Time bar (total: 30.0s)
| 31.0ms | 302× | body | 80 | nan |
| 30.0ms | 558× | pre | 80 | true |
| 29.0ms | 134× | body | 160 | valid |
| 17.0ms | 54× | body | 320 | valid |
| 8.0ms | 68× | body | 80 | valid |
| Iter | Nodes |
|---|---|
| done | 102 |
| 7 | 102 |
| 6 | 101 |
| 5 | 99 |
| 4 | 91 |
| 3 | 73 |
| 2 | 41 |
| 1 | 22 |
| 0 | 12 |
2 alts after pruning (2 fresh and 0 done)
Merged error: 42.4b
Found 4 expressions with local error:
| 0.1b | (sqrt (fma -3 (* c a) (* b b))) |
| 0.2b | (fma -3 (* c a) (* b b)) |
| 0.3b | (/ (- (sqrt (fma -3 (* c a) (* b b))) b) (* 3 a)) |
| 36.4b | (- (sqrt (fma -3 (* c a) (* b b))) b) |
| 34× | add-sqr-sqrt |
| 27× | *-un-lft-identity |
| 21× | add-cube-cbrt |
| 18× | prod-diff sqrt-prod |
| 9× | add-cbrt-cube add-exp-log |
| 6× | times-frac fma-neg associate-/l* add-log-exp difference-of-squares |
| 5× | pow1 |
| 4× | expm1-log1p-u insert-posit16 log1p-expm1-u |
| 3× | distribute-lft-out-- |
| 2× | cbrt-undiv flip3-- div-exp flip-- associate-/l/ |
| 1× | rem-sqrt-square clear-num associate-/r* sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp cbrt-unprod fma-udef div-inv |
| 3.0ms | (sqrt (fma -3 (* c a) (* b b))) |
| 0.0ms | (fma -3 (* c a) (* b b)) |
| 40.0ms | (/ (- (sqrt (fma -3 (* c a) (* b b))) b) (* 3 a)) |
| 16.0ms | (- (sqrt (fma -3 (* c a) (* b b))) b) |
| 117.0ms | (sqrt (fma -3 (* c a) (* b b))) |
| 66.0ms | (fma -3 (* c a) (* b b)) |
| 125.0ms | (/ (- (sqrt (fma -3 (* c a) (* b b))) b) (* 3 a)) |
| 102.0ms | (- (sqrt (fma -3 (* c a) (* b b))) b) |
| Iter | Nodes |
|---|---|
| done | 5000 |
| 3 | 3990 |
| 2 | 940 |
| 1 | 347 |
| 0 | 152 |
26 alts after pruning (26 fresh and 0 done)
Merged error: 39.0b
Found 4 expressions with local error:
| 0.3b | (/ (/ (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 0.3b | (/ (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 0.3b | (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) |
| 35.8b | (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) |
| 52× | times-frac |
| 48× | add-sqr-sqrt |
| 32× | *-un-lft-identity add-cube-cbrt |
| 23× | cube-unmult |
| 20× | add-cbrt-cube add-exp-log associate-/l* |
| 11× | difference-cubes |
| 10× | pow1 |
| 7× | cbrt-undiv div-exp |
| 6× | associate-*l* add-log-exp |
| 4× | expm1-log1p-u associate-/r* sqrt-prod fma-udef insert-posit16 log1p-expm1-u div-inv |
| 3× | div-sub associate-*r* prod-exp cbrt-unprod associate-/l/ |
| 2× | distribute-rgt-in clear-num frac-2neg distribute-lft-in sqrt-pow1 pow-plus flip3-- pow1/2 associate--l+ pow-prod-up flip-- unswap-sqr |
| 1× | sub-neg fma-neg diff-log prod-diff pow-prod-down *-commutative |
| 55.0ms | (/ (/ (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 83.0ms | (/ (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 17.0ms | (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) |
| 33.0ms | (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) |
| 611.0ms | (/ (/ (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 533.0ms | (/ (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 1.4s | (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) |
| 1.2s | (- (* (sqrt (fma (* a c) -3 (* b b))) (fma (* a c) -3 (* b b))) (* b (* b b))) |
| Iter | Nodes |
|---|---|
| done | 5001 |
| 2 | 2201 |
| 1 | 595 |
| 0 | 235 |
26 alts after pruning (26 fresh and 0 done)
Merged error: 35.4b
Found 4 expressions with local error:
| 0.3b | (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) |
| 0.3b | (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 0.3b | (/ (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 36.5b | (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b))) |
| 40× | times-frac |
| 28× | add-sqr-sqrt *-un-lft-identity add-cube-cbrt |
