Details

Time bar (total: 4.6s)

analyze263.0ms (5.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14
Compiler

Compiled 30 to 24 computations (20% saved)

sample44.0ms (1%)

Algorithm
1×intervals
Results
12.0ms122×body256valid
9.0ms284×pre128true
7.0ms97×body128valid
5.0ms37×body512valid
1.0ms28×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify371.0ms (8.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (279.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 50.7b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
24.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite40.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1123
14×*-un-lft-identity_binary64_1101 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
9×pow1_binary64_1162
8×add-log-exp_binary64_1140 add-cube-cbrt_binary64_1136
6×difference-of-squares_binary64_1070 associate-/l*_binary64_1046 times-frac_binary64_1107
4×cbrt-unprod_binary64_1134 prod-exp_binary64_1150 cancel-sign-sub-inv_binary64_1067
3×distribute-lft-out--_binary64_1053 flip--_binary64_1076 flip3--_binary64_1105 sqrt-prod_binary64_1117 associate-*r*_binary64_1041 pow-prod-down_binary64_1172
2×diff-log_binary64_1193 sub-neg_binary64_1094 associate-/l/_binary64_1048 div-exp_binary64_1152 cbrt-undiv_binary64_1135
1×*-commutative_binary64_1032 frac-2neg_binary64_1112 clear-num_binary64_1100 div-inv_binary64_1098 associate-*l*_binary64_1042 associate-/r*_binary64_1045 div-sub_binary64_1106
Counts
4 → 77
Calls

4 calls:

12.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
11.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series232.0ms (5.1%)

Counts
4 → 12
Calls

4 calls:

116.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
65.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
35.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify62.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051801823

prune136.0ms (3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 3.3b

Counts
90 → 12
Compiler

Compiled 2317 to 1408 computations (39.2% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune16.0ms (0.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212

Merged error: 3.3b

Counts
12 → 12
Compiler

Compiled 336 to 241 computations (28.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (*.f64 a c) b)
0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
17×cbrt-unprod_binary64_1134 prod-exp_binary64_1150
16×div-exp_binary64_1152 cbrt-undiv_binary64_1135
10×add-sqr-sqrt_binary64_1123
8×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
7×times-frac_binary64_1107 associate-*r*_binary64_1041
5×pow1_binary64_1162
4×associate-/r*_binary64_1045
3×add-log-exp_binary64_1140 div-inv_binary64_1098 associate-*l*_binary64_1042
2×frac-2neg_binary64_1112 clear-num_binary64_1100 associate-*r/_binary64_1043 associate-/l*_binary64_1046
1×*-commutative_binary64_1032 associate-/l/_binary64_1048 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
4.0ms
(/.f64 (*.f64 a c) b)

series64.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
20.0ms
(/.f64 (*.f64 a c) b)

simplify51.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune89.0ms (1.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New81687
Fresh01010
Picked101
Done011
Total821799

Merged error: 3.2b

Counts
99 → 17
Compiler

Compiled 1501 to 856 computations (43% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(/.f64 a (sqrt.f64 b))
0.3b
(*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b)))
0.3b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))) (*.f64 3 a))
0.3b
(/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))

rewrite50.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
74×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
31×times-frac_binary64_1107
29×add-sqr-sqrt_binary64_1123
27×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136 div-exp_binary64_1152 cbrt-undiv_binary64_1135
25×cbrt-unprod_binary64_1134 prod-exp_binary64_1150
21×sqrt-prod_binary64_1117
13×associate-/r*_binary64_1045
10×associate-*r*_binary64_1041
6×pow1_binary64_1162
5×associate-/l*_binary64_1046
4×add-log-exp_binary64_1140 div-inv_binary64_1098
3×frac-2neg_binary64_1112 clear-num_binary64_1100 associate-*r/_binary64_1043 associate-*l*_binary64_1042
2×associate-/l/_binary64_1048
1×*-commutative_binary64_1032 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
Counts
4 → 135
Calls

4 calls:

13.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))) (*.f64 3 a))
12.0ms
(*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b)))
8.0ms
(/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))
4.0ms
(/.f64 a (sqrt.f64 b))

series195.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

64.0ms
(*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b)))
58.0ms
(/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))
41.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 c (/.f64 a (sqrt.f64 b))) (sqrt.f64 b))) (*.f64 3 a))
31.0ms
(/.f64 a (sqrt.f64 b))

simplify84.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049871995
149871995

prune121.0ms (2.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1407147
Fresh11415
Picked101
Done011
Total14222164

Merged error: 3.2b

Counts
164 → 22
Compiler

Compiled 2498 to 1107 computations (55.7% saved)

regimes477.0ms (10.4%)

Compiler

Compiled 5556 to 4121 computations (25.8% saved)

bsearch4.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.2s (48.2%)

Algorithm
1×intervals
Results
376.0ms3874×body256valid
264.0ms8784×pre128true
207.0ms1459×body512valid
133.0ms2667×body128valid
44.0ms784×body128nan
Compiler

Compiled 1186 to 874 computations (26.3% saved)

Profiling

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