Details

Time bar (total: 3.5s)

analyze204.0ms (5.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0502418
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%31.2%6.3%6
68.7%21.9%9.5%7
68.7%17.2%14.1%8
71.8%11.7%16.5%9
71.8%9%19.2%10
73.4%6%20.6%11
73.4%4.6%22%12
74.1%3.1%22.8%13
74.1%2.3%23.5%14
Compiler

Compiled 7 to 7 computations (0% saved)

sample33.0ms (0.9%)

Algorithm
intervals
Results
11.0ms44×body2048valid
7.0ms48×body1024valid
3.0ms119×body128valid
3.0ms36×body512valid
0.0msbody256valid
0.0msbody128invalid
Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify64.0ms (1.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
048759
148759

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.9b

Counts
2 → 1
Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(exp.f64 (*.f64 a x))
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1123
*-un-lft-identity_binary64_1101 add-log-exp_binary64_1140
add-cube-cbrt_binary64_1136 cancel-sign-sub-inv_binary64_1067
difference-of-squares_binary64_1070 add-exp-log_binary64_1139 pow1_binary64_1162 add-cbrt-cube_binary64_1137
diff-log_binary64_1193 rem-exp-log_binary64_1141 sub-neg_binary64_1094 difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053 flip--_binary64_1076 exp-prod_binary64_1153 flip3--_binary64_1105 exp-to-pow_binary64_1163
Counts
2 → 28
Calls

2 calls:

4.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
1.0ms
(exp.f64 (*.f64 a x))

series42.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

29.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
13.0ms
(exp.f64 (*.f64 a x))

simplify90.0ms (2.6%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04961377
14961377

prune33.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New29534
Fresh000
Picked011
Done000
Total29635

Merged error: 2.0b

Counts
35 → 6
Compiler

Compiled 433 to 216 computations (50.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite24.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_1123
20×*-un-lft-identity_binary64_1101
10×add-log-exp_binary64_1140
cancel-sign-sub-inv_binary64_1067
difference-of-squares_binary64_1070 add-cube-cbrt_binary64_1136
cbrt-prod_binary64_1132
add-exp-log_binary64_1139 pow1_binary64_1162 difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053 flip--_binary64_1076 flip3--_binary64_1105 add-cbrt-cube_binary64_1137
diff-log_binary64_1193 sub-neg_binary64_1094
cbrt-div_binary64_1133
pow1/3_binary64_1183
Counts
4 → 71
Calls

4 calls:

5.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
4.0ms
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))

series171.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

99.0ms
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
24.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
24.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
23.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

simplify102.0ms (2.9%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
049031178
149031178

prune110.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh134
Picked101
Done011
Total81889

Merged error: 2.0b

Counts
89 → 8
Compiler

Compiled 2513 to 1284 computations (48.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
2.8b
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite27.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_1123
18×*-un-lft-identity_binary64_1101
10×add-log-exp_binary64_1140
add-cube-cbrt_binary64_1136 cbrt-prod_binary64_1132
difference-of-squares_binary64_1070 cancel-sign-sub-inv_binary64_1067
add-exp-log_binary64_1139 pow1_binary64_1162 add-cbrt-cube_binary64_1137 difference-of-sqr--1_binary64_1072
difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053 flip--_binary64_1076 flip3--_binary64_1105
diff-log_binary64_1193 sub-neg_binary64_1094 cbrt-div_binary64_1133
pow1/3_binary64_1183 unpow-prod-down_binary64_1180 distribute-lft-out_binary64_1052 sum-log_binary64_1192 flip3-+_binary64_1104 +-commutative_binary64_1031 flip-+_binary64_1075 sqr-pow_binary64_1073 unpow2_binary64_1166
Counts
4 → 69
Calls

4 calls:

6.0ms
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
4.0ms
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))

series204.0ms (5.9%)

Counts
4 → 12
Calls

4 calls:

106.0ms
(cbrt.f64 (-.f64 (exp.f64 (*.f64 a x)) 1))
49.0ms
(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)
27.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
23.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

simplify79.0ms (2.3%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049201253
149201253

prune130.0ms (3.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New79281
Fresh066
Picked011
Done101
Total80989

Merged error: 2.0b

Counts
89 → 9
Compiler

Compiled 3262 to 1708 computations (47.6% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.8b
(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite27.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_1123
20×*-un-lft-identity_binary64_1101
12×add-log-exp_binary64_1140 cancel-sign-sub-inv_binary64_1067
difference-of-squares_binary64_1070 add-cube-cbrt_binary64_1136
diff-log_binary64_1193 add-exp-log_binary64_1139 pow1_binary64_1162 sub-neg_binary64_1094 difference-of-sqr-1_binary64_1071 distribute-lft-out--_binary64_1053 flip--_binary64_1076 flip3--_binary64_1105 add-cbrt-cube_binary64_1137
Counts
4 → 72
Calls

4 calls:

5.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
5.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
4.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

series94.0ms (2.7%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
24.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
24.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
22.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)

simplify81.0ms (2.3%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049291120
149291120

prune153.0ms (4.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh077
Picked011
Done011
Total84993

Merged error: 2.0b

Counts
93 → 9
Compiler

Compiled 3952 to 2094 computations (47% saved)

regimes298.0ms (8.6%)

Compiler

Compiled 2875 to 1928 computations (32.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04992
14992

end0.0ms (0%)

sample1.4s (41.6%)

Algorithm
intervals
Results
389.0ms1431×body2048valid
247.0ms1714×body1024valid
95.0ms1156×body512valid
78.0ms3089×body128valid
33.0ms610×body256valid
4.0ms143×body128invalid
Compiler

Compiled 487 to 324 computations (33.5% saved)

Profiling

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