Time bar (total: 1.9min)
| 1× | search |
| 2× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4804 | 115 |
| 1 | 4804 | 115 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 74.9% | 25.1% | 0 |
| 0% | 74.9% | 25.1% | 1 |
| 0% | 74.9% | 25.1% | 2 |
| 18.7% | 56.2% | 25.1% | 3 |
| 37.5% | 37.5% | 25.1% | 4 |
| 42.1% | 32.8% | 25.1% | 5 |
| 46.8% | 28.1% | 25.1% | 6 |
| 48% | 26.9% | 25.1% | 7 |
| 49.2% | 25.8% | 25.1% | 8 |
| 49.5% | 25.5% | 25.1% | 9 |
| 49.8% | 25.2% | 25.1% | 10 |
| 49.8% | 25.2% | 25.1% | 11 |
| 49.8% | 25.1% | 25.1% | 12 |
| 49.9% | 25% | 25.1% | 13 |
| 49.9% | 25% | 25.1% | 14 |
Compiled 126 to 112 computations (11.1% saved)
| 1× | intervals |
| 2.9s | 136× | body | 8192 | exit |
| 158.0ms | 256× | body | 128 | valid |
| 13.0ms | 392× | pre | 128 | true |
Compiled 249 to 223 computations (10.4% saved)
| 1× | egg-herbie |
Useful iterations: 0 (82.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4804 | 115 |
| 1 | 4804 | 115 |
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 |
Compiled 271 to 232 computations (14.4% saved)
Found 4 expressions with local error:
| 1.0b | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 2.6b | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 19× | *-un-lft-identity_binary64_1783 |
| 18× | add-log-exp_binary64_1822 |
| 10× | add-exp-log_binary64_1821 |
| 9× | add-cbrt-cube_binary64_1819 distribute-lft-out_binary64_1734 sum-log_binary64_1874 pow1_binary64_1844 |
| 8× | frac-add_binary64_1791 |
| 7× | prod-exp_binary64_1832 |
| 5× | add-sqr-sqrt_binary64_1805 add-cube-cbrt_binary64_1818 flip-+_binary64_1757 flip3-+_binary64_1786 |
| 4× | associate-*r*_binary64_1723 |
| 3× | cbrt-unprod_binary64_1816 |
| 2× | +-commutative_binary64_1713 associate-+l+_binary64_1716 sqrt-pow1_binary64_1801 pow-prod-down_binary64_1854 |
| 1× | associate-*r/_binary64_1725 exp-sum_binary64_1829 pow-sub_binary64_1859 pow1/2_binary64_1863 associate-*l*_binary64_1724 associate-*l/_binary64_1726 sqrt-prod_binary64_1799 *-commutative_binary64_1714 pow-to-exp_binary64_1852 pow-exp_binary64_1851 |
4 calls:
| 65.0ms | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 48.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 31.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 4.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
4 calls:
| 353.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 91.0ms | (+.f64 (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) (/.f64 848079078717083/1099511627776 (-.f64 3 z))) |
| 72.0ms | (+.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (/.f64 -5537752839100187/4398046511104 (-.f64 2 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 2052 to 1704 computations (17% saved)
| 1× | egg-herbie |
Useful iterations: 0 (63.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5563 | 2799 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 83 | 7 | 90 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 85 | 7 | 92 |
Compiled 7991 to 6169 computations (22.8% saved)
Found 4 expressions with local error:
| 1.0b | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 1.0b | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 (*.f64 PI.f64 2)) |
| 3.1b | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 183× | times-frac_binary64_1789 |
| 162× | *-un-lft-identity_binary64_1783 |
| 156× | add-sqr-sqrt_binary64_1805 |
| 111× | cancel-sign-sub-inv_binary64_1749 |
| 76× | add-cube-cbrt_binary64_1818 |
| 39× | difference-of-squares_binary64_1752 |
| 36× | distribute-lft-out--_binary64_1735 |
| 16× | pow1_binary64_1844 |
| 12× | associate-/r/_binary64_1729 add-exp-log_binary64_1821 flip-+_binary64_1757 flip3-+_binary64_1786 |
| 11× | add-cbrt-cube_binary64_1819 |
| 8× | prod-exp_binary64_1832 frac-sub_binary64_1792 frac-times_binary64_1793 associate-*r*_binary64_1723 |
