Details

Time bar (total: 18.4s)

analyze2.8s (15.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14
Compiler

Compiled 18 to 18 computations (0% saved)

sample77.0ms (0.4%)

Algorithm
1×intervals
Results
25.0ms256×body128valid
10.0ms102×body128invalid
Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify259.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
078825
178825

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.2b
Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 y 9) z)
0.2b
(*.f64 (*.f64 a 27) b)
4.6b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite242.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
23×pow1_binary64_17189 add-exp-log_binary64_17166 add-cbrt-cube_binary64_17164
12×pow-prod-down_binary64_17199 prod-exp_binary64_17177 cbrt-unprod_binary64_17161
9×add-log-exp_binary64_17167 associate-*r*_binary64_17068
7×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128
3×associate-*l*_binary64_17069 *-commutative_binary64_17059
2×sum-log_binary64_17219 associate-+l+_binary64_17061
1×diff-log_binary64_17220 flip3-+_binary64_17131 flip-+_binary64_17102 associate-+l-_binary64_17063 sub-neg_binary64_17121 cancel-sign-sub-inv_binary64_17094 +-commutative_binary64_17058
Counts
4 → 72
Calls

4 calls:

15.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
13.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
10.0ms
(*.f64 (*.f64 y 9) z)
10.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1755 to 1161 computations (33.8% saved)

series1.4s (7.7%)

Error
2.3b
Counts
4 → 57
Calls

4 calls:

914.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
221.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
105.0ms
(*.f64 (*.f64 y 9) z)
101.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 2249 to 1922 computations (14.5% saved)

simplify169.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (129.0ms)

IterNodesCost
049821863
149821863

prune230.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1236129
Fresh000
Picked101
Done000
Total1246130
Error
0.0b
Counts
130 → 6
Compiler

Compiled 2491 to 1373 computations (44.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z)))
0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z))) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
4.7b
(*.f64 (*.f64 y 9) (*.f64 t z))

rewrite194.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
21×pow1_binary64_17189 add-exp-log_binary64_17166 add-cbrt-cube_binary64_17164
11×pow-prod-down_binary64_17199 prod-exp_binary64_17177 add-log-exp_binary64_17167 cbrt-unprod_binary64_17161
5×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128
4×associate-*r*_binary64_17068
2×associate-*l*_binary64_17069 *-commutative_binary64_17059 diff-log_binary64_17220 sum-log_binary64_17219 sub-neg_binary64_17121 associate-+l+_binary64_17061 cancel-sign-sub-inv_binary64_17094
1×flip3-+_binary64_17131 flip-+_binary64_17102 associate-+l-_binary64_17063 +-commutative_binary64_17058 flip3--_binary64_17132 flip--_binary64_17103
Counts
4 → 67
Calls

4 calls:

15.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z))) (*.f64 (*.f64 a 27) b))
13.0ms
(*.f64 (*.f64 y 9) (*.f64 t z))
10.0ms
(*.f64 (*.f64 a 27) b)
8.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z)))
Compiler

Compiled 1729 to 1063 computations (38.5% saved)

series1.8s (9.6%)

Error
0.0b
Counts
4 → 75
Calls

4 calls:

934.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z))) (*.f64 (*.f64 a 27) b))
425.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 t z)))
226.0ms
(*.f64 (*.f64 y 9) (*.f64 t z))
85.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 2827 to 2399 computations (15.1% saved)

simplify162.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049282242
149282242

prune237.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh145
Picked011
Done000
Total1426148
Error
0.0b
Counts
148 → 6
Compiler

Compiled 2648 to 1333 computations (49.7% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 y (*.f64 9 (*.f64 t z)))) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.2b
(*.f64 9 (*.f64 t z))
4.8b
(*.f64 y (*.f64 9 (*.f64 t z)))

rewrite194.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
23×pow1_binary64_17189 add-exp-log_binary64_17166 add-cbrt-cube_binary64_17164
12×pow-prod-down_binary64_17199 prod-exp_binary64_17177 cbrt-unprod_binary64_17161
9×add-log-exp_binary64_17167
7×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128 associate-*l*_binary64_17069
5×associate-*r*_binary64_17068
3×*-commutative_binary64_17059
2×sum-log_binary64_17219 associate-+l+_binary64_17061
1×diff-log_binary64_17220 flip3-+_binary64_17131 flip-+_binary64_17102 associate-+l-_binary64_17063 sub-neg_binary64_17121 cancel-sign-sub-inv_binary64_17094 +-commutative_binary64_17058
Counts
4 → 72
Calls

