Time bar (total: 3.9s)
| 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 |
| 49.9% | 49.9% | 0.1% | 5 |
| 74.9% | 25% | 0.1% | 6 |
| 87.4% | 12.5% | 0.1% | 7 |
| 93.6% | 6.2% | 0.1% | 8 |
| 96.7% | 3.1% | 0.1% | 9 |
| 98.3% | 1.6% | 0.1% | 10 |
| 99.1% | 0.8% | 0.1% | 11 |
| 99.5% | 0.4% | 0.1% | 12 |
| 99.7% | 0.2% | 0.1% | 13 |
| 99.8% | 0.1% | 0.1% | 14 |
| 1× | intervals |
| 11.0ms | 256× | body | 80 | valid |
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 14 |
| 1 | 21 | 14 |
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: 38.4b
Found 3 expressions with local error:
| 0.0b | (+ (+ (* x x) (* y y)) (* z z)) |
| 0.1b | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 35.7b | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
| 1× | rewrite-expression-head |
| 21× | add-sqr-sqrt |
| 19× | times-frac |
| 18× | add-cube-cbrt *-un-lft-identity |
| 13× | sqrt-prod |
| 8× | add-log-exp |
| 5× | add-exp-log add-cbrt-cube |
| 4× | pow1 |
| 3× | associate-/r* sum-log associate-/l* |
| 2× | rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/ |
| 1× | cbrt-undiv +-commutative associate-+l+ frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num |
3 calls:
| 8.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 6.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
| 6.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
3 calls:
| 30.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) |
| 13.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) |
| 10.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (38.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5005 | 1330 |
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 6 | 76 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 7 | 77 |
Merged error: 19.8b
Found 4 expressions with local error:
| 0.0b | (+ (+ (* x x) (* y y)) (* z z)) |
| 0.2b | (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) |
| 0.5b | (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))) |
| 35.7b | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) |
| 1× | rewrite-expression-head |
| 90× | add-sqr-sqrt |
| 75× | times-frac sqrt-prod |
| 53× | *-un-lft-identity |
| 49× | add-cube-cbrt |
| 35× | cbrt-prod |
| 25× | associate-*r* |
| 16× | unswap-sqr |
| 10× | associate-*l* |
| 9× | pow1 add-log-exp |
| 8× | add-exp-log |
| 7× | add-cbrt-cube |
| 6× | associate-/r* |
| 5× | sqrt-div |
| 4× | div-inv |
| 3× | rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down sum-log associate-/l* |
| 2× | flip3-+ flip-+ associate-/l/ |
| 1× | cbrt-undiv +-commutative frac-times associate-+l+ frac-2neg sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num *-commutative cbrt-unprod |
4 calls:
| 22.0ms | (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))) |
| 10.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) |
| 7.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) |
| 6.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
4 calls:
| 46.0ms | (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) |
| 44.0ms | (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))) |
| 21.0ms | (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) |
| 10.0ms | (+ (+ (* x x) (* y y)) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (45.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4957 | 4093 |
| 1 | 4957 | 4093 |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 3 | 169 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 166 | 10 | 176 |
Merged error: 19.7b
Found 4 expressions with local error:
| 0.1b | (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) |
| 0.3b | (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) |
| 35.7b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 35.7b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1× | rewrite-expression-head |
| 102× | sqrt-prod |
| 73× | add-sqr-sqrt |
| 44× | times-frac |
| 36× | add-cube-cbrt *-un-lft-identity |
| 25× | associate-*r* |
| 16× | sqrt-div |
| 12× | unswap-sqr |
| 11× | pow1 |
| 9× | associate-*l* |
| 6× | add-exp-log add-cbrt-cube |
| 5× | rem-sqrt-square sqrt-pow1 pow1/2 |
| 4× | flip3-+ flip-+ add-log-exp |
| 3× | pow-prod-down |
| 2× | frac-times associate-*l/ div-inv |
| 1× | sqrt-unprod associate-*r/ prod-exp *-commutative cbrt-unprod |
4 calls:
| 24.0ms | (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) |
| 7.0ms | (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) |
| 6.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 6.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
4 calls:
| 40.0ms | (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) |
| 31.0ms | (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) |
| 19.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 19.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (27.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5038 | 3569 |
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 0 | 142 |
| Fresh | 0 | 7 | 7 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 142 | 10 | 152 |
Merged error: 19.7b
Found 4 expressions with local error:
| 0.3b | (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))) |
| 0.4b | (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) |
| 35.7b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 35.7b | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1× | rewrite-expression-head |
| 150× | sqrt-prod |
| 130× | add-sqr-sqrt |
| 106× | times-frac |
| 64× | add-cube-cbrt *-un-lft-identity |
| 47× | cbrt-prod |
| 43× | associate-*r* |
| 24× | unswap-sqr |
| 13× | associate-*l* |
| 10× | pow1 sqrt-div |
| 8× | add-exp-log |
| 7× | add-cbrt-cube |
| 6× | associate-/r* associate-/l* |
| 4× | sqrt-pow1 pow1/2 add-log-exp |
| 3× | flip3-+ pow-prod-down flip-+ div-inv |
| 2× | rem-sqrt-square associate-/l/ |
| 1× | cbrt-undiv frac-times frac-2neg sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num *-commutative cbrt-unprod |
4 calls:
| 31.0ms | (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))) |
| 10.0ms | (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) |
| 6.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 6.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
4 calls:
| 46.0ms | (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))) |
| 32.0ms | (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) |
| 24.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 19.0ms | (sqrt (+ (+ (* x x) (* y y)) (* z z))) |
| 1× | egg-herbie |
Useful iterations: 0 (38.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5123 | 6176 |
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 0 | 201 |
| Fresh | 0 | 6 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 201 | 10 | 211 |
Merged error: 19.7b
Total 7.3b remaining (28.4%)
Threshold costs 0b (0%)
| Iters | Range | Point | |
|---|---|---|---|
| 7 | 1.985329277842828e+85 | 3.2861745400188417e+87 | 3.114260434348677e+87 |
| 4 | -3.534183814324744e+116 | -1.7790815087299613e+116 | -3.0987829915356215e+116 |
| 1× | egg-herbie |
Useful iterations: 0 (1.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 55 |
| 1 | 70 | 55 |
| 1× | intervals |
| 363.0ms | 8000× | body | 80 | valid |
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