Details

Time bar (total: 5.9s)

analyze267.0ms (4.5%)

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)

sample37.0ms (0.6%)

Algorithm
1×intervals
Results
9.0ms290×pre128true
9.0ms172×body128valid
8.0ms84×body256valid
2.0ms34×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify381.0ms (6.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (287.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
41.0b
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))
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
36.5b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite36.0ms (0.6%)

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 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
5.0ms
(*.f64 (*.f64 3 a) c)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series226.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
70.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
32.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify63.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051801823

prune141.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490
Error
5.6b
Counts
90 → 14
Compiler

Compiled 2424 to 1477 computations (39.1% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune22.0ms (0.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414
Error
5.6b
Counts
14 → 14
Compiler

Compiled 443 to 311 computations (29.8% saved)

localize7.0ms (0.1%)

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))
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite26.0ms (0.4%)

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)

series67.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(/.f64 (*.f64 a c) b)
23.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04962874
14962874

prune100.0ms (1.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New751287
Fresh01212
Picked101
Done101
Total7724101
Error
5.5b
Counts
101 → 24
Compiler

Compiled 1666 to 984 computations (40.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite48.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
471×times-frac_binary64_1107
229×add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
57×associate-/r*_binary64_1045
22×div-inv_binary64_1098
16×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
9×div-exp_binary64_1152 cbrt-undiv_binary64_1135
6×associate-/l*_binary64_1046 associate-/r/_binary64_1047
2×add-log-exp_binary64_1140 frac-2neg_binary64_1112 pow1_binary64_1162 clear-num_binary64_1100
Counts
2 → 266
Calls

2 calls:

13.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))
6.0ms
(/.f64 3 (/.f64 c b))

series35.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

20.0ms
(/.f64 3 (/.f64 c b))
15.0ms
(/.f64 -3/2 (/.f64 3 (/.f64 c b)))

simplify137.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
050236058

prune273.0ms (4.6%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New25616272
Fresh61723
Picked011
Done000
Total26234296
Error
5.5b
Counts
296 → 34
Compiler

Compiled 4635 to 2656 computations (42.7% saved)

regimes1.0s (17.4%)

Accuracy

Total 4.7b remaining (48.6%)

Threshold costs 0b (0%)

Compiler

Compiled 10421 to 8186 computations (21.4% saved)

bsearch6.0ms (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%)

sample2.9s (49.6%)

Algorithm
1×intervals
Results
288.0ms2942×body256valid
268.0ms8890×pre128true
255.0ms5056×body128valid
42.0ms890×body128nan
0.0ms2×body512valid
Compiler

Compiled 2159 to 1687 computations (21.9% saved)

Profiling

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