Details

Time bar (total: 2.0min)

analyze259.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Compiler

Compiled 23 to 18 computations (21.7% saved)

sample25.0ms (0%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
6.0ms258×pre128true
0.0ms2×body128invalid
Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify208.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
0492419
1492419

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 13 to 11 computations (15.4% saved)

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

0.0b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite43.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
12×associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64
10×associate-*l*_binary64
8×flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64
7×pow1_binary64
6×associate-*r/_binary64 difference-of-squares_binary64
4×sub-neg_binary64 frac-times_binary64
3×associate-/r*_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64 times-frac_binary64
2×pow-prod-down_binary64 associate-/l/_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
1×difference-of-sqr-1_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64
Counts
3 → 95
Calls

6 calls:

18.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
8.0ms
(*.f64 m (-.f64 1 m))
8.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms
(*.f64 m (-.f64 1 m))
0.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)

series289.0ms (0.2%)

Counts
3 → 33
Calls

3 calls:

153.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
101.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
35.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 627 to 518 computations (17.4% saved)

simplify72.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050172129

prune507.0ms (0.4%)

Pruning

61 alts after pruning (60 fresh and 1 done)

PrunedKeptTotal
New6860128
Fresh000
Picked000
Done011
Total6861129
Error
0b
Counts
129 → 61
Compiler

Compiled 2778 to 2022 computations (27.2% saved)

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))

rewrite56.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
13×add-cube-cbrt_binary64
10×associate-*r*_binary64
9×add-log-exp_binary64
7×flip3--_binary64 associate-*l*_binary64 flip--_binary64
6×associate-/r*_binary64 pow1_binary64 times-frac_binary64 associate-*l/_binary64
4×associate-/l/_binary64 cbrt-undiv_binary64 associate-*r/_binary64 frac-add_binary64 associate-+l+_binary64 div-exp_binary64
3×cbrt-unprod_binary64 distribute-lft-neg-in_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 prod-exp_binary64
2×distribute-rgt-neg-out_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 div-inv_binary64 sum-log_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 diff-log_binary64 difference-of-sqr-1_binary64 neg-mul-1_binary64 associate-+l-_binary64 unswap-sqr_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 *-commutative_binary64
Counts
4 → 100
Calls

8 calls:

17.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
14.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms
(*.f64 m (-.f64 1 m))

series589.0ms (0.5%)

Counts
4 → 51
Calls

4 calls:

206.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))
172.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)))
107.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
103.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 1408 to 1088 computations (22.7% saved)

simplify76.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050212732

localize2.0ms (0%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(*.f64 (-.f64 1 m) (-.f64 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v)) 1))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.3b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v))
13.8b
(/.f64 (*.f64 (-.f64 1 m) (-.f64 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))

rewrite76.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
55×add-exp-log_binary64 add-cbrt-cube_binary64
22×*-un-lft-identity_binary64 times-frac_binary64
20×add-sqr-sqrt_binary64
18×cbrt-unprod_binary64 cbrt-undiv_binary64 add-cube-cbrt_binary64 prod-exp_binary64 div-exp_binary64
12×associate-/l/_binary64
11×pow1_binary64
10×associate-/r*_binary64
8×flip3--_binary64 flip--_binary64
7×swap-sqr_binary64 associate-*r*_binary64 associate-*r/_binary64 associate-*l*_binary64 div-inv_binary64
5×frac-times_binary64
4×add-log-exp_binary64
3×clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 associate-*l/_binary64
2×distribute-lft-out_binary64 associate-/r/_binary64
1×pow-prod-down_binary64 flip3-+_binary64 pow-prod-up_binary64 pow-plus_binary64 unswap-sqr_binary64 pow-sqr_binary64 flip-+_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 135
Calls

8 calls:

29.0ms
(/.f64 (*.f64 (-.f64 1 m) (-.f64 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
15.0ms
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v))
8.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms
(*.f64 m (-.f64 1 m))

series761.0ms (0.6%)

