Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

271×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	84	5
3	200	5
4	463	5
5	708	5
6	1261	5
7	1854	5
8	2446	5
9	2811	5
10	2813	5
11	2813	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
8.9b	(/ x (* (- y z) (- y t)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
32×	`associate-/r/`
31×	`flip3--` `flip--`
20×	`frac-times`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `associate-r/` `associate-l/` `add-cbrt-cube`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `unswap-sqr`

Counts

3 → 149

Calls

3 calls:

14.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
18.0ms	(* (- y z) (- y t))
7.0ms	(/ x (* (- y z) (- y t)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
28.0ms	(* (- y z) (- y t))
54.0ms	(/ x (* (- y z) (- y t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	739	2495
1	3304	1795
2	5001	1771

prune312.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(* (cbrt (- y z)) (cbrt (- y z)))
8.9b	(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

178×	`cbrt-div`
140×	`frac-times`
116×	`flip3--` `flip--`
80×	`associate-/r/`
46×	`associate-r/` `associate-l/`
38×	`cbrt-prod`
36×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
24×	`add-exp-log`
16×	`add-cube-cbrt` `add-cbrt-cube`
11×	`pow1`
10×	`swap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 201

Calls

4 calls:

2.0ms	(cbrt (- y z))
2.0ms	(cbrt (- y z))
19.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
52.0ms	(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt (- y z))
140.0ms	(cbrt (- y z))
123.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
55.0ms	(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

simplify109.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	1040	2440
1	4338	2253
2	5002	2174

prune644.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b	(/ 1 (- y z))
2.0b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
52×	`times-frac`
33×	`add-cube-cbrt`
29×	`add-exp-log`
21×	`associate-r` `associate-l`
17×	`add-cbrt-cube`
10×	`div-exp` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp`
6×	`pow1` `associate-/r/` `unswap-sqr`
5×	`cbrt-undiv` `associate-/r*` `add-log-exp`
4×	`flip3--` `flip--` `cbrt-unprod`
3×	`expm1-log1p-u` `rec-exp` `fma-neg` `1