Details

Time bar (total: 4.1s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample28.0ms (0.7%)

Algorithm
1×intervals
Results
10.0ms256×pre128true
6.0ms256×body128valid
Compiler

Compiled 31 to 31 computations (0% saved)

simplify94.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04310
14310

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize199.0ms (4.9%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 b c) d)
0.0b
(*.f64 a (+.f64 (+.f64 b c) d))

rewrite43.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
14×*-un-lft-identity_binary64_1101
7×add-log-exp_binary64_1140
6×add-sqr-sqrt_binary64_1123 distribute-lft-out_binary64_1052
5×associate-*r*_binary64_1041
4×pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136
3×associate-*l*_binary64_1042 sum-log_binary64_1192
2×flip3-+_binary64_1104 associate-*r/_binary64_1043 flip-+_binary64_1075
1×pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 unswap-sqr_binary64_1069 distribute-rgt-in_binary64_1051 distribute-lft-in_binary64_1050 *-commutative_binary64_1032 associate-+l+_binary64_1034 +-commutative_binary64_1031
Counts
2 → 39
Calls

2 calls:

9.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms
(+.f64 (+.f64 b c) d)
Compiler

Compiled 530 to 133 computations (74.9% saved)

series207.0ms (5.1%)

Error
0.0b
Counts
2 → 39
Calls

2 calls:

131.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
58.0ms
(+.f64 (+.f64 b c) d)
Compiler

Compiled 681 to 444 computations (34.8% saved)

simplify73.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04980703
14980703

prune45.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New73578
Fresh000
Picked101
Done000
Total74579
Error
0b
Counts
79 → 5
Compiler

Compiled 758 to 165 computations (78.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 a (+.f64 b c))
0.0b
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))

rewrite39.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
6×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101
4×add-log-exp_binary64_1140 pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 associate-*r*_binary64_1041
3×associate-*l*_binary64_1042
2×flip3-+_binary64_1104 flip-+_binary64_1075 distribute-lft-out_binary64_1052 distribute-rgt-in_binary64_1051 associate-+l+_binary64_1034 distribute-lft-in_binary64_1050 associate-*r/_binary64_1043
1×sum-log_binary64_1192 +-commutative_binary64_1031 pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 unswap-sqr_binary64_1069 *-commutative_binary64_1032
Counts
2 → 37
Calls

2 calls:

6.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
6.0ms
(*.f64 a (+.f64 b c))
Compiler

Compiled 590 to 145 computations (75.4% saved)

series285.0ms (7%)

Error
0b
Counts
2 → 36
Calls

2 calls:

175.0ms
(+.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))
94.0ms
(*.f64 a (+.f64 b c))
Compiler

Compiled 801 to 473 computations (40.9% saved)

simplify55.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04951681
14951681

prune44.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73073
Fresh044
Picked011
Done000
Total73578
Error
0b
Counts
78 → 5
Compiler

Compiled 806 to 173 computations (78.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b
(sqrt.f64 (+.f64 d (+.f64 b c)))
0.3b
(*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c))))
0.3b
(*.f64 (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite118.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
31×*-un-lft-identity_binary64_1101
21×sqrt-prod_binary64_1117
18×sqrt-div_binary64_1118
17×add-sqr-sqrt_binary64_1123
16×associate-*r*_binary64_1041
13×pow1_binary64_1162
12×distribute-lft-out_binary64_1052
11×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136
10×associate-*r/_binary64_1043
9×flip3-+_binary64_1104 flip-+_binary64_1075
4×pow-prod-down_binary64_1172 prod-exp_binary64_1150 add-log-exp_binary64_1140 cbrt-unprod_binary64_1134 frac-times_binary64_1111 associate-*l*_binary64_1042
2×associate-*l/_binary64_1044 *-commutative_binary64_1032 unswap-sqr_binary64_1069 pow1/2_binary64_1181 sqrt-pow1_binary64_1119 rem-sqrt-square_binary64_1114
Counts
4 → 91
Calls

4 calls:

17.0ms
(*.f64 (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
12.0ms
(*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c))))
5.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))
5.0ms
(sqrt.f64 (+.f64 d (+.f64 b c)))
Compiler

Compiled 2282 to 370 computations (83.8% saved)

series533.0ms (13.2%)

Error
0b
Counts
4 → 75
Calls

4 calls:

164.0ms
(*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c))))
137.0ms
(*.f64 (*.f64 a (sqrt.f64 (+.f64 d (+.f64 b c)))) (sqrt.f64 (+.f64 (+.f64 b c) d)))
90.0ms
(sqrt.f64 (+.f64 d (+.f64 b c)))
90.0ms
(sqrt.f64 (+.f64 (+.f64 b c) d))
Compiler

Compiled 3705 to 2236 computations (39.6% saved)

simplify53.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050602902

prune118.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1660166
Fresh033
Picked011
Done011
Total1665171
Error
0b
Counts
171 → 5
Compiler

Compiled 3293 to 765 computations (76.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 a)
0.5b
(cbrt.f64 a)
0.5b
(cbrt.f64 a)
0.6b
(*.f64 (cbrt.f64 a) (cbrt.f64 a))

rewrite59.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_1132
23×add-sqr-sqrt_binary64_1123
15×add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101
11×pow1_binary64_1162
9×pow1/3_binary64_1183
6×add-exp-log_binary64_1139 swap-sqr_binary64_1068 associate-*l*_binary64_1042 associate-*r*_binary64_1041
4×add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137 unswap-sqr_binary64_1069
2×pow-prod-down_binary64_1172 pow-prod-up_binary64_1171 pow-sqr_binary64_1074
1×pow2_binary64_1182 pow-plus_binary64_1164 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 *-commutative_binary64_1032
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 a) (cbrt.f64 a))
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
1.0ms
(cbrt.f64 a)
Compiler

Compiled 1378 to 247 computations (82.1% saved)

series323.0ms (8%)

Error
0b
Counts
4 → 12
Calls

4 calls:

89.0ms
(cbrt.f64 a)
86.0ms
(*.f64 (cbrt.f64 a) (cbrt.f64 a))
72.0ms
(cbrt.f64 a)
66.0ms
(cbrt.f64 a)
Compiler

Compiled 591 to 414 computations (29.9% saved)

simplify77.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04873548
14873548

prune53.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590
Error
0b
Counts
90 → 5
Compiler

Compiled 1403 to 301 computations (78.5% saved)

regimes322.0ms (7.9%)

Accuracy

Total 0.0b remaining (89.9%)

Threshold costs 0.0b (89.9%)

Compiler

Compiled 2502 to 2035 computations (18.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01110
11110

end0.0ms (0%)

sample1.3s (30.9%)

Algorithm
1×intervals
Results
311.0ms8000×pre128true
193.0ms8000×body128valid
Compiler

Compiled 392 to 320 computations (18.4% saved)

Profiling

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