Counts
4 → 48
Calls

4 calls:

334.0ms
(/.f64 (*.f64 (-.f64 1 m) (-.f64 (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
218.0ms
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (/.f64 (*.f64 m (-.f64 1 m)) v))
105.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
103.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 2105 to 1622 computations (22.9% saved)

simplify87.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050033426

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

4.5b
(exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(*.f64 (-.f64 (exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))) 1) (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 (-.f64 (exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))) 1) (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
4.5b
(exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))

rewrite54.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
35×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
12×associate-*r*_binary64 cancel-sign-sub-inv_binary64
10×log-prod_binary64 exp-sum_binary64
9×pow1_binary64
8×flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 flip--_binary64
6×associate-*r/_binary64 times-frac_binary64
4×add-log-exp_binary64 sub-neg_binary64 frac-times_binary64 exp-prod_binary64
3×associate-/r*_binary64 cbrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64
2×pow-prod-down_binary64 associate-/l/_binary64 cbrt-undiv_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64
1×log-pow_binary64 rem-exp-log_binary64 exp-diff_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 log-div_binary64
Counts
4 → 118
Calls

8 calls:

21.0ms
(*.f64 (-.f64 (exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))) 1) (-.f64 1 m))
8.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms
(*.f64 m (-.f64 1 m))
6.0ms
(exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))
0.0ms
(*.f64 m (-.f64 1 m))

series660.0ms (0.5%)

Counts
4 → 30
Calls

4 calls:

301.0ms
(*.f64 (-.f64 (exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))) 1) (-.f64 1 m))
212.0ms
(exp.f64 (log.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))
107.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
40.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 955 to 829 computations (13.2% saved)

simplify79.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049862308
149862308

localize12.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(*.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))))
0.0b
(+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1)
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.1b
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.3b
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))

rewrite56.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
28×frac-times_binary64
18×flip3-+_binary64 flip-+_binary64
16×associate-*r/_binary64
15×sqrt-prod_binary64
14×*-un-lft-identity_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
11×pow1_binary64 add-cube-cbrt_binary64
10×flip3--_binary64 flip--_binary64
9×times-frac_binary64
8×associate-*l/_binary64
5×associate-*l*_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 prod-exp_binary64
3×pow-prod-down_binary64 associate-/r*_binary64 div-inv_binary64
2×associate-/l/_binary64 pow1/2_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-exp_binary64 sqrt-div_binary64
1×associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 *-commutative_binary64
Counts
4 → 109
Calls

8 calls:

24.0ms
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
8.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
6.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
5.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.0ms
(*.f64 m (-.f64 1 m))

series428.0ms (0.3%)

Counts
4 → 28
Calls

4 calls:

182.0ms
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
112.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
67.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
66.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
Compiler

Compiled 1648 to 1331 computations (19.2% saved)

simplify83.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049753452
149753452

prune9.6s (7.9%)

Pruning

259 alts after pruning (254 fresh and 5 done)

PrunedKeptTotal
New413206619
Fresh74855
Picked000
Done156
Total421259680
Error
0b
Counts
680 → 259
Compiler

Compiled 19825 to 14105 computations (28.9% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
0.0b
(/.f64 v (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b
(/.f64 m (/.f64 v (-.f64 1 m)))
0.2b
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m))

rewrite109.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
156×times-frac_binary64
135×add-sqr-sqrt_binary64
117×*-un-lft-identity_binary64
76×add-cube-cbrt_binary64
30×difference-of-squares_binary64
27×associate-/r*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×associate-*l*_binary64 distribute-lft-out--_binary64
10×flip3--_binary64 associate-*r*_binary64 flip--_binary64
9×add-log-exp_binary64 associate-/r/_binary64
6×pow1_binary64 div-inv_binary64 associate-*l/_binary64
5×cbrt-undiv_binary64 div-exp_binary64
4×frac-add_binary64 associate-+l+_binary64 associate-/l*_binary64
3×difference-of-sqr-1_binary64 distribute-lft-neg-in_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64
2×associate-/l/_binary64 cbrt-unprod_binary64 distribute-rgt-neg-out_binary64 associate-*r/_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 sum-log_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 diff-log_binary64 neg-mul-1_binary64 associate-+l-_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 *-commutative_binary64
Counts
4 → 197
Calls

