Details

Time bar (total: 9.9s)

analyze1.5s (15.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14
Compiler

Compiled 16 to 16 computations (0% saved)

sample44.0ms (0.4%)

Algorithm
1×intervals
Results
12.0ms256×body80valid
8.0ms173×body80invalid
Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify18.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
06722
16722

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 30 to 30 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))

rewrite22.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
19×add-log-exp_binary64
10×sum-log_binary64
3×flip3-+_binary64 *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
2×associate-+l+_binary64
Counts
3 → 38
Calls

3 calls:

10.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
7.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

series135.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

104.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)) (*.f64 c i))
20.0ms
(+.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))
10.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

simplify77.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048961004
148961004

prune39.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3
Compiler

Compiled 1068 to 191 computations (82.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z t))
0.0b
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
0.3b
(pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3)
34.7b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3))

rewrite28.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64
11×add-log-exp_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×unpow-prod-down_binary64 cube-prod_binary64
5×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×flip3-+_binary64 cube-div_binary64 flip-+_binary64 sum-log_binary64
3×pow-unpow_binary64
2×cbrt-div_binary64 sqr-pow_binary64 +-commutative_binary64 unpow3_binary64 cube-mult_binary64
1×pow-to-exp_binary64 rem-cbrt-cube_binary64 pow1/3_binary64 pow-pow_binary64 rem-cube-cbrt_binary64 associate-+r+_binary64 pow-exp_binary64
Counts
4 → 72
Calls

4 calls:

7.0ms
(pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3)
7.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3))
7.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
4.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

series1.7s (17.6%)

Counts
4 → 12
Calls

4 calls:

1.7s
(pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3)
26.0ms
(+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t)))
23.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 a b) (+.f64 (*.f64 x y) (*.f64 z t))) 3))
11.0ms
(+.f64 (*.f64 x y) (*.f64 z t))

simplify75.0ms (0.8%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
051041912

prune54.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0.0b

Counts
87 → 3
Compiler

Compiled 2134 to 504 computations (76.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))
2.0b
(+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))))
4.0b
(+.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
35.9b
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 3) (pow.f64 (*.f64 a b) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))))

rewrite66.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
26×*-un-lft-identity_binary64
18×add-sqr-sqrt_binary64
16×add-cube-cbrt_binary64
15×times-frac_binary64
8×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
7×flip3-+_binary64 flip-+_binary64
6×pow1_binary64
5×distribute-lft-out_binary64 sum-cubes_binary64 associate-/l*_binary64
4×sub-neg_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 associate-+r+_binary64 frac-times_binary64 associate--l+_binary64
3×associate-/r*_binary64 flip3--_binary64 associate-*r*_binary64 associate-*l*_binary64 flip--_binary64
2×associate-/l/_binary64 associate-*r/_binary64 associate-/r/_binary64 +-commutative_binary64 associate-*l/_binary64 sum-log_binary64
1×pow-prod-down_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 *-commutative_binary64
Counts
4 → 97
Calls

4 calls:

26.0ms
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 3) (pow.f64 (*.f64 a b) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))))
13.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
13.0ms
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))
12.0ms
(+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))))

series2.7s (27.1%)

Counts
4 → 12
Calls

4 calls:

2.2s
(+.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 3) (pow.f64 (*.f64 a b) 3))
233.0ms
(/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 3) (pow.f64 (*.f64 a b) 3)) (+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))))
219.0ms
(+.f64 (*.f64 (*.f64 a b) (*.f64 a b)) (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b))))
63.0ms
(*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (+.f64 (*.f64 x y) (*.f64 z t)) (*.f64 a b)))

simplify116.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050536041

prune102.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done022
Total1093112

Merged error: 0.0b

Counts
112 → 3
Compiler

Compiled 6915 to 1496 computations (78.4% saved)

regimes1.0s (10.2%)

Compiler

Compiled 1306 to 1133 computations (13.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02322
12322

end0.0ms (0%)

sample2.1s (21.6%)

Algorithm
1×intervals
Results
634.0ms8000×body80valid
284.0ms5585×body80invalid
Compiler

Compiled 111 to 96 computations (13.5% saved)

Profiling

Loading profile data...