Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

267×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
8.9b	(/ x (* (- y z) (- y t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `flip3--` `flip--`
10×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
6×	`add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y z) (- y t))
58.0ms	(/ x (* (- y z) (- y t)))

simplify38.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	304	403
1	1399	360
2	5002	360

prune164.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
8.9b	(/ x (* 1 (* (- y z) (- y t))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `flip3--` `associate-*r/` `flip--`
10×	`*-un-lft-identity`
8×	`frac-times` `associate-/r/`
7×	`prod-exp`
6×	`add-cube-cbrt`
5×	`div-exp` `associate-r` `associate-l`
4×	`pow1` `associate-*l/` `cbrt-unprod`
3×	`cbrt-undiv` `times-frac` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `1-exp` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 67

Calls

2 calls:

9.0ms	(* (- y z) (- y t))
11.0ms	(/ x (* 1 (* (- y z) (- y t))))

series96.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y z) (- y t))
65.0ms	(/ x (* 1 (* (- y z) (- y t))))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	395	447
1	2026	390
2	5002	384

prune175.0ms

Filtered

73 candidates to 51 candidates (69.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ x (* 1 (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t))))))
26.2b	(cbrt (* (- y z) (- y t)))
26.2b	(cbrt (* (- y z) (- y t)))
26.2b	(cbrt (* (- y z) (- y t)))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`frac-times`
1968×	`cbrt-div`
1476×	`flip3--` `flip--`
1300×	`associate-*r/`
728×	`associate-/r/`
644×	`associate-*l/`
27×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`prod-exp`
7×	`div-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `add-log-exp`
3×	`cbrt-prod` `times-frac` `pow1/3` `1-exp` `associate-/l*`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 807

Calls

4 calls:

115.0ms	(/ x (* 1 (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t))))))
8.0ms	(cbrt (* (- y z) (- y t)))
8.0ms	(cbrt (* (- y z) (- y t)))
7.0ms	(cbrt (* (- y z) (- y t)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ x (* 1 (* (* (cbrt (* (- y z) (- y t))) (cbrt (* (- y z) (- y t)))) (cbrt (* (- y z) (- y t))))))
176.0ms	(cbrt (* (- y z) (- y t)))
179.0ms	(cbrt (* (- y z) (- y t)))
184.0ms	(cbrt (* (- y z) (- y t)))

simplify186.0ms

Algorithm

egg-herbie

Counts

819 → 819

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5001	17818

prune6.0s

Filtered

819 candidates to 808 candidates (98.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y t))
0.0b	(/ 1 (- y z))
1.9b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
67×	`times-frac`
41×	`add-cube-cbrt`
31×	`add-exp-log`
21×	`associate-r` `associate-l`
19×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`flip3--` `flip--` `cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

3 → 150

Calls

3 calls:

5.0ms	(/ x (- y t))
5.0ms	(/ 1 (- y z))
18.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ x (- y t))
34.0ms	(/ 1 (- y z))
128.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	522	909
1	2277	798
2	5001	758

prune289.0ms

Filtered

159 candidates to 99 candidates (62.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	18	6
2	18	6

end0.0ms

sample470.0ms

Algorithm

intervals

Results

242.0ms

8415×

body

valid