8 calls:

38.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m))
24.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
10.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms
(*.f64 m (-.f64 1 m))

series590.0ms (0.5%)

Counts
4 → 51
Calls

4 calls:

218.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m))
165.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
104.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
102.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 1408 to 1088 computations (22.7% saved)

simplify104.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
052505162

localize6.0ms (0%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)) 1))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)) 1))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))

rewrite54.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
19×add-sqr-sqrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
13×add-cube-cbrt_binary64
10×associate-*r*_binary64
9×add-log-exp_binary64
7×associate-*l*_binary64
6×associate-/r*_binary64 pow1_binary64 times-frac_binary64
4×associate-/l/_binary64 cbrt-undiv_binary64 associate-*r/_binary64 associate-+l+_binary64 div-exp_binary64
3×flip3--_binary64 cbrt-unprod_binary64 distribute-lft-neg-in_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 prod-exp_binary64 flip--_binary64
2×distribute-lft-out_binary64 clear-num_binary64 frac-2neg_binary64 difference-of-squares_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 associate-*l/_binary64 sum-log_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 diff-log_binary64 distribute-rgt-neg-out_binary64 difference-of-sqr-1_binary64 neg-mul-1_binary64 associate-+l-_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 *-commutative_binary64
Counts
4 → 97
Calls

8 calls:

16.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)) 1))
14.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))
8.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0ms
(*.f64 m (-.f64 1 m))

series582.0ms (0.5%)

Counts
4 → 51
Calls

4 calls:

208.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m))
167.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (neg.f64 m)) 1))
103.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
102.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
Compiler

Compiled 1510 to 1190 computations (21.2% saved)

simplify71.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049492366
149492366

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(-.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.1b
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))
0.1b
(+.f64 (*.f64 (-.f64 1 m) (-.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))) (*.f64 (-.f64 1 m) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
0.1b
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.1b
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))

rewrite94.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
113×frac-add_binary64
98×flip3--_binary64 flip--_binary64
92×frac-times_binary64
46×associate-*r/_binary64
38×associate-*l/_binary64
29×sqrt-prod_binary64
27×sqrt-div_binary64
26×flip3-+_binary64 flip-+_binary64
22×associate-+l+_binary64
20×cancel-sign-sub-inv_binary64
19×add-sqr-sqrt_binary64
18×*-un-lft-identity_binary64
14×add-cube-cbrt_binary64
12×distribute-lft-in_binary64 distribute-rgt-in_binary64 times-frac_binary64
8×add-log-exp_binary64
6×pow1_binary64
4×add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
2×sub-neg_binary64 pow1/2_binary64 distribute-lft-out_binary64 distribute-rgt-out_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 +-commutative_binary64 associate-+r+_binary64 sum-log_binary64
1×distribute-lft1-in_binary64
Counts
4 → 176
Calls

8 calls:

23.0ms
(+.f64 (*.f64 (-.f64 1 m) (-.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))) (*.f64 (-.f64 1 m) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
11.0ms
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))
6.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
5.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.0ms
(*.f64 m (-.f64 1 m))

series407.0ms (0.3%)

Counts
4 → 36
Calls

4 calls:

175.0ms
(+.f64 (*.f64 (-.f64 1 m) (-.f64 -1 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))) (*.f64 (-.f64 1 m) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
90.0ms
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))
73.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
69.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
Compiler

