Details

Time bar (total: 10.0s)

analyze5.0ms (0%)

Algorithm
search
Search
TrueOtherFalseIter
0%49.7%50.3%0
0%49.7%50.3%1
0%49.7%50.3%2
24.8%24.8%50.3%3
37.3%12.4%50.3%4
43.5%6.2%50.3%5
46.6%3.1%50.3%6
48.1%1.6%50.3%7
48.9%0.8%50.3%8
49.3%0.4%50.3%9
49.5%0.2%50.3%10
49.6%0.1%50.3%11
49.6%0%50.3%12
49.7%0%50.3%13
49.7%0%50.3%14
Compiler

Compiled 15 to 12 computations (20% saved)

sample201.0ms (2%)

Algorithm
intervals
Results
158.0ms144×body2048valid
24.0ms61×body1024valid
5.0ms256×pre128true
4.0ms25×body512valid
2.0msbody4096valid
1.0ms18×body256valid
0.0msbody128valid
Compiler

Compiled 23 to 20 computations (13% saved)

simplify173.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
07212
17212

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 60.2b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (tan.f64 x))
1.6b
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))

rewrite26.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt_binary64_1109
28×*-un-lft-identity_binary64_1088
27×times-frac_binary64_1094
12×add-cube-cbrt_binary64_1120
difference-of-squares_binary64_1057
distribute-lft-out--_binary64_1042
add-exp-log_binary64_1123
div-inv_binary64_1085
add-cbrt-cube_binary64_1121 add-log-exp_binary64_1124
associate-/r*_binary64_1034 pow1_binary64_1146 associate-/l*_binary64_1035
div-exp_binary64_1136
clear-num_binary64_1087 frac-2neg_binary64_1099 inv-pow_binary64_1170 tan-quot_binary64_1244 flip3--_binary64_1092 sub-neg_binary64_1081 rec-exp_binary64_1135 frac-sub_binary64_1097 flip--_binary64_1063 associate-/r/_binary64_1036 1-exp_binary64_1129 diff-log_binary64_1177 cbrt-undiv_binary64_1119 pow-flip_binary64_1159
Counts
2 → 60
Calls

2 calls:

17.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
4.0ms
(/.f64 1 (tan.f64 x))

series265.0ms (2.7%)

Counts
2 → 6
Calls

2 calls:

162.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (tan.f64 x)))
102.0ms
(/.f64 1 (tan.f64 x))

simplify65.0ms (0.6%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049381005
149381005

prune63.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New65166
Fresh000
Picked101
Done000
Total66167

Merged error: 0.4b

Counts
67 → 1
Compiler

Compiled 928 to 583 computations (37.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 2/945 (pow.f64 x 5))
0.1b
(*.f64 1/45 (pow.f64 x 3))
0.3b
(*.f64 x 1/3)

rewrite21.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64_1109
22×associate-*r*_binary64_1030
15×add-exp-log_binary64_1123
12×*-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
add-cbrt-cube_binary64_1121 associate-*l*_binary64_1031
unpow-prod-down_binary64_1164 unswap-sqr_binary64_1056
prod-exp_binary64_1134
pow1_binary64_1146
cube-prod_binary64_1113 sqr-pow_binary64_1060
*-commutative_binary64_1021 cbrt-unprod_binary64_1118 add-log-exp_binary64_1124
pow-exp_binary64_1153 pow-to-exp_binary64_1154
unpow3_binary64_1151 cube-mult_binary64_1115 pow-prod-down_binary64_1156
Counts
3 → 74
Calls

3 calls:

7.0ms
(*.f64 1/45 (pow.f64 x 3))
6.0ms
(*.f64 2/945 (pow.f64 x 5))
4.0ms
(*.f64 x 1/3)

series141.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

65.0ms
(*.f64 2/945 (pow.f64 x 5))
50.0ms
(*.f64 1/45 (pow.f64 x 3))
26.0ms
(*.f64 x 1/3)

simplify88.0ms (0.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04902712
14902712

prune101.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh000
Picked011
Done000
Total79584

