_3089
20×frac-add_binary64_3155
18×flip3-+_binary64_3150 flip-+_binary64_3121
16×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
13×add-log-exp_binary64_3186
12×add-sqr-sqrt_binary64_3169
11×pow1_binary64_3208
add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
associate-*l*_binary64_3088 sum-log_binary64_3238
prod-exp_binary64_3196 cbrt-unprod_binary64_3180
pow-prod-down_binary64_3218 associate-*r*_binary64_3087
times-frac_binary64_3153 associate-/r*_binary64_3091
div-exp_binary64_3198 cbrt-undiv_binary64_3181 unswap-sqr_binary64_3115 distribute-rgt-in_binary64_3097 distribute-lft-in_binary64_3096 *-commutative_binary64_3078 associate-+r+_binary64_3079
frac-2neg_binary64_3158 clear-num_binary64_3146 div-inv_binary64_3144 associate-/l*_binary64_3092 associate-+l+_binary64_3080 +-commutative_binary64_3077
Counts
4 → 90
Calls

4 calls:

14.0ms
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))) (+.f64 (*.f64 n 100) (*.f64 (/.f64 (*.f64 i i) n) 100/3))) (*.f64 -50 (+.f64 i (*.f64 i i))))
7.0ms
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i))))
6.0ms
(*.f64 50/3 (*.f64 i i))
6.0ms
(/.f64 (*.f64 i i) n)
Compiler

Compiled 5543 to 2778 computations (49.9% saved)

series588.0ms (3.3%)

Error
0.7b
Counts
4 → 34
Calls

4 calls:

306.0ms
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))) (+.f64 (*.f64 n 100) (*.f64 (/.f64 (*.f64 i i) n) 100/3))) (*.f64 -50 (+.f64 i (*.f64 i i))))
135.0ms
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i))))
77.0ms
(/.f64 (*.f64 i i) n)
29.0ms
(*.f64 50/3 (*.f64 i i))
Compiler

Compiled 2485 to 1744 computations (29.8% saved)

simplify90.0ms (0.5%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049644782
149644782

prune264.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1231124
Fresh099
Picked101
Done000
Total12410134
Error
0.6b
Counts
134 → 10
Compiler

Compiled 5938 to 3297 computations (44.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 i (/.f64 i n)) 100/3)
0.3b
(*.f64 50/3 (*.f64 i i))
1.8b
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))) (+.f64 (*.f64 n 100) (*.f64 (*.f64 i (/.f64 i n)) 100/3))) (*.f64 -50 (+.f64 i (*.f64 i i))))
1.8b
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i))))

rewrite260.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.6b
Rules
23×associate-*r/_binary64_3089
20×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 frac-add_binary64_3155
18×flip3-+_binary64_3150 flip-+_binary64_3121
16×pow1_binary64_3208
13×add-log-exp_binary64_3186
11×add-sqr-sqrt_binary64_3169
prod-exp_binary64_3196 cbrt-unprod_binary64_3180
add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
pow-prod-down_binary64_3218 associate-*l*_binary64_3088 associate-*r*_binary64_3087
sum-log_binary64_3238
*-commutative_binary64_3078
unswap-sqr_binary64_3115 distribute-rgt-in_binary64_3097 distribute-lft-in_binary64_3096 associate-+r+_binary64_3079
associate-+l+_binary64_3080 +-commutative_binary64_3077 div-exp_binary64_3198 cbrt-undiv_binary64_3181 associate-*l/_binary64_3090
Counts
4 → 90
Calls

4 calls:

15.0ms
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))) (+.f64 (*.f64 n 100) (*.f64 (*.f64 i (/.f64 i n)) 100/3))) (*.f64 -50 (+.f64 i (*.f64 i i))))
7.0ms
(*.f64 (*.f64 i (/.f64 i n)) 100/3)
7.0ms
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i))))
6.0ms
(*.f64 50/3 (*.f64 i i))
Compiler

Compiled 5568 to 2809 computations (49.6% saved)

series610.0ms (3.4%)

Error
0.6b
Counts
4 → 34
Calls

4 calls:

319.0ms
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i)))) (+.f64 (*.f64 n 100) (*.f64 (*.f64 i (/.f64 i n)) 100/3))) (*.f64 -50 (+.f64 i (*.f64 i i))))
146.0ms
(*.f64 n (+.f64 (*.f64 i 50) (*.f64 50/3 (*.f64 i i))))
80.0ms
(*.f64 (*.f64 i (/.f64 i n)) 100/3)
25.0ms
(*.f64 50/3 (*.f64 i i))
Compiler

Compiled 2485 to 1766 computations (28.9% saved)

simplify90.0ms (0.5%)

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049814858
149814858

prune266.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh099
Picked011
Done000
Total12311134
Error
0.6b
Counts
134 → 11
Compiler

Compiled 5940 to 3359 computations (43.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 100/3 (/.f64 i n))
0.5b
(*.f64 i 50/3)
1.7b
(*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100))
1.8b
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100)) (*.f64 i (-.f64 (*.f64 100/3 (/.f64 i n)) 50))) (*.f64 (*.f64 i i) -50))

rewrite179.0ms (1%)

Algorithm
rewrite-expression-head
Error
0.6b
Rules
25×add-sqr-sqrt_binary64_3169
19×associate-*r*_binary64_3087
16×add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
13×add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183
10×pow1_binary64_3208 times-frac_binary64_3153
add-log-exp_binary64_3186 associate-*l*_binary64_3088
prod-exp_binary64_3196 cbrt-unprod_binary64_3180 unswap-sqr_binary64_3115
sum-log_binary64_3238 pow-prod-down_binary64_3218 associate-*r/_binary64_3089 *-commutative_binary64_3078
flip3-+_binary64_3150 flip-+_binary64_3121
associate-+l+_binary64_3080 +-commutative_binary64_3077 distribute-rgt-in_binary64_3097 distribute-lft-in_binary64_3096 div-exp_binary64_3198 cbrt-undiv_binary64_3181 div-inv_binary64_3144
Counts
4 → 85
Calls

4 calls:

14.0ms
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100)) (*.f64 i (-.f64 (*.f64 100/3 (/.f64 i n)) 50))) (*.f64 (*.f64 i i) -50))
10.0ms
(*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100))
7.0ms
(*.f64 100/3 (/.f64 i n))
4.0ms
(*.f64 i 50/3)
Compiler

Compiled 3123 to 2012 computations (35.6% saved)

series612.0ms (3.4%)

Error
0.6b
Counts
4 → 37
Calls

4 calls:

313.0ms
(+.f64 (+.f64 (*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100)) (*.f64 i (-.f64 (*.f64 100/3 (/.f64 i n)) 50))) (*.f64 (*.f64 i i) -50))
168.0ms
(*.f64 n (+.f64 (*.f64 i (+.f64 50 (*.f64 i 50/3))) 100))
67.0ms
(*.f64 100/3 (/.f64 i n))
20.0ms
(*.f64 i 50/3)
Compiler

Compiled 2497 to 1859 computations (25.6% saved)

simplify71.0ms (0.4%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050332117

prune181.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh099
Picked011
Done011
Total12211133
Error
0.6b
Counts
133 → 11
Compiler

Compiled 3700 to 2395 computations (35.3% saved)

regimes1.4s (7.7%)

Accuracy

Total 11.3b remaining (96.1%)

Threshold costs 0b (0%)

Compiler

Compiled 14184 to 9864 computations (30.5% saved)

bsearch263.0ms (1.5%)

Steps
ItersRangePoint
11
2.383887171030795e+148
1.7744262739814978e+177
6.229817388872846e+176
10
5.9214692825505956e-05
253527162837.07596
0.48544185323136774
5
-1.1649397455202975e-08
-4.168341946863274e-09
-1.1481220983977971e-08
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
0533355
1533355

end0.0ms (0%)

sample7.6s (42.9%)

Algorithm
intervals
Results
2.1s1772×body2048valid
1.4s2648×body1024valid
284.0ms1164×body512valid
114.0ms1839×body128valid
102.0ms166×body1024invalid
81.0ms219×body512invalid
78.0ms550×body256valid
54.0ms27×body4096valid
42.0ms456×body128invalid
34.0ms158×body256invalid
22.0ms22×body2048invalid
13.0ms302×body128nan
Compiler

Compiled 3819 to 2645 computations (30.7% saved)

Profiling

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