Compiled 1953 to 1483 computations (24.1% saved)

simplify166.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0507416818

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(/.f64 (*.f64 (-.f64 1 m) (-.f64 (log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 4))) 1)) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.6b
(pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 4)
2.5b
(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 4)))

rewrite37.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64
20×unpow-prod-down_binary64
18×add-sqr-sqrt_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64
15×log-pow_binary64
14×exp-prod_binary64
12×times-frac_binary64
10×add-exp-log_binary64
9×add-cbrt-cube_binary64
8×pow1_binary64
4×add-log-exp_binary64 div-inv_binary64
3×pow-unpow_binary64 associate-/r*_binary64 log-prod_binary64 pow-pow_binary64
2×associate-/l/_binary64 pow1/2_binary64 cbrt-undiv_binary64 associate-*r/_binary64 sqr-pow_binary64 sqrt-pow1_binary64 div-exp_binary64
1×pow-to-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 sqrt-pow2_binary64 rem-log-exp_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 associate-/l*_binary64 flip--_binary64 pow-exp_binary64 sqrt-div_binary64
Counts
4 → 94
Calls

8 calls:

7.0ms
(pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 4)
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
6.0ms
(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 4)))
6.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.0ms
(*.f64 m (-.f64 1 m))

series618.0ms (0.5%)

Counts
4 → 26
Calls

4 calls:

299.0ms
(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 4)))
152.0ms
(pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 4)
99.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
68.0ms
(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
Compiler

Compiled 2485 to 2020 computations (18.7% saved)

simplify63.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049681805
149681805

prune31.4s (25.7%)

Pruning

467 alts after pruning (458 fresh and 9 done)

PrunedKeptTotal
New474254728
Fresh45204249
Picked000
Done1910
Total520467987
Error
0b
Counts
987 → 467
Compiler

Compiled 43320 to 29467 computations (32% saved)

localize18.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
0.0b
(+.f64 (-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
0.0b
(/.f64 v (-.f64 1 m))
0.0b
(-.f64 (*.f64 m m) m)
0.0b
(+.f64 (-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
0.0b
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
0.1b
(/.f64 m (/.f64 v (-.f64 1 m)))
0.2b
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m))

rewrite133.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
203×times-frac_binary64
173×add-sqr-sqrt_binary64
155×*-un-lft-identity_binary64
103×add-cube-cbrt_binary64
41×difference-of-squares_binary64
34×associate-/r*_binary64
21×distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
13×add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64 distribute-lft-out--_binary64
11×distribute-rgt-out--_binary64
10×flip3--_binary64 associate-*r*_binary64 flip--_binary64
9×add-log-exp_binary64 associate-/r/_binary64
8×associate-/l*_binary64
7×neg-mul-1_binary64
6×pow1_binary64 div-inv_binary64 associate-*l/_binary64
4×cbrt-undiv_binary64 frac-add_binary64 associate-+l+_binary64 div-exp_binary64
3×difference-of-sqr-1_binary64 cancel-sign-sub-inv_binary64
2×associate-/l/_binary64 distribute-rgt-neg-out_binary64 clear-num_binary64 frac-2neg_binary64 sum-log_binary64
1×pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 diff-log_binary64 cbrt-unprod_binary64 associate-+l-_binary64 unswap-sqr_binary64 div-sub_binary64 prod-exp_binary64 +-commutative_binary64 flip-+_binary64 unsub-neg_binary64 *-commutative_binary64
Counts
4 → 254
Calls

8 calls:

44.0ms
(+.f64 (-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
38.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m))
10.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
8.0ms
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
0.0ms
(-.f64 (*.f64 m m) m)

series627.0ms (0.5%)

Counts
4 → 51
Calls

4 calls:

225.0ms
(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m))
175.0ms
(+.f64 (-.f64 (/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v)) 1) (*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (neg.f64 m)))
121.0ms
(/.f64 (-.f64 (*.f64 m m) m) (neg.f64 v))
106.0ms
(/.f64 m (/.f64 v (-.f64 1 m)))
Compiler

Compiled 1448 to 1092 computations (24.6% saved)

simplify102.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
305 → 305
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049636844
149636844