| 27× | add-cbrt-cube add-exp-log |
| 16× | associate-/l* |
| 13× | pow1 |
| 8× | prod-exp cbrt-unprod |
| 7× | cbrt-undiv div-exp |
| 6× | associate-*l* pow-prod-down add-log-exp |
| 4× | expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u div-inv |
| 3× | div-sub sqrt-prod associate-/l/ |
| 2× | clear-num associate-+r- frac-2neg |
| 1× | sub-neg flip3-+ flip3-- distribute-rgt-out-- fma-neg diff-log associate-*r* prod-diff *-commutative flip-+ flip-- |
| 58.0ms | (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) |
| 241.0ms | (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 241.0ms | (/ (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 34.0ms | (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b))) |
| 165.0ms | (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) |
| 438.0ms | (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 547.0ms | (/ (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b)))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 237.0ms | (- (* (sqrt (fma (* a c) -3 (* b b))) (* b b)) (* b (* b b))) |
| Iter | Nodes |
|---|---|
| done | 5001 |
| 2 | 2463 |
| 1 | 635 |
| 0 | 239 |
48 alts after pruning (48 fresh and 0 done)
Merged error: 34.9b
Found 4 expressions with local error:
| 0.3b | (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) |
| 0.3b | (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (* (* b b) (- (sqrt (fma (* a c) -3 (* b b))) b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 0.3b | (/ (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (* (* b b) (- (sqrt (fma (* a c) -3 (* b b))) b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 36.4b | (- (sqrt (fma (* a c) -3 (* b b))) b) |
| 46× | add-sqr-sqrt |
| 44× | *-un-lft-identity |
| 42× | add-cube-cbrt |
| 40× | times-frac |
| 27× | add-cbrt-cube add-exp-log |
| 18× | prod-diff |
| 16× | sqrt-prod associate-/l* |
| 13× | pow1 |
| 8× | prod-exp cbrt-unprod |
| 7× | cbrt-undiv div-exp |
| 6× | fma-neg associate-*l* pow-prod-down add-log-exp |
| 4× | expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u div-inv |
| 3× | associate-/l/ |
| 2× | clear-num frac-2neg difference-of-squares |
| 1× | sub-neg flip3-+ flip3-- diff-log associate-*r* *-commutative flip-+ flip-- distribute-lft-out-- |
| 64.0ms | (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) |
| 144.0ms | (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (* (* b b) (- (sqrt (fma (* a c) -3 (* b b))) b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 159.0ms | (/ (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (* (* b b) (- (sqrt (fma (* a c) -3 (* b b))) b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 14.0ms | (- (sqrt (fma (* a c) -3 (* b b))) b) |
| 169.0ms | (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) |
| 429.0ms | (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (* (* b b) (- (sqrt (fma (* a c) -3 (* b b))) b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) |
| 506.0ms | (/ (/ (+ (* (sqrt (fma (* a c) -3 (* b b))) (* (* a c) -3)) (* (* b b) (- (sqrt (fma (* a c) -3 (* b b))) b))) (fma (sqrt (fma (* a c) -3 (* b b))) b (+ (fma (* a c) -3 (* b b)) (* b b)))) (* 3 a)) |
| 100.0ms | (- (sqrt (fma (* a c) -3 (* b b))) b) |
| Iter | Nodes |
|---|---|
| done | 5000 |
| 2 | 2386 |
| 1 | 638 |
| 0 | 258 |
46 alts after pruning (46 fresh and 0 done)
Merged error: 34.7b
0% (1.2b remaining)
Error of 37.5b against oracle of 36.3b and baseline of 37.5b
| Iter | Nodes |
|---|---|
| done | 36 |
| 1 | 36 |
| 0 | 26 |
| 1.4s | 4803× | body | 160 | valid |
| 1.3s | 16134× | pre | 80 | true |
| 991.0ms | 8134× | body | 80 | nan |
| 599.0ms | 1413× | body | 320 | valid |
| 207.0ms | 1784× | body | 80 | valid |