Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

275×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.2b	(* y (/ (- z t) (- z a)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

6.0ms	(+ x (* y (/ (- z t) (- z a))))
23.0ms	(/ (- z t) (- z a))
42.0ms	(* y (/ (- z t) (- z a)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(+ x (* y (/ (- z t) (- z a))))
37.0ms	(/ (- z t) (- z a))
59.0ms	(* y (/ (- z t) (- z a)))

simplify69.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune266.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))

series530.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (- z a))
130.0ms	(cbrt (- z t))
137.0ms	(cbrt (- z t))
131.0ms	(cbrt (- z t))

simplify160.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (154.0ms)

Iter	Nodes	Cost
0	243	428
1	523	408
2	1374	396
3	4708	373
4	5001	365

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ t (- z a))
0.0b	(/ z (- z a))
2.2b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

78.0ms	(- (/ z (- z a)) (/ t (- z a)))
11.0ms	(/ t (- z a))
11.0ms	(/ z (- z a))
220.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series279.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (/ z (- z a)) (/ t (- z a)))
28.0ms	(/ t (- z a))
37.0ms	(/ z (- z a))
119.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify49.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	429	888
1	1588	838
2	5002	838

prune341.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- z a)) (- z t)))
0.0b	(/ y (- z a))
8.2b	(* (/ y (- z a)) (- z t))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

7.0ms	(+ x (* (/ y (- z a)) (- z t)))
11.0ms	(/ y (- z a))
56.0ms	(* (/ y (- z a)) (- z t))

series196.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ x (* (/ y (- z a)) (- z t)))
27.0ms	(/ y (- z a))
99.0ms	(* (/ y (- z a)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	416	613
1	1659	573
2	5001	573

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample602.0ms

Algorithm

intervals

Results

239.0ms

8739×

body

valid