Merged error: 0.2b

Counts
84 → 5
Compiler

Compiled 1654 to 1310 computations (20.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
0.7b
(cbrt.f64 (*.f64 x 1/3))
0.7b
(cbrt.f64 (*.f64 x 1/3))
0.7b
(cbrt.f64 (*.f64 x 1/3))

rewrite17.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64_1146
10×add-sqr-sqrt_binary64_1109
pow1/3_binary64_1167
*-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
cbrt-prod_binary64_1116
add-exp-log_binary64_1123
swap-sqr_binary64_1055 associate-*r*_binary64_1030 add-cbrt-cube_binary64_1121 associate-*l*_binary64_1031 add-log-exp_binary64_1124
pow-prod-down_binary64_1156 pow-sqr_binary64_1061 pow-prod-up_binary64_1155
*-commutative_binary64_1021 pow-plus_binary64_1148 unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 pow2_binary64_1166 prod-exp_binary64_1134
Counts
4 → 58
Calls

4 calls:

5.0ms
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
2.0ms
(cbrt.f64 (*.f64 x 1/3))
2.0ms
(cbrt.f64 (*.f64 x 1/3))
2.0ms
(cbrt.f64 (*.f64 x 1/3))

series777.0ms (7.8%)

Counts
4 → 12
Calls

4 calls:

224.0ms
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
194.0ms
(cbrt.f64 (*.f64 x 1/3))
189.0ms
(cbrt.f64 (*.f64 x 1/3))
170.0ms
(cbrt.f64 (*.f64 x 1/3))

simplify66.0ms (0.7%)

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04987556
14987556

prune124.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New64670
Fresh033
Picked011
Done011
Total641175

Merged error: 0.2b

Counts
75 → 11
Compiler

Compiled 2154 to 1755 computations (18.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
0.6b
(cbrt.f64 x)
0.7b
(cbrt.f64 (*.f64 x 1/3))
0.7b
(cbrt.f64 (*.f64 x 1/3))

rewrite17.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_1109 pow1_binary64_1146
pow1/3_binary64_1167 cbrt-prod_binary64_1116 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
add-exp-log_binary64_1123
swap-sqr_binary64_1055 associate-*r*_binary64_1030 add-cbrt-cube_binary64_1121 associate-*l*_binary64_1031 add-log-exp_binary64_1124
pow-prod-down_binary64_1156 pow-sqr_binary64_1061 pow-prod-up_binary64_1155
*-commutative_binary64_1021 pow-plus_binary64_1148 unswap-sqr_binary64_1056 cbrt-unprod_binary64_1118 pow2_binary64_1166 prod-exp_binary64_1134
Counts
4 → 60
Calls

4 calls:

5.0ms
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
3.0ms
(cbrt.f64 (*.f64 x 1/3))
2.0ms
(cbrt.f64 (*.f64 x 1/3))
1.0ms
(cbrt.f64 x)

series729.0ms (7.3%)

Counts
4 → 12
Calls

4 calls:

224.0ms
(*.f64 (cbrt.f64 (*.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
188.0ms
(cbrt.f64 (*.f64 x 1/3))
171.0ms
(cbrt.f64 (*.f64 x 1/3))
146.0ms
(cbrt.f64 x)

simplify67.0ms (0.7%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05009554

prune113.0ms (1.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New71172
Fresh088
Picked011
Done022
Total711283

Merged error: 0.2b

Counts
83 → 12
Compiler

Compiled 2055 to 1607 computations (21.8% saved)

regimes34.0ms (0.3%)

Compiler

Compiled 308 to 259 computations (15.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01922
11922

end0.0ms (0%)

sample6.8s (68.5%)

Algorithm
intervals
Results
5.1s4025×body2048valid
709.0ms2044×body1024valid
141.0ms8000×pre128true
135.0ms227×body4096valid
128.0ms984×body512valid
46.0ms507×body256valid
10.0ms213×body128valid
Compiler

Compiled 360 to 302 computations (16.1% saved)

Profiling

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