Details

Time bar (total: 5.5s)

analyze259.0ms (4.7%)

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)

sample45.0ms (0.8%)

Algorithm
1×intervals
Results
14.0ms121×body256valid
8.0ms282×pre128true
7.0ms53×body512valid
4.0ms82×body128valid
1.0ms26×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify460.0ms (8.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (288.0ms)

IterNodesCost
0170624
1170624

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 53.1b

Counts
2 → 1
Compiler

Compiled 65 to 53 computations (18.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
0.2b
(*.f64 (*.f64 3 a) c)
26.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite39.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1133
14×add-cbrt-cube_binary64_1147 *-un-lft-identity_binary64_1111 add-exp-log_binary64_1149
9×pow1_binary64_1172
8×add-cube-cbrt_binary64_1146 add-log-exp_binary64_1150
6×times-frac_binary64_1117 associate-/l*_binary64_1056 difference-of-squares_binary64_1080
4×prod-exp_binary64_1160 cbrt-unprod_binary64_1144 cancel-sign-sub-inv_binary64_1077
3×flip3--_binary64_1115 associate-*r*_binary64_1051 pow-prod-down_binary64_1182 distribute-lft-out--_binary64_1063 flip--_binary64_1086 sqrt-prod_binary64_1127
2×associate-/l/_binary64_1058 diff-log_binary64_1203 div-exp_binary64_1162 cbrt-undiv_binary64_1145 sub-neg_binary64_1104
1×*-commutative_binary64_1042 div-inv_binary64_1108 associate-/r*_binary64_1055 frac-2neg_binary64_1122 associate-*l*_binary64_1052 clear-num_binary64_1110 div-sub_binary64_1116
Counts
4 → 77
Calls

4 calls:

13.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
6.0ms
(*.f64 (*.f64 3 a) c)
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series477.0ms (8.6%)

Counts
4 → 12
Calls

4 calls:

235.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
139.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
68.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
34.0ms
(*.f64 (*.f64 3 a) c)

simplify72.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049221823
149221823

prune433.0ms (7.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New791089
Fresh000
Picked101
Done000
Total801090

Merged error: 2.5b

Counts
90 → 10
Compiler

Compiled 8818 to 5992 computations (32% saved)

localize4.0ms (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

prune15.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 2.5b

Counts
10 → 10
Compiler

Compiled 277 to 194 computations (30% saved)

localize8.0ms (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))

rewrite29.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
49×add-cbrt-cube_binary64_1147 add-exp-log_binary64_1149
17×prod-exp_binary64_1160 cbrt-unprod_binary64_1144
16×div-exp_binary64_1162 cbrt-undiv_binary64_1145
10×add-sqr-sqrt_binary64_1133
8×*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
7×times-frac_binary64_1117 associate-*r*_binary64_1051
5×pow1_binary64_1172
4×associate-/r*_binary64_1055
3×div-inv_binary64_1108 associate-*l*_binary64_1052 add-log-exp_binary64_1150
2×frac-2neg_binary64_1122 associate-/l*_binary64_1056 clear-num_binary64_1110 associate-*r/_binary64_1053
1×*-commutative_binary64_1042 associate-/l/_binary64_1058 pow-prod-down_binary64_1182 unswap-sqr_binary64_1079
Counts
3 → 78
Calls

3 calls:

10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)

series129.0ms (2.3%)

Counts
3 → 9
Calls

3 calls:

48.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
42.0ms
(/.f64 (*.f64 a c) b)
39.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify66.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05036877

prune422.0ms (7.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New78987
Fresh088
Picked101
Done011
Total791897

Merged error: 2.4b

Counts
97 → 18
Compiler

Compiled 8213 to 5723 computations (30.3% 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 a (sqrt.f64 b)))
0.4b
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
0.4b
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))

rewrite68.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
97×add-cbrt-cube_binary64_1147 add-exp-log_binary64_1149
57×times-frac_binary64_1117
54×add-sqr-sqrt_binary64_1133
46×*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
44×associate-*r*_binary64_1051
39×prod-exp_binary64_1160 cbrt-unprod_binary64_1144
31×div-exp_binary64_1162 cbrt-undiv_binary64_1145 sqrt-prod_binary64_1127
11×pow1_binary64_1172
7×associate-/r*_binary64_1055 associate-*r/_binary64_1053
4×div-inv_binary64_1108 associate-/l*_binary64_1056 pow-prod-down_binary64_1182 associate-*l*_binary64_1052 add-log-exp_binary64_1150
3×associate-/l/_binary64_1058 unswap-sqr_binary64_1079
2×*-commutative_binary64_1042 associate-*l/_binary64_1054 frac-times_binary64_1121 frac-2neg_binary64_1122 clear-num_binary64_1110
Counts
4 → 173
Calls

4 calls:

18.0ms
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
15.0ms
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))
11.0ms
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
4.0ms
(/.f64 a (sqrt.f64 b))

series381.0ms (6.9%)

Counts
4 → 12
Calls

4 calls:

116.0ms
(*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b)))
99.0ms
(*.f64 -3/2 (/.f64 a (sqrt.f64 b)))
98.0ms
(/.f64 (*.f64 (*.f64 -3/2 (/.f64 a (sqrt.f64 b))) (/.f64 c (sqrt.f64 b))) (*.f64 3 a))
66.0ms
(/.f64 a (sqrt.f64 b))

simplify101.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
050753107

prune611.0ms (11%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1769185
Fresh31316
Picked101
Done011
Total18023203

Merged error: 2.4b

Counts
203 → 23
Compiler

Compiled 12684 to 7739 computations (39% saved)

regimes195.0ms (3.5%)

Compiler

Compiled 2188 to 1584 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
177

end0.0ms (0%)

sample1.7s (30.5%)

Algorithm
1×intervals
Results
355.0ms3738×body256valid
265.0ms8749×pre128true
206.0ms1437×body512valid
139.0ms2825×body128valid
34.0ms749×body128nan
Compiler

Compiled 579 to 422 computations (27.1% saved)

Profiling

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