Details

sample41.0ms

Algorithm

intervals

Results

18.0ms	230×	body	80	valid
4.0ms	15×	body	640	valid
3.0ms	15×	body	320	valid
3.0ms	9×	body	1280	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.4b	(- (+ x y) (/ (* (- z t) y) (- a t)))
11.2b	(/ (* (- z t) y) (- a t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

10.0ms	(* (- z t) y)
28.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms	(/ (* (- z t) y) (- a t))

series202.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
110.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
64.0ms	(/ (* (- z t) y) (- a t))

simplify50.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune212.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
4.2b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.5b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
30×	`associate-r`
27×	`cbrt-prod`
25×	`add-exp-log`
23×	`add-cube-cbrt`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `frac-times` `div-exp`
6×	`pow1` `frac-sub` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
5×	`associate-r/` `associate-l/`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 127

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
65.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
18.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- a t))
155.0ms	(cbrt (- a t))
99.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
115.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify93.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	785	1736
1	3321	1577
2	5002	1498

prune483.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
4.2b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
14.7b	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
30×	`associate-r`
27×	`cbrt-prod`
25×	`add-exp-log`
23×	`add-cube-cbrt`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
5×	`frac-times`
3×	`associate-r/` `associate-l/`
2×	`pow1/3` `div-inv`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 119

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
64.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
2.0ms	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series668.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- a t))
339.0ms	(cbrt (- a t))
99.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
84.0ms	(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	657	1524
1	2791	1373
2	5001	1294

prune413.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
12.2b	(* (- z t) (/ (/ (/ y (cbrt (- a t))) (cbrt (- a t))) (cbrt (- a t))))
13.3b	(- y (* (- z t) (/ (/ (/ y (cbrt (- a t))) (cbrt (- a t))) (cbrt (- a t)))))

rewrite965.0ms

Algorithm

rewrite-expression-head

Rules

5458×	`times-frac`
3417×	`cbrt-prod`
3374×	`add-sqr-sqrt`
3310×	`*-un-lft-identity`
1974×	`associate-r`
1948×	`add-cube-cbrt`
681×	`distribute-lft-out--` `difference-of-squares`
150×	`cbrt-div`
146×	`associate-/r/`
78×	`flip3--` `flip--`
73×	`div-inv`
18×	`add-exp-log`
15×	`unswap-sqr`
12×	`add-cbrt-cube`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
5×	`associate-l`
4×	`prod-exp` `cbrt-unprod`
2×	`frac-times` `pow1/3` `associate-*l/`
1×	`sub-neg` `diff-log` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 2058

Calls

4 calls:

2.0ms	(cbrt (- a t))
2.0ms	(cbrt (- a t))
650.0ms	(* (- z t) (/ (/ (/ y (cbrt (- a t))) (cbrt (- a t))) (cbrt (- a t))))
2.0ms	(- y (* (- z t) (/ (/ (/ y (cbrt (- a t))) (cbrt (- a t))) (cbrt (- a t)))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- a t))
146.0ms	(cbrt (- a t))
61.0ms	(* (- z t) (/ (/ (/ y (cbrt (- a t))) (cbrt (- a t))) (cbrt (- a t))))
87.0ms	(- y (* (- z t) (/ (/ (/ y (cbrt (- a t))) (cbrt (- a t))) (cbrt (- a t)))))

simplify296.0ms

Algorithm

egg-herbie

Counts

2070 → 2070

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5002	30816

prune7.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.8b

regimes413.0ms

Accuracy

42.7% (4.3b remaining)

Error of 8.5b against oracle of 4.2b and baseline of 11.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	88
1	60	88

end0.0ms

sample1.2s

Algorithm

intervals

Results

583.0ms	7280×	body	80	valid
125.0ms	473×	body	640	valid
90.0ms	423×	body	320	valid
83.0ms	271×	body	1280	valid
35.0ms	258×	body	160	valid
6.0ms	15×	body	2560	valid