Time bar (total: 27.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 0.2% | 99.8% | 0 |
| 0% | 0.2% | 99.8% | 1 |
| 0% | 0.2% | 99.8% | 2 |
| 0% | 0.2% | 99.8% | 3 |
| 0% | 0.2% | 99.8% | 4 |
| 0% | 0.2% | 99.8% | 5 |
| 0% | 0.2% | 99.8% | 6 |
| 0% | 0.2% | 99.8% | 7 |
| 0% | 0.2% | 99.8% | 8 |
| 0% | 0.2% | 99.8% | 9 |
| 0% | 0.2% | 99.8% | 10 |
| 0% | 0.2% | 99.8% | 11 |
| 0% | 0.2% | 99.8% | 12 |
| 0% | 0.2% | 99.8% | 13 |
| 0% | 0.2% | 99.8% | 14 |
| 1× | intervals |
| 73.0ms | 129× | body | 1280 | valid |
| 18.0ms | 256× | pre | 80 | true |
| 15.0ms | 57× | body | 640 | valid |
| 4.0ms | 21× | body | 320 | valid |
| 2.0ms | 41× | body | 80 | valid |
| 1.0ms | 8× | body | 160 | valid |
| 1× | egg-herbie |
Useful iterations: 0 (6.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 9 |
| 1 | 185 | 9 |
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: 11.9b
Found 3 expressions with local error:
| 0.1b | (- (tan (+ y z)) (tan a)) |
| 0.1b | (+ x (- (tan (+ y z)) (tan a))) |
| 3.1b | (tan (+ y z)) |
| 1× | rewrite-expression-head |
| 10× | *-un-lft-identity add-log-exp |
| 5× | add-sqr-sqrt |
| 4× | tan-quot |
| 3× | pow1 add-exp-log add-cube-cbrt add-cbrt-cube |
| 2× | sub-neg tan-sum diff-log sum-log frac-sub distribute-lft-out distribute-lft-out-- |
| 1× | +-commutative associate-+r- associate-+r+ flip3-- flip3-+ flip-- flip-+ difference-of-squares |
3 calls:
| 7.0ms | (- (tan (+ y z)) (tan a)) |
| 6.0ms | (tan (+ y z)) |
| 5.0ms | (+ x (- (tan (+ y z)) (tan a))) |
3 calls:
| 41.0ms | (+ x (- (tan (+ y z)) (tan a))) |
| 37.0ms | (- (tan (+ y z)) (tan a)) |
| 25.0ms | (tan (+ y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (70.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4916 | 561 |
| 1 | 4916 | 561 |
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 41 | 8 | 49 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 42 | 8 | 50 |
Merged error: 0.1b
Found 4 expressions with local error:
| 0.1b | (+ (tan y) (tan z)) |
| 0.1b | (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) |
| 0.1b | (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))) |
| 0.2b | (* (tan y) (tan z)) |
| 1× | rewrite-expression-head |
| 15× | *-un-lft-identity |
| 13× | add-sqr-sqrt add-log-exp |
| 7× | tan-quot |
| 6× | pow1 add-exp-log add-cube-cbrt add-cbrt-cube |
| 3× | associate-*r* associate-*l* sum-log distribute-lft-out |
| 2× | +-commutative sub-neg flip3-+ diff-log flip-+ distribute-lft-out-- difference-of-squares |
| 1× | frac-times associate-+r- associate-+r+ flip3-- times-frac associate-*r/ pow-prod-down associate-*l/ frac-add prod-exp *-commutative frac-sub flip-- cbrt-unprod unswap-sqr |
4 calls:
| 13.0ms | (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))) |
| 12.0ms | (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) |
| 5.0ms | (* (tan y) (tan z)) |
| 4.0ms | (+ (tan y) (tan z)) |
4 calls:
| 128.0ms | (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))) |
| 118.0ms | (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) |
| 22.0ms | (* (tan y) (tan z)) |
| 21.0ms | (+ (tan y) (tan z)) |
| 1× | egg-herbie |
Useful iterations: 0 (23.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4951 | 1271 |
| 1 | 4951 | 1271 |
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 4 | 77 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 78 | 7 | 85 |
Merged error: 0.1b
Found 4 expressions with local error:
| 0.2b | (* (tan y) (tan z)) |
| 0.2b | (/ (- (* x x) (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) (- x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 0.3b | (- (* x x) (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 0.4b | (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))) |
| 1× | rewrite-expression-head |
| 61× | *-un-lft-identity |
| 56× | add-sqr-sqrt |
| 28× | times-frac |
| 22× | add-cube-cbrt |
| 21× | distribute-lft-out-- difference-of-squares |
| 13× | pow1 |
| 12× | tan-quot |
| 11× | flip3-- flip-- |
| 10× | add-exp-log frac-times add-cbrt-cube |
| 9× | associate-*r* associate-*l* |
| 8× | swap-sqr frac-sub |
| 6× | associate-/r* add-log-exp |
| 5× | sub-neg |
| 4× | associate-*r/ associate-*l/ associate-/l* |
| 2× | distribute-rgt-in distribute-lft-in pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ associate--r+ unswap-sqr |
| 1× | cbrt-undiv pow2 frac-2neg pow-plus diff-log div-sub div-exp clear-num pow-sqr pow-prod-up div-inv |
4 calls:
| 27.0ms | (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))) |
| 22.0ms | (/ (- (* x x) (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) (- x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 9.0ms | (- (* x x) (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 5.0ms | (* (tan y) (tan z)) |
4 calls:
| 618.0ms | (/ (- (* x x) (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) (- x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 434.0ms | (- (* x x) (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 152.0ms | (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))) |
| 25.0ms | (* (tan y) (tan z)) |
| 1× | egg-herbie |
Useful iterations: 0 (46.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6054 | 5606 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 9 | 151 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 146 | 12 | 158 |
Merged error: 0.0b
Found 4 expressions with local error:
| 0.2b | (* (tan y) (tan z)) |
| 0.2b | (/ (- (* x x) (/ (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) (* (- 1 (* (tan y) (tan z))) (cos a)))) (- x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 0.3b | (- (* x x) (/ (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) (* (- 1 (* (tan y) (tan z))) (cos a)))) |
| 0.4b | (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) |
| 1× | rewrite-expression-head |
| 52× | associate-*l/ |
| 47× | add-sqr-sqrt *-un-lft-identity |
| 33× | frac-sub |
| 29× | tan-quot |
| 28× | flip3-- flip-- |
| 25× | frac-times times-frac |
| 20× | add-cube-cbrt |
| 16× | distribute-lft-out-- |
| 15× | difference-of-squares |
| 10× | add-exp-log add-cbrt-cube |
| 9× | associate-*r/ associate-*l* |
| 8× | pow1 flip3-+ frac-add flip-+ |
| 6× | associate-*r* associate-/r* add-log-exp |
| 4× | associate-/l* |
| 3× | sub-neg |
| 2× | pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ unswap-sqr |
| 1× | cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in diff-log div-sub div-exp clear-num div-inv |
4 calls:
| 29.0ms | (/ (- (* x x) (/ (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) (* (- 1 (* (tan y) (tan z))) (cos a)))) (- x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 27.0ms | (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) |
| 11.0ms | (- (* x x) (/ (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) (* (- 1 (* (tan y) (tan z))) (cos a)))) |
| 5.0ms | (* (tan y) (tan z)) |
4 calls:
| 1.3s | (/ (- (* x x) (/ (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) (* (- 1 (* (tan y) (tan z))) (cos a)))) (- x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))) |
| 1.0s | (- (* x x) (/ (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) (* (- 1 (* (tan y) (tan z))) (cos a)))) |
| 222.0ms | (* (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)) (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a)))) |
| 22.0ms | (* (tan y) (tan z)) |
| 1× | egg-herbie |
Useful iterations: 0 (18.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5538 | 12175 |
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 152 | 2 | 154 |
| Fresh | 1 | 10 | 11 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 154 | 12 | 166 |
Merged error: 0.0b
Total 0.2b remaining (71.4%)
Threshold costs 0.2b (71.4%)
| 1× | egg-herbie |
Useful iterations: 0 (7.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 108 |
| 1 | 424 | 108 |
| 1× | intervals |
| 1.7s | 3918× | body | 1280 | valid |
| 544.0ms | 8000× | pre | 80 | true |
| 501.0ms | 2018× | body | 640 | valid |
| 115.0ms | 677× | body | 320 | valid |
| 55.0ms | 1092× | body | 80 | valid |
| 36.0ms | 295× | body | 160 | valid |
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