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 m (/.f64 m v))
0.0b
(+.f64 m (/.f64 m v))

rewrite12.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity_binary64 add-log-exp_binary64
1×flip3-+_binary64 pow1_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 12
Calls

2 calls:

11.0ms
(+.f64 m (/.f64 m v))
0.0ms
(+.f64 m (/.f64 m v))

series55.0ms (0%)

Counts
1 → 8
Calls

1 calls:

54.0ms
(+.f64 m (/.f64 m v))
Compiler

Compiled 100 to 97 computations (3% saved)

simplify82.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04830181
14830181

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

9.4b
(/.f64 (pow.f64 m 3) v)
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (/.f64 (pow.f64 m 3) v) 1))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (/.f64 (pow.f64 m 3) v) 1))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
9.4b
(/.f64 (pow.f64 m 3) v)

rewrite68.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
44×*-un-lft-identity_binary64
41×add-sqr-sqrt_binary64
39×times-frac_binary64
36×add-cube-cbrt_binary64
16×add-exp-log_binary64
13×add-cbrt-cube_binary64 associate-/l*_binary64
12×unpow-prod-down_binary64 cube-prod_binary64
9×add-log-exp_binary64 cancel-sign-sub-inv_binary64
6×associate-/r*_binary64 pow1_binary64 associate-*r*_binary64
5×div-exp_binary64
4×associate-*r/_binary64 associate-+l+_binary64 sqr-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unpow3_binary64 cube-mult_binary64
3×sub-neg_binary64 cbrt-undiv_binary64 associate-*l*_binary64
2×associate-/l/_binary64 flip3--_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 flip--_binary64 sum-log_binary64
1×pow-to-exp_binary64 pow-prod-down_binary64 flip3-+_binary64 diff-log_binary64 associate-+l-_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 138
Calls

8 calls:

36.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (/.f64 (pow.f64 m 3) v) 1))
7.0ms
(*.f64 m (-.f64 1 m))
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
5.0ms
(/.f64 (pow.f64 m 3) v)
0.0ms
(*.f64 m (-.f64 1 m))

series395.0ms (0.3%)

Counts
4 → 39
Calls

4 calls:

149.0ms
(+.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) (pow.f64 (/.f64 (pow.f64 m 3) v) 1))
109.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
93.0ms
(/.f64 (pow.f64 m 3) v)
43.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 865 to 711 computations (17.8% saved)

simplify75.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049742259
149742259

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.3b
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.3b
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.3b
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.3b
(*.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)))

rewrite72.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
61×cbrt-prod_binary64
55×add-sqr-sqrt_binary64
44×*-un-lft-identity_binary64
18×cbrt-div_binary64
16×difference-of-squares_binary64
15×add-cube-cbrt_binary64
14×swap-sqr_binary64
11×pow1_binary64
10×associate-*r*_binary64 associate-*l*_binary64
9×flip3--_binary64 pow1/3_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64 flip--_binary64
6×add-exp-log_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
1×cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 115
Calls

8 calls:

27.0ms
(*.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)))
9.0ms
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
9.0ms
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
8.0ms
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.0ms
(*.f64 m (-.f64 1 m))

series611.0ms (0.5%)

Counts
4 → 32
Calls

4 calls:

274.0ms
(*.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)))
114.0ms
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
112.0ms
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
111.0ms
(cbrt.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
Compiler