| 7× | flip3--_binary64_1787 flip--_binary64_1758 |
| 6× | swap-sqr_binary64_1750 distribute-lft-out_binary64_1734 div-inv_binary64_1780 add-log-exp_binary64_1822 |
| 5× | associate-*r/_binary64_1725 associate-*l*_binary64_1724 associate-*l/_binary64_1726 |
| 4× | cbrt-unprod_binary64_1816 |
| 3× | pow-prod-down_binary64_1854 |
| 2× | distribute-lft-in_binary64_1732 *-commutative_binary64_1714 distribute-rgt-in_binary64_1733 sqrt-pow1_binary64_1801 associate--l+_binary64_1720 |
| 1× | exp-sum_binary64_1829 pow-sub_binary64_1859 pow-plus_binary64_1846 pow-prod-up_binary64_1853 pow1/2_binary64_1863 sqrt-prod_binary64_1799 diff-log_binary64_1875 pow-sqr_binary64_1756 unswap-sqr_binary64_1751 pow-to-exp_binary64_1852 sub-neg_binary64_1776 pow-exp_binary64_1851 pow2_binary64_1864 |
4 calls:
| 117.0ms | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 47.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 29.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 4.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
4 calls:
| 351.0ms | (*.f64 (*.f64 (sqrt.f64 (*.f64 PI.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 121.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 115.0ms | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 0.0ms | (sqrt.f64 (*.f64 PI.f64 2)) |
Compiled 3068 to 2556 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (85.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4940 | 7481 |
| 1 | 4940 | 7481 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 227 | 4 | 231 |
| Fresh | 4 | 2 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 231 | 7 | 238 |
Compiled 25965 to 20406 computations (21.4% saved)
Found 4 expressions with local error:
| 1.0b | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 1.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 PI.f64) |
| 3.1b | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 1× | rewrite-expression-head |
| 183× | times-frac_binary64_1789 |
| 163× | *-un-lft-identity_binary64_1783 |
| 158× | add-sqr-sqrt_binary64_1805 |
| 111× | cancel-sign-sub-inv_binary64_1749 |
| 77× | add-cube-cbrt_binary64_1818 |
| 39× | difference-of-squares_binary64_1752 |
| 36× | distribute-lft-out--_binary64_1735 |
| 20× | add-exp-log_binary64_1821 |
| 17× | prod-exp_binary64_1832 |
| 15× | add-cbrt-cube_binary64_1819 |
| 14× | pow1_binary64_1844 |
| 12× | associate-/r/_binary64_1729 flip-+_binary64_1757 flip3-+_binary64_1786 |
| 8× | frac-sub_binary64_1792 frac-times_binary64_1793 associate-*r*_binary64_1723 |
| 7× | flip3--_binary64_1787 cbrt-unprod_binary64_1816 flip--_binary64_1758 |
| 6× | swap-sqr_binary64_1750 distribute-lft-out_binary64_1734 div-inv_binary64_1780 add-log-exp_binary64_1822 |
| 5× | associate-*r/_binary64_1725 associate-*l*_binary64_1724 associate-*l/_binary64_1726 |
| 3× | sqrt-prod_binary64_1799 |
| 2× | distribute-lft-in_binary64_1732 *-commutative_binary64_1714 distribute-rgt-in_binary64_1733 pow-prod-down_binary64_1854 associate--l+_binary64_1720 pow-to-exp_binary64_1852 pow-exp_binary64_1851 |
| 1× | exp-sum_binary64_1829 pow-sub_binary64_1859 pow-plus_binary64_1846 pow-prod-up_binary64_1853 pow1/2_binary64_1863 diff-log_binary64_1875 pow-sqr_binary64_1756 sqrt-pow1_binary64_1801 unswap-sqr_binary64_1751 rem-sqrt-square_binary64_1796 sub-neg_binary64_1776 pow2_binary64_1864 |
4 calls:
| 125.0ms | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 50.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 37.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 3.0ms | (sqrt.f64 PI.f64) |
4 calls:
| 360.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 131.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 120.0ms | (-.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (/.f64 (/.f64 30666706506962181608371823434969/19342813113834066795298816 (-.f64 2 z)) (-.f64 2 z))) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 3090 to 2578 computations (16.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (100.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4932 | 7646 |
| 1 | 4932 | 7646 |
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 235 | 2 | 237 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 239 | 5 | 244 |
Compiled 26626 to 20724 computations (22.2% saved)
Found 4 expressions with local error:
| 1.0b | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 1.0b | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 1.0b | (sqrt.f64 PI.f64) |
| 3.1b | (+.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (*.f64 (/.f64 -30666706506962181608371823434969/19342813113834066795298816 (-.f64 4 (*.f64 z z))) (/.f64 (+.f64 z 2) (-.f64 2 z)))) |
| 1× | rewrite-expression-head |
| 25× | flip-+_binary64_1757 flip3-+_binary64_1786 |
| 24× | frac-add_binary64_1791 *-un-lft-identity_binary64_1783 frac-times_binary64_1793 |
| 20× | add-exp-log_binary64_1821 |
| 17× | associate-*r/_binary64_1725 prod-exp_binary64_1832 associate-*l/_binary64_1726 |
| 15× | add-cbrt-cube_binary64_1819 |
| 14× | pow1_binary64_1844 |
| 13× | add-sqr-sqrt_binary64_1805 |
| 10× | add-cube-cbrt_binary64_1818 |
| 8× | associate-*r*_binary64_1723 |
| 7× | cbrt-unprod_binary64_1816 |
| 6× | swap-sqr_binary64_1750 distribute-lft-out_binary64_1734 add-log-exp_binary64_1822 |
| 5× | associate-*l*_binary64_1724 |
| 3× | sqrt-prod_binary64_1799 |
| 2× | distribute-lft-in_binary64_1732 associate-+l+_binary64_1716 *-commutative_binary64_1714 distribute-rgt-in_binary64_1733 pow-prod-down_binary64_1854 pow-to-exp_binary64_1852 pow-exp_binary64_1851 |
| 1× | +-commutative_binary64_1713 exp-sum_binary64_1829 pow-sub_binary64_1859 pow-plus_binary64_1846 pow-prod-up_binary64_1853 pow1/2_binary64_1863 pow-sqr_binary64_1756 sum-log_binary64_1874 sqrt-pow1_binary64_1801 unswap-sqr_binary64_1751 rem-sqrt-square_binary64_1796 pow2_binary64_1864 |
4 calls:
| 51.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 49.0ms | (+.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (*.f64 (/.f64 -30666706506962181608371823434969/19342813113834066795298816 (-.f64 4 (*.f64 z z))) (/.f64 (+.f64 z 2) (-.f64 2 z)))) |
| 30.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 2.0ms | (sqrt.f64 PI.f64) |
4 calls:
| 347.0ms | (*.f64 (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) |
| 135.0ms | (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) |
| 124.0ms | (+.f64 (*.f64 (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z))) (+.f64 562949953421205/562949953421312 (/.f64 5950736089418501/8796093022208 (-.f64 1 z)))) (*.f64 (/.f64 -30666706506962181608371823434969/19342813113834066795298816 (-.f64 4 (*.f64 z z))) (/.f64 (+.f64 z 2) (-.f64 2 z)))) |
| 0.0ms | (sqrt.f64 PI.f64) |
Compiled 3210 to 2658 computations (17.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (146.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4940 | 5856 |
| 1 | 4940 | 5856 |
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 139 | 0 | 139 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 139 | 5 | 144 |
Compiled 16506 to 12640 computations (23.4% saved)
Total 0.1b remaining (37.8%)
Threshold costs 0.1b (37.8%)
Compiled 6632 to 5550 computations (16.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (3.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 165 |
| 1 | 142 | 165 |
| 1× | intervals |
| 1.3min | 3726× | body | 8192 | exit |
| 4.6s | 8000× | body | 128 | valid |
| 375.0ms | 11812× | pre | 128 | true |
| 57.0ms | 86× | body | 128 | invalid |
Compiled 3425 to 2865 computations (16.4% saved)
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