Details

Time bar (total: 4.0s)

analyze263.0ms (6.6%)

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)

sample38.0ms (1%)

Algorithm
1×intervals
Results
10.0ms158×body128valid
9.0ms98×body256valid
8.0ms277×pre128true
1.0ms21×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify416.0ms (10.5%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (260.0ms)

IterNodesCost
0170724
1170724

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 44.0b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.2b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
38.7b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite38.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64_2457
14×add-exp-log_binary64_2471 add-cbrt-cube_binary64_2469
13×*-un-lft-identity_binary64_2436
9×pow1_binary64_2494
8×add-log-exp_binary64_2472
7×add-cube-cbrt_binary64_2468
6×associate-/l*_binary64_2383 times-frac_binary64_2442 difference-of-squares_binary64_2405
4×prod-exp_binary64_2482 cbrt-unprod_binary64_2466
3×distribute-lft-out--_binary64_2390 pow-prod-down_binary64_2504 flip3--_binary64_2440 associate-*r*_binary64_2378 sqrt-prod_binary64_2451 flip--_binary64_2411
2×cbrt-undiv_binary64_2467 diff-log_binary64_2525 div-exp_binary64_2484 associate-/l/_binary64_2385 sub-neg_binary64_2429
1×*-commutative_binary64_2369 div-inv_binary64_2433 associate-/r*_binary64_2382 clear-num_binary64_2435 div-sub_binary64_2441 frac-2neg_binary64_2447 associate-*l*_binary64_2379
Counts
4 → 73
Calls

4 calls:

12.0ms
(/.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)
4.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))

series441.0ms (11.1%)

Counts
4 → 12
Calls

4 calls:

215.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
130.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
64.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
32.0ms
(*.f64 (*.f64 3 a) c)

simplify54.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049251807
149251807

prune130.0ms (3.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New711485
Fresh000
Picked101
Done000
Total721486

Merged error: 4.6b

Counts
86 → 14
Compiler

Compiled 2353 to 1439 computations (38.8% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune19.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 4.6b

Counts
14 → 14
Compiler

Compiled 439 to 309 computations (29.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 a c) b)
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite30.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_2471 add-cbrt-cube_binary64_2469
17×prod-exp_binary64_2482 cbrt-unprod_binary64_2466
16×cbrt-undiv_binary64_2467 div-exp_binary64_2484
10×add-sqr-sqrt_binary64_2457
8×add-cube-cbrt_binary64_2468 *-un-lft-identity_binary64_2436
7×associate-*r*_binary64_2378 times-frac_binary64_2442
5×pow1_binary64_2494
4×associate-/r*_binary64_2382
3×div-inv_binary64_2433 add-log-exp_binary64_2472 associate-*l*_binary64_2379
2×associate-/l*_binary64_2383 associate-*r/_binary64_2380 clear-num_binary64_2435 frac-2neg_binary64_2447
1×*-commutative_binary64_2369 pow-prod-down_binary64_2504 unswap-sqr_binary64_2404 associate-/l/_binary64_2385
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)

series120.0ms (3%)

Counts
3 → 9
Calls

3 calls:

43.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
40.0ms
(/.f64 (*.f64 a c) b)
37.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify62.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05045877

prune102.0ms (2.6%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New711687
Fresh01212
Picked101
Done101
Total7328101

Merged error: 4.6b

Counts
101 → 28
Compiler

Compiled 1729 to 1035 computations (40.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (*.f64 -3/2 a) (/.f64 c b))
0.4b
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))

rewrite27.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
55×add-exp-log_binary64_2471 add-cbrt-cube_binary64_2469
23×prod-exp_binary64_2482 cbrt-unprod_binary64_2466
16×cbrt-undiv_binary64_2467 div-exp_binary64_2484
13×associate-*r*_binary64_2378
10×times-frac_binary64_2442
9×add-sqr-sqrt_binary64_2457 add-cube-cbrt_binary64_2468 *-un-lft-identity_binary64_2436
7×pow1_binary64_2494
3×pow-prod-down_binary64_2504
2×div-inv_binary64_2433 add-log-exp_binary64_2472 associate-*r/_binary64_2380
1×*-commutative_binary64_2369 associate-/l*_binary64_2383 associate-/r*_binary64_2382 clear-num_binary64_2435 frac-2neg_binary64_2447 associate-/l/_binary64_2385 associate-*l*_binary64_2379
Counts
2 → 67
Calls

2 calls:

10.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))
8.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))

series79.0ms (2%)

Counts
2 → 6
Calls

2 calls:

43.0ms
(*.f64 (*.f64 -3/2 a) (/.f64 c b))
36.0ms
(/.f64 (*.f64 (*.f64 -3/2 a) (/.f64 c b)) (*.f64 3 a))

simplify78.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04936781
14936781

prune53.0ms (1.3%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New66773
Fresh42327
Picked011
Done000
Total7031101

Merged error: 4.5b

Counts
101 → 31
Compiler

Compiled 860 to 486 computations (43.5% saved)

regimes298.0ms (7.5%)

Compiler

Compiled 3213 to 2383 computations (25.8% saved)

bsearch10.0ms (0.2%)

Steps
ItersRangePoint
1
9.425422463820402e-06
1.0147721585774337e-05
9.967146805285853e-06
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08667
18667

end0.0ms (0%)

sample1.7s (42.1%)

Algorithm
1×intervals
Results
285.0ms2991×body256valid
268.0ms8855×pre128true
246.0ms5007×body128valid
39.0ms855×body128nan
0.0ms2×body512valid
Compiler

Compiled 803 to 591 computations (26.4% saved)

Profiling

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