Time bar (total: 13.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 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 |
| 0% | 99.9% | 0.1% | 7 |
| 25% | 74.9% | 0.1% | 8 |
| 54.6% | 45.2% | 0.1% | 9 |
| 56.2% | 43.7% | 0.1% | 10 |
| 62.4% | 37.4% | 0.1% | 11 |
| 65.9% | 33.9% | 0.1% | 12 |
| 66.3% | 33.5% | 0.1% | 13 |
| 69% | 30.8% | 0.1% | 14 |
Compiled 17 to 15 computations (11.8% saved)
| 1× | intervals |
| 114.0ms | 142× | body | 1024 | valid |
| 23.0ms | 50× | body | 512 | valid |
| 6.0ms | 44× | body | 128 | valid |
| 6.0ms | 20× | body | 256 | valid |
Compiled 33 to 32 computations (3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (80.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5169 | 26 |
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
Merged error: 3.3b
Compiled 32 to 28 computations (12.5% saved)
Found 4 expressions with local error:
| 0.2b | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
| 0.2b | (pow.f64 (sin.f64 ky) 2) |
| 0.3b | (pow.f64 (sin.f64 kx) 2) |
| 3.0b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | rewrite-expression-head |
| 41× | *-un-lft-identity_binary64 |
| 34× | add-sqr-sqrt_binary64 |
| 30× | associate-*l*_binary64 |
| 26× | times-frac_binary64 |
| 25× | add-cube-cbrt_binary64 |
| 21× | sqrt-prod_binary64 |
| 14× | unpow-prod-down_binary64 |
| 11× | add-exp-log_binary64 |
| 9× | pow1_binary64 add-cbrt-cube_binary64 |
| 8× | distribute-lft-out_binary64 |
| 6× | pow-unpow_binary64 |
| 4× | add-log-exp_binary64 sqrt-div_binary64 |
| 3× | associate-*r*_binary64 unswap-sqr_binary64 |
| 2× | pow-to-exp_binary64 flip3-+_binary64 cbrt-unprod_binary64 unpow2_binary64 pow-pow_binary64 sqr-pow_binary64 associate-/r/_binary64 prod-exp_binary64 flip-+_binary64 pow-exp_binary64 |
| 1× | pow-prod-down_binary64 pow1/2_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64 *-commutative_binary64 |
4 calls:
| 21.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0ms | (pow.f64 (sin.f64 kx) 2) |
| 3.0ms | (pow.f64 (sin.f64 ky) 2) |
4 calls:
| 406.0ms | (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sin.f64 th)) |
| 172.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 25.0ms | (pow.f64 (sin.f64 ky) 2) |
| 25.0ms | (pow.f64 (sin.f64 kx) 2) |
| 1× | egg-herbie |
Useful iterations: 0 (51.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5012 | 2288 |
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 103 | 12 | 115 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 103 | 13 | 116 |
Merged error: 2.3b
Compiled 14271 to 10562 computations (26% saved)
Found 4 expressions with local error:
| 0.3b | (pow.f64 (sin.f64 kx) 2) |
| 0.5b | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 3.0b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | rewrite-expression-head |
| 104× | sqrt-prod_binary64 |
| 60× | add-sqr-sqrt_binary64 |
| 50× | *-un-lft-identity_binary64 |
| 34× | sqrt-pow1_binary64 |
| 30× | pow1_binary64 |
| 28× | sqrt-div_binary64 |
| 20× | add-cube-cbrt_binary64 |
| 19× | swap-sqr_binary64 |
| 18× | pow1/2_binary64 |
| 15× | unpow-prod-down_binary64 |
| 14× | distribute-lft-out_binary64 |
| 11× | associate-*r*_binary64 associate-*l*_binary64 |
| 10× | rem-sqrt-square_binary64 |
| 9× | pow-prod-up_binary64 unswap-sqr_binary64 |
| 8× | flip3-+_binary64 flip-+_binary64 |
| 7× | add-exp-log_binary64 |
| 6× | add-cbrt-cube_binary64 |
| 5× | pow-prod-down_binary64 pow-sqr_binary64 |
| 4× | add-log-exp_binary64 sqr-abs_binary64 frac-times_binary64 |
| 3× | pow-unpow_binary64 |
| 2× | associate-*r/_binary64 associate-*l/_binary64 |
| 1× | pow-to-exp_binary64 cbrt-unprod_binary64 unpow2_binary64 rem-square-sqrt_binary64 pow-pow_binary64 sqr-pow_binary64 pow-plus_binary64 sqrt-unprod_binary64 prod-exp_binary64 pow-exp_binary64 pow2_binary64 *-commutative_binary64 |
4 calls:
| 33.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0ms | (pow.f64 (sin.f64 kx) 2) |
4 calls:
| 176.0ms | (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 148.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 145.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 26.0ms | (pow.f64 (sin.f64 kx) 2) |
| 1× | egg-herbie |
Useful iterations: 0 (65.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4942 | 3097 |
| 1 | 4942 | 3097 |
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 0 | 159 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 159 | 13 | 172 |
Merged error: 2.3b
Compiled 5374 to 3340 computations (37.8% saved)
Found 4 expressions with local error:
| 0.4b | (*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) |
| 3.0b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0b | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | rewrite-expression-head |
| 168× | cbrt-prod_binary64 |
| 157× | *-un-lft-identity_binary64 |
| 142× | add-sqr-sqrt_binary64 |
| 136× | times-frac_binary64 |
| 101× | sqrt-prod_binary64 |
| 79× | add-cube-cbrt_binary64 |
| 45× | swap-sqr_binary64 |
| 36× | distribute-lft-out_binary64 |
| 33× | associate-*r*_binary64 associate-*l*_binary64 |
| 30× | unpow-prod-down_binary64 |
| 16× | unswap-sqr_binary64 |
| 14× | pow1_binary64 sqrt-div_binary64 |
| 8× | associate-/r/_binary64 |
| 7× | flip3-+_binary64 flip-+_binary64 |
| 6× | pow1/3_binary64 add-exp-log_binary64 |
| 4× | cbrt-div_binary64 add-log-exp_binary64 add-cbrt-cube_binary64 div-inv_binary64 |
| 3× | pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 |
| 2× | pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64 |
| 1× | cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64 |
4 calls:
| 60.0ms | (*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 10.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
4 calls:
| 448.0ms | (*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) (cbrt.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))) |
| 169.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 163.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 153.0ms | (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (63.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5066 | 10008 |
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 0 | 211 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 211 | 13 | 224 |
Merged error: 2.3b
Compiled 12750 to 7435 computations (41.7% saved)
Found 4 expressions with local error:
| 0.3b | (pow.f64 (sin.f64 kx) 2) |
| 0.3b | (*.f64 (fabs.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 3.5b | (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.5b | (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 1× | rewrite-expression-head |
| 24× | *-un-lft-identity_binary64 |
| 18× | add-sqr-sqrt_binary64 |
| 16× | cbrt-prod_binary64 |
| 12× | add-cube-cbrt_binary64 |
| 11× | associate-*r*_binary64 |
| 10× | sqrt-prod_binary64 |
| 9× | unpow-prod-down_binary64 |
| 7× | pow1_binary64 add-exp-log_binary64 |
| 6× | cbrt-div_binary64 distribute-lft-out_binary64 add-cbrt-cube_binary64 |
| 4× | add-log-exp_binary64 |
| 3× | flip3-+_binary64 pow-unpow_binary64 associate-*l*_binary64 unswap-sqr_binary64 flip-+_binary64 |
| 2× | associate-*r/_binary64 pow1/3_binary64 sqrt-div_binary64 |
| 1× | pow-to-exp_binary64 pow-prod-down_binary64 cbrt-unprod_binary64 unpow2_binary64 pow-pow_binary64 sqr-pow_binary64 prod-exp_binary64 pow-exp_binary64 *-commutative_binary64 |
4 calls:
| 18.0ms | (*.f64 (fabs.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 10.0ms | (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 10.0ms | (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 3.0ms | (pow.f64 (sin.f64 kx) 2) |
4 calls:
| 286.0ms | (*.f64 (fabs.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))) |
| 216.0ms | (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 211.0ms | (cbrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))) |
| 24.0ms | (pow.f64 (sin.f64 kx) 2) |
| 1× | egg-herbie |
Useful iterations: 0 (55.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4933 | 2396 |
| 1 | 4933 | 2396 |
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 90 | 0 | 90 |
| Fresh | 0 | 9 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 90 | 13 | 103 |
Merged error: 2.3b
Compiled 3316 to 2046 computations (38.3% saved)
Compiled 3063 to 2473 computations (19.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 26 |
| 1 | 16 | 26 |
| 1× | intervals |
| 3.8s | 4672× | body | 1024 | valid |
| 682.0ms | 1390× | body | 512 | valid |
| 195.0ms | 1437× | body | 128 | valid |
| 144.0ms | 493× | body | 256 | valid |
| 15.0ms | 8× | body | 2048 | valid |
Compiled 364 to 295 computations (19% saved)
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