Compiled 3415 to 2709 computations (20.7% saved)

simplify104.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050034012

localize27.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(*.f64 m (-.f64 1 m))
0.2b
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 1 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
0.3b
(pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3)
0.5b
(pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3)
18.7b
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3) (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 1 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))))))

rewrite150.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
66×*-un-lft-identity_binary64
47×add-sqr-sqrt_binary64
45×unpow-prod-down_binary64 cube-prod_binary64
36×times-frac_binary64
34×add-exp-log_binary64 add-cbrt-cube_binary64
22×sqrt-prod_binary64
21×add-cube-cbrt_binary64 associate-/l*_binary64
20×distribute-rgt-out_binary64
12×distribute-lft-out_binary64
10×cbrt-undiv_binary64 div-exp_binary64
9×pow1_binary64 cbrt-unprod_binary64 prod-exp_binary64
7×associate-*l*_binary64
6×pow-unpow_binary64 div-inv_binary64
5×flip3-+_binary64 associate-*r*_binary64 associate-/r/_binary64 flip-+_binary64
4×add-log-exp_binary64 associate-*r/_binary64 pow-pow_binary64 distribute-rgt1-in_binary64 cube-div_binary64 rem-cube-cbrt_binary64 frac-times_binary64 pow-exp_binary64
3×associate-/l/_binary64
2×pow-to-exp_binary64 sum-cubes_binary64 sqr-pow_binary64 unpow3_binary64 sqrt-div_binary64 associate-*l/_binary64 cube-mult_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 pow1/2_binary64 sqrt-pow2_binary64 frac-add_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
4 → 181
Calls

8 calls:

66.0ms
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3) (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 1 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))))))
24.0ms
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 1 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
8.0ms
(pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3)
8.0ms
(pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3)
0.0ms
(*.f64 m (-.f64 1 m))

series1.8s (1.5%)

Counts
4 → 29
Calls

4 calls:

1.1s
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3) (pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3)) (*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 1 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))))))
388.0ms
(*.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (+.f64 1 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)))))
175.0ms
(pow.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 3)
152.0ms
(pow.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 3)
Compiler

Compiled 5135 to 3870 computations (24.6% saved)

simplify120.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050728486

prune54.3s (44.4%)

Pruning

680 alts after pruning (669 fresh and 11 done)

PrunedKeptTotal
New598261859
Fresh45408453
Picked000
Done31114
Total6466801326
Error
0b
Counts
1326 → 680
Compiler

Compiled 23091 to 14395 computations (37.7% saved)

simplify1.2s (0.9%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0527885198

regimes11.4s (9.3%)

Compiler

Compiled 154761 to 112819 computations (27.1% saved)

bsearch0.0ms (0%)

regimes263.0ms (0.2%)

Compiler

Compiled 2691 to 2131 computations (20.8% saved)

bsearch0.0ms (0%)

regimes88.0ms (0.1%)

Compiler

Compiled 308 to 280 computations (9.1% saved)

bsearch16.0ms (0%)

Steps
ItersRangePoint
7
2.0302383423212105e-29
8.762327007004916e-28
8.58952850843879e-28
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes54.0ms (0%)

Compiler

Compiled 190 to 184 computations (3.2% saved)

bsearch13.0ms (0%)

Steps
ItersRangePoint
7
2.0302383423212105e-29
8.762327007004916e-28
8.58952850843879e-28
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes48.0ms (0%)

Compiler

Compiled 168 to 168 computations (0% saved)

bsearch16.0ms (0%)

Steps
ItersRangePoint
8
0.04478616631612447
60.78558124916041
0.9958808451382868
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes37.0ms (0%)

Compiler

Compiled 146 to 152 computations (-4.1% saved)

bsearch0.0ms (0%)

regimes25.0ms (0%)

Compiler

Compiled 42 to 62 computations (-47.6% saved)

bsearch0.0ms (0%)

regimes21.0ms (0%)

Compiler

Compiled 22 to 42 computations (-90.9% saved)

bsearch0.0ms (0%)

regimes15.0ms (0%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch7.0ms (0%)

Compiler

Compiled 114 to 90 computations (21.1% saved)

simplify21.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
0510162
1510162

end0.0ms (0%)

sample1.8s (1.5%)

Algorithm
1×intervals
Results
295.0ms8000×body128valid
162.0ms8052×pre128true
2.0ms52×body128invalid
Compiler

Compiled 51805 to 37776 computations (27.1% saved)

Profiling

Loading profile data...