Details

Time bar (total: 4.6s)

analyze480.0ms (10.3%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0493796
1493796
033
133
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)

sample40.0ms (0.9%)

Algorithm
1×intervals
Results
12.0ms104×body256valid
9.0ms285×pre128true
8.0ms152×body128valid
1.0ms29×body128nan
Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify283.0ms (6.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (278.0ms)

IterNodesCost
0180224
1180224

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
45.1b
Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
38.6b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite37.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_2487
14×*-un-lft-identity_binary64_2465 add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
9×pow1_binary64_2526
8×add-log-exp_binary64_2504 add-cube-cbrt_binary64_2500
6×difference-of-squares_binary64_2434 times-frac_binary64_2471 associate-/l*_binary64_2410
4×cancel-sign-sub-inv_binary64_2431 prod-exp_binary64_2514 cbrt-unprod_binary64_2498
3×sqrt-prod_binary64_2481 flip--_binary64_2440 distribute-lft-out--_binary64_2417 associate-*r*_binary64_2405 pow-prod-down_binary64_2536 flip3--_binary64_2469
2×associate-/l/_binary64_2412 cbrt-undiv_binary64_2499 sub-neg_binary64_2458 div-exp_binary64_2516 diff-log_binary64_2557
1×*-commutative_binary64_2396 associate-/r*_binary64_2409 clear-num_binary64_2464 div-sub_binary64_2470 div-inv_binary64_2462 frac-2neg_binary64_2476 associate-*l*_binary64_2406
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))
8.0ms
(-.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))

series229.0ms (4.9%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
71.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)
35.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
15.0ms
(*.f64 (*.f64 3 a) c)

simplify59.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051801823

prune137.0ms (3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390
Error
5.1b
Counts
90 → 13
Compiler

Compiled 2357 to 1429 computations (39.4% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune17.0ms (0.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313
Error
5.1b
Counts
13 → 13
Compiler

Compiled 376 to 263 computations (30.1% saved)

localize8.0ms (0.2%)

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

rewrite26.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
17×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
16×cbrt-undiv_binary64_2499 div-exp_binary64_2516
10×add-sqr-sqrt_binary64_2487
8×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500
7×times-frac_binary64_2471 associate-*r*_binary64_2405
5×pow1_binary64_2526
4×associate-/r*_binary64_2409
3×add-log-exp_binary64_2504 div-inv_binary64_2462 associate-*l*_binary64_2406
2×associate-*r/_binary64_2407 clear-num_binary64_2464 frac-2neg_binary64_2476 associate-/l*_binary64_2410
1×*-commutative_binary64_2396 associate-/l/_binary64_2412 unswap-sqr_binary64_2433 pow-prod-down_binary64_2536
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.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)

series67.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

27.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
20.0ms
(/.f64 (*.f64 a c) b)
19.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify51.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04962874
14962874

prune96.0ms (2.1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New731487
Fresh11011
Picked101
Done011
Total7525100
Error
5.1b
Counts
100 → 25
Compiler

Compiled 1624 to 949 computations (41.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 a (/.f64 c b))
0.3b
(*.f64 -3/2 (*.f64 a (/.f64 c b)))
0.3b
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))

rewrite30.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
49×add-exp-log_binary64_2503 add-cbrt-cube_binary64_2501
21×prod-exp_binary64_2514 cbrt-unprod_binary64_2498
17×add-sqr-sqrt_binary64_2487
14×associate-*r*_binary64_2405
12×*-un-lft-identity_binary64_2465 add-cube-cbrt_binary64_2500 cbrt-undiv_binary64_2499 div-exp_binary64_2516
11×times-frac_binary64_2471
10×pow1_binary64_2526
6×associate-*l*_binary64_2406
5×associate-*r/_binary64_2407
4×pow-prod-down_binary64_2536
3×add-log-exp_binary64_2504
2×*-commutative_binary64_2396 unswap-sqr_binary64_2433 div-inv_binary64_2462
1×associate-/r*_binary64_2409 associate-/l/_binary64_2412 clear-num_binary64_2464 frac-2neg_binary64_2476 associate-/l*_binary64_2410
Counts
3 → 83
Calls

3 calls:

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

series64.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

25.0ms
(*.f64 -3/2 (*.f64 a (/.f64 c b)))
20.0ms
(*.f64 a (/.f64 c b))
19.0ms
(/.f64 (*.f64 -3/2 (*.f64 a (/.f64 c b))) (*.f64 3 a))

simplify95.0ms (2%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04951919
14951919

prune67.0ms (1.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

PrunedKeptTotal
New85792
Fresh61723
Picked011
Done011
Total9126117
Error
5.1b
Counts
117 → 26
Compiler

Compiled 1164 to 596 computations (48.8% saved)

regimes598.0ms (12.9%)

Accuracy

Total 4.6b remaining (47.6%)

Threshold costs 0b (0%)

Compiler

Compiled 6666 to 4946 computations (25.8% saved)

bsearch3.0ms (0.1%)

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08781
18781

end0.0ms (0%)

sample2.2s (47.7%)

Algorithm
1×intervals
Results
284.0ms2989×body256valid
271.0ms8871×pre128true
255.0ms5011×body128valid
42.0ms871×body128nan
Compiler

Compiled 1408 to 1039 computations (26.2% saved)

Profiling

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