Details

Time bar (total: 3.0s)

analyze302.0ms (10.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample29.0ms (1%)

Algorithm
intervals
Results
13.0ms95×body1024valid
3.0ms111×body128valid
2.0ms26×body512valid
1.0msbody2048valid
1.0ms17×body256valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify99.0ms (3.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01011
11011

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
38.9b
Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.7b
(-.f64 (exp.f64 x) 1)

rewrite75.0ms (2.5%)

Algorithm
rewrite-expression-head
Error
38.9b
Rules
35×add-sqr-sqrt_binary64_1123
30×*-un-lft-identity_binary64_1101
21×times-frac_binary64_1107
15×add-cube-cbrt_binary64_1136
10×difference-of-squares_binary64_1070
associate-/r*_binary64_1045
difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053
add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137
add-exp-log_binary64_1139 cancel-sign-sub-inv_binary64_1067 associate-/l*_binary64_1046
pow1_binary64_1162 flip3--_binary64_1105 flip--_binary64_1076 associate-/r/_binary64_1047
diff-log_binary64_1193 sub-neg_binary64_1094 div-exp_binary64_1152 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098
Counts
2 → 63
Calls

2 calls:

8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 977 to 489 computations (49.9% saved)

series70.0ms (2.3%)

Error
0.2b
Counts
2 → 11
Calls

2 calls:

42.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
16.0ms
(-.f64 (exp.f64 x) 1)
Compiler

Compiled 237 to 172 computations (27.4% saved)

simplify66.0ms (2.2%)

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
055041173

prune59.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh000
Picked101
Done000
Total72375
Error
0b
Counts
75 → 3
Compiler

Compiled 1001 to 499 computations (50.1% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1/6 (*.f64 1/24 x))
0.1b
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
0.2b
(*.f64 x (+.f64 1/6 (*.f64 1/24 x)))
0.3b
(*.f64 1/24 x)

rewrite113.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_1123
13×pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101 associate-*r*_binary64_1041
associate-*l*_binary64_1042
add-log-exp_binary64_1140
pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134
associate-*r/_binary64_1043
unswap-sqr_binary64_1069 *-commutative_binary64_1032 flip3-+_binary64_1104 flip-+_binary64_1075
distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050
sum-log_binary64_1192 +-commutative_binary64_1031
Counts
4 → 74
Calls

4 calls:

7.0ms
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
6.0ms
(*.f64 x (+.f64 1/6 (*.f64 1/24 x)))
4.0ms
(*.f64 1/24 x)
3.0ms
(+.f64 1/6 (*.f64 1/24 x))
Compiler

Compiled 1923 to 1198 computations (37.7% saved)

series158.0ms (5.3%)

Error
0b
Counts
4 → 20
Calls

4 calls:

51.0ms
(*.f64 x (+.f64 1/6 (*.f64 1/24 x)))
39.0ms
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x (+.f64 1/6 (*.f64 1/24 x)))))
31.0ms
(+.f64 1/6 (*.f64 1/24 x))
19.0ms
(*.f64 1/24 x)
Compiler

Compiled 878 to 603 computations (31.3% saved)

simplify57.0ms (1.9%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049861168
149861168

prune94.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done000
Total94397
Error
0b
Counts
97 → 3
Compiler

Compiled 2087 to 1285 computations (38.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
0.3b
(*.f64 x 1/12)

rewrite42.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_1140
add-sqr-sqrt_binary64_1123
pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101
associate-*l*_binary64_1042 associate-*r*_binary64_1041 sum-log_binary64_1192
pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 unswap-sqr_binary64_1069 *-commutative_binary64_1032 flip3-+_binary64_1104 flip-+_binary64_1075 associate-+l+_binary64_1034 +-commutative_binary64_1031
Counts
2 → 31
Calls

2 calls:

9.0ms
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
4.0ms
(*.f64 x 1/12)
Compiler

Compiled 486 to 389 computations (20% saved)

series69.0ms (2.3%)

Error
0b
Counts
2 → 12
Calls

2 calls:

46.0ms
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
17.0ms
(*.f64 x 1/12)
Compiler

Compiled 210 to 181 computations (13.8% saved)

simplify63.0ms (2.1%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04926453
14926453

prune32.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh011
Picked011
Done011
Total43346
Error
0b
Counts
46 → 3
Compiler

Compiled 525 to 419 computations (20.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.9b
(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite65.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
29×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101
18×times-frac_binary64_1107
14×add-cube-cbrt_binary64_1136
10×difference-of-squares_binary64_1070
add-exp-log_binary64_1139 associate-/r*_binary64_1045
distribute-lft-out--_binary64_1053
add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137
pow1_binary64_1162 cancel-sign-sub-inv_binary64_1067 associate-/l*_binary64_1046
flip3--_binary64_1105 flip--_binary64_1076 div-exp_binary64_1152 associate-/r/_binary64_1047
diff-log_binary64_1193 sub-neg_binary64_1094 inv-pow_binary64_1186 pow-flip_binary64_1175 1-exp_binary64_1145 rec-exp_binary64_1151 cbrt-undiv_binary64_1135 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098
Counts
2 → 62
Calls

2 calls:

7.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))
Compiler

Compiled 947 to 597 computations (37% saved)

series70.0ms (2.3%)

Error
0b
Counts
2 → 11
Calls

2 calls:

42.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
22.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))
Compiler

Compiled 235 to 207 computations (11.9% saved)

simplify62.0ms (2.1%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050651096

prune52.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh000
Picked011
Done022
Total73376
Error
0b
Counts
76 → 3
Compiler

Compiled 902 to 575 computations (36.3% saved)

regimes130.0ms (4.4%)

Accuracy

Total 1.1b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 1375 to 993 computations (27.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02027
12027

end0.0ms (0%)

sample1.3s (41.9%)

Algorithm
intervals
Results
382.0ms2699×body1024valid
97.0ms1234×body512valid
70.0ms3178×body128valid
42.0ms265×body2048valid
34.0ms624×body256valid
0.0msbody2048invalid
Compiler

Compiled 397 to 294 computations (25.9% saved)

Profiling

Loading profile data...