4 calls:

15.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 y (*.f64 9 (*.f64 t z)))) (*.f64 (*.f64 a 27) b))
14.0ms
(*.f64 y (*.f64 9 (*.f64 t z)))
10.0ms
(*.f64 9 (*.f64 t z))
10.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1755 to 1076 computations (38.7% saved)

series1.4s (7.8%)

Error
0.0b
Counts
4 → 57
Calls

4 calls:

869.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 y (*.f64 9 (*.f64 t z)))) (*.f64 (*.f64 a 27) b))
195.0ms
(*.f64 y (*.f64 9 (*.f64 t z)))
101.0ms
(*.f64 (*.f64 a 27) b)
92.0ms
(*.f64 9 (*.f64 t z))
Compiler

Compiled 2249 to 1917 computations (14.8% saved)

simplify129.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
049171857
149171857

prune198.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh044
Picked011
Done011
Total1296135
Error
0.0b
Counts
135 → 6
Compiler

Compiled 2440 to 1303 computations (46.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 9 (*.f64 t (*.f64 z y)))) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 a 27) b)
0.2b
(*.f64 9 (*.f64 t (*.f64 z y)))
4.6b
(*.f64 t (*.f64 z y))

rewrite183.0ms (1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
23×pow1_binary64_17189 add-exp-log_binary64_17166 add-cbrt-cube_binary64_17164
12×pow-prod-down_binary64_17199 prod-exp_binary64_17177 cbrt-unprod_binary64_17161
9×add-log-exp_binary64_17167
7×add-cube-cbrt_binary64_17163 add-sqr-sqrt_binary64_17150 *-un-lft-identity_binary64_17128 associate-*l*_binary64_17069
5×associate-*r*_binary64_17068
3×*-commutative_binary64_17059
2×sum-log_binary64_17219 associate-+l+_binary64_17061
1×diff-log_binary64_17220 flip3-+_binary64_17131 flip-+_binary64_17102 associate-+l-_binary64_17063 sub-neg_binary64_17121 cancel-sign-sub-inv_binary64_17094 +-commutative_binary64_17058
Counts
4 → 72
Calls

4 calls:

13.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 9 (*.f64 t (*.f64 z y)))) (*.f64 (*.f64 a 27) b))
12.0ms
(*.f64 9 (*.f64 t (*.f64 z y)))
9.0ms
(*.f64 t (*.f64 z y))
9.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 1755 to 974 computations (44.5% saved)

series1.4s (7.5%)

Error
0.0b
Counts
4 → 60
Calls

4 calls:

854.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 9 (*.f64 t (*.f64 z y)))) (*.f64 (*.f64 a 27) b))
209.0ms
(*.f64 9 (*.f64 t (*.f64 z y)))
156.0ms
(*.f64 t (*.f64 z y))
95.0ms
(*.f64 (*.f64 a 27) b)
Compiler

Compiled 2402 to 2033 computations (15.4% saved)

simplify159.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
049631878
149631878

prune188.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1320132
Fresh033
Picked011
Done022
Total1326138
Error
0.0b
Counts
138 → 6
Compiler

Compiled 2413 to 1190 computations (50.7% saved)

regimes3.4s (18.5%)

Accuracy

Total 0.7b remaining (98%)

Threshold costs 0.7b (98%)

Compiler

Compiled 16083 to 15199 computations (5.5% saved)

bsearch3.0ms (0%)

Compiler

Compiled 3 to 8 computations (-166.7% saved)

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
013470
113470

end0.0ms (0%)

sample3.4s (18.7%)

Algorithm
1×intervals
Results
737.0ms8000×body128valid
266.0ms2979×body128invalid
Compiler

Compiled 1016 to 951 computations (6.4% saved)

Profiling

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