Details

Time bar (total: 6.5s)

analyze509.0ms (7.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023548
123548
033
133
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 (0.6%)

Algorithm
intervals
Results
10.0ms47×body1024valid
9.0ms172×body128valid
3.0ms22×body512valid
2.0ms15×body256valid
1.0ms13×body128invalid
0.0msbody512invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify8.0ms (0.1%)

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
3.3b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (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)
3.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite95.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
26×add-sqr-sqrt_binary64_14763
22×times-frac_binary64_14747
21×add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
19×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
13×associate-*r*_binary64_14681
div-exp_binary64_14792 cbrt-undiv_binary64_14775 associate-/r*_binary64_14685
pow1_binary64_14802
prod-exp_binary64_14790 cbrt-unprod_binary64_14774 associate-/l*_binary64_14686
add-log-exp_binary64_14780 div-inv_binary64_14738 associate-*l*_binary64_14682
frac-2neg_binary64_14752 clear-num_binary64_14740 associate-*r/_binary64_14683 unswap-sqr_binary64_14709
associate-/l/_binary64_14688 pow-prod-down_binary64_14812 *-commutative_binary64_14672
Counts
3 → 83
Calls

3 calls:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
(/.f64 (sin.f64 y) y)
6.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 1235 to 325 computations (73.7% saved)

series378.0ms (5.8%)

Error
0.1b
Counts
3 → 27
Calls

3 calls:

221.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
102.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
34.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify73.0ms (1.1%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049491443
149491443

prune85.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Compiled 1485 to 440 computations (70.4% saved)

localize9.0ms (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)
2.7b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite276.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
480×times-frac_binary64_14747
238×add-cube-cbrt_binary64_14776 add-sqr-sqrt_binary64_14763 *-un-lft-identity_binary64_14741
60×associate-/r*_binary64_14685
23×div-inv_binary64_14738
19×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
10×div-exp_binary64_14792 cbrt-undiv_binary64_14775
associate-/l*_binary64_14686
associate-/r/_binary64_14687
pow1_binary64_14802 add-log-exp_binary64_14780 frac-2neg_binary64_14752 clear-num_binary64_14740
Counts
3 → 293
Calls

3 calls:

13.0ms
(/.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)

series374.0ms (5.8%)

Error
0.0b
Counts
3 → 27
Calls

3 calls:

213.0ms
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
119.0ms
(/.f64 z (/.f64 (sin.f64 y) y))
28.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 736 to 510 computations (30.7% saved)

simplify138.0ms (2.1%)

Algorithm
egg-herbie
Counts
320 → 320
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049787674
149787674

prune215.0ms (3.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Compiled 5895 to 1007 computations (82.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
2.9b
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

rewrite69.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×add-sqr-sqrt_binary64_14763
31×times-frac_binary64_14747
24×add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741
16×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
13×associate-*l*_binary64_14682 associate-*r*_binary64_14681
div-exp_binary64_14792 cbrt-undiv_binary64_14775
pow1_binary64_14802 prod-exp_binary64_14790 cbrt-unprod_binary64_14774 unswap-sqr_binary64_14709
div-inv_binary64_14738 associate-/l*_binary64_14686 associate-/r*_binary64_14685
add-log-exp_binary64_14780
pow-prod-down_binary64_14812 frac-times_binary64_14751 associate-*l/_binary64_14684 associate-*r/_binary64_14683 *-commutative_binary64_14672 frac-2neg_binary64_14752 clear-num_binary64_14740
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)

series257.0ms (4%)

Error
0b
Counts
2 → 18
Calls

2 calls:

217.0ms
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
30.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 496 to 342 computations (31% saved)

simplify57.0ms (0.9%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049751388
149751388

prune59.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Compiled 1364 to 335 computations (75.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.4b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
4.7b
(/.f64 (sin.f64 y) (*.f64 y z))

rewrite44.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×add-exp-log_binary64_14779 add-cbrt-cube_binary64_14777
add-sqr-sqrt_binary64_14763
add-cube-cbrt_binary64_14776 *-un-lft-identity_binary64_14741 associate-*r*_binary64_14681
times-frac_binary64_14747
prod-exp_binary64_14790 cbrt-unprod_binary64_14774
pow1_binary64_14802 div-exp_binary64_14792 cbrt-undiv_binary64_14775
associate-/l*_binary64_14686 associate-*l*_binary64_14682
add-log-exp_binary64_14780 div-inv_binary64_14738
frac-2neg_binary64_14752 clear-num_binary64_14740 associate-/r*_binary64_14685 pow-prod-down_binary64_14812 unswap-sqr_binary64_14709 associate-*r/_binary64_14683 *-commutative_binary64_14672
Counts
2 → 48
Calls

2 calls:

7.0ms
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
5.0ms
(/.f64 (sin.f64 y) (*.f64 y z))
Compiler

Compiled 710 to 161 computations (77.3% saved)

series327.0ms (5%)

Error
0b
Counts
2 → 21
Calls

2 calls:

215.0ms
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
100.0ms
(/.f64 (sin.f64 y) (*.f64 y z))
Compiler

Compiled 592 to 400 computations (32.4% saved)

simplify78.0ms (1.2%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04972958
14972958

prune39.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh145
Picked011
Done011
Total69776
Error
0b
Counts
76 → 7
Compiler

Compiled 841 to 211 computations (74.9% saved)

regimes923.0ms (14.2%)

Accuracy

Total 1.4b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 7526 to 5048 computations (32.9% 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
02769
12769

end0.0ms (0%)

sample2.4s (37.3%)

Algorithm
intervals
Results
287.0ms5423×body128valid
282.0ms1327×body1024valid
133.0ms827×body512valid
43.0ms421×body256valid
27.0ms508×body128invalid
14.0ms58×body512invalid
6.0ms29×body1024invalid
5.0ms49×body256invalid
1.0msbody2048valid
Compiler

Compiled 1294 to 862 computations (33.4% saved)

Profiling

Loading profile data...