Details

Time bar (total: 8.5s)

analyze408.0ms (4.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample36.0ms (0.4%)

Algorithm
intervals
Results
11.0ms54×body1024valid
8.0ms168×body128valid
3.0ms24×body512valid
1.0ms10×body256valid
1.0ms14×body128invalid
0.0msbody512invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify100.0ms (1.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
06812
16812

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.8b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
2.7b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite98.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-sqr-sqrt_binary64_15445
22×times-frac_binary64_15429
21×add-cube-cbrt_binary64_15458 *-un-lft-identity_binary64_15423
19×add-exp-log_binary64_15461 add-cbrt-cube_binary64_15459
13×associate-*r*_binary64_15363
div-exp_binary64_15474 cbrt-undiv_binary64_15457 associate-/r*_binary64_15367
pow1_binary64_15484
prod-exp_binary64_15472 cbrt-unprod_binary64_15456 associate-/l*_binary64_15368
add-log-exp_binary64_15462 div-inv_binary64_15420 associate-*l*_binary64_15364
frac-2neg_binary64_15434 clear-num_binary64_15422 associate-*r/_binary64_15365 unswap-sqr_binary64_15391
associate-/l/_binary64_15370 pow-prod-down_binary64_15494 *-commutative_binary64_15354
Counts
3 → 83
Calls

3 calls:

8.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1235 to 325 computations (73.7% saved)

series375.0ms (4.4%)

Error
0.1b
Counts
3 → 27
Calls

3 calls:

215.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
112.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
29.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify78.0ms (0.9%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049491443
149491443

prune88.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1019110
Fresh000
Picked101
Done000
Total1029111
Error
0.0b
Counts
111 → 9
Compiler

Compiled 1491 to 445 computations (70.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 z (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
2.2b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite279.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
480×times-frac_binary64_15429
238×add-cube-cbrt_binary64_15458 add-sqr-sqrt_binary64_15445 *-un-lft-identity_binary64_15423
60×associate-/r*_binary64_15367
23×div-inv_binary64_15420
19×add-exp-log_binary64_15461 add-cbrt-cube_binary64_15459
10×div-exp_binary64_15474 cbrt-undiv_binary64_15457
associate-/l*_binary64_15368
associate-/r/_binary64_15369
pow1_binary64_15484 add-log-exp_binary64_15462 frac-2neg_binary64_15434 clear-num_binary64_15422
Counts
3 → 293
Calls

3 calls:

12.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
6.0ms
(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 6084 to 1368 computations (77.5% saved)

series365.0ms (4.3%)

Error
0.0b
Counts
3 → 27
Calls

3 calls:

194.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
121.0ms
(/.f64 z (/.f64 (sin.f64 y) y))
32.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify137.0ms (1.6%)

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049787674
149787674

prune227.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3164320
Fresh538
Picked101
Done000
Total3227329
Error
0b
Counts
329 → 7
Compiler

Compiled 5880 to 1008 computations (82.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
2.5b
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

rewrite70.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×add-sqr-sqrt_binary64_15445
31×times-frac_binary64_15429
24×add-cube-cbrt_binary64_15458 *-un-lft-identity_binary64_15423
16×add-exp-log_binary64_15461 add-cbrt-cube_binary64_15459
13×associate-*l*_binary64_15364 associate-*r*_binary64_15363
div-exp_binary64_15474 cbrt-undiv_binary64_15457
pow1_binary64_15484 prod-exp_binary64_15472 cbrt-unprod_binary64_15456 unswap-sqr_binary64_15391
div-inv_binary64_15420 associate-/l*_binary64_15368 associate-/r*_binary64_15367
add-log-exp_binary64_15462
pow-prod-down_binary64_15494 frac-times_binary64_15433 associate-*l/_binary64_15366 associate-*r/_binary64_15365 *-commutative_binary64_15354 frac-2neg_binary64_15434 clear-num_binary64_15422
Counts
2 → 77
Calls

2 calls:

11.0ms
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1214 to 276 computations (77.3% saved)

series274.0ms (3.2%)

Error
0b
Counts
2 → 18
Calls

2 calls:

229.0ms
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
32.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 496 to 342 computations (31% saved)

simplify60.0ms (0.7%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049751388
149751388

prune62.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New95095
Fresh066
Picked011
Done000
Total957102
Error
0b
Counts
102 → 7
Compiler

Compiled 1349 to 336 computations (75.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
0.2b
(/.f64 1 (/.f64 (sin.f64 y) y))
2.5b
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))

rewrite1.4s (16.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
1985×times-frac_binary64_15429
858×add-cube-cbrt_binary64_15458 add-sqr-sqrt_binary64_15445 *-un-lft-identity_binary64_15423
108×div-inv_binary64_15420
61×add-exp-log_binary64_15461
60×associate-/r*_binary64_15367
43×div-exp_binary64_15474
31×add-cbrt-cube_binary64_15459
19×cbrt-undiv_binary64_15457 associate-/l*_binary64_15368
16×associate-/r/_binary64_15369
1-exp_binary64_15467 rec-exp_binary64_15473
pow1_binary64_15484
add-log-exp_binary64_15462 frac-2neg_binary64_15434 clear-num_binary64_15422
associate-/l/_binary64_15370 inv-pow_binary64_15508 pow-flip_binary64_15497
Counts
3 → 764
Calls

3 calls:

25.0ms
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
6.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 20713 to 7823 computations (62.2% saved)

series289.0ms (3.4%)

Error
0b
Counts
3 → 24
Calls

3 calls:

205.0ms
(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
41.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))
28.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 684 to 493 computations (27.9% saved)

simplify296.0ms (3.5%)

Algorithm
egg-herbie
Counts
788 → 788
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0498025320
1498025320

prune670.0ms (7.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New7880788
Fresh055
Picked011
Done011
Total7887795
Error
0b
Counts
795 → 7
Compiler

Compiled 17478 to 3926 computations (77.5% saved)

regimes1.0s (11.9%)

Accuracy

Total 1.4b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 6991 to 4939 computations (29.4% saved)

bsearch3.0ms (0%)

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01938
11938

end0.0ms (0%)

sample2.1s (24.9%)

Algorithm
intervals
Results
299.0ms5501×body128valid
288.0ms1314×body1024valid
121.0ms797×body512valid
46.0ms386×body256valid
28.0ms536×body128invalid
7.0ms51×body512invalid
5.0ms23×body1024invalid
4.0ms40×body256invalid
1.0msbody2048valid
Compiler

Compiled 1094 to 771 computations (29.5% saved)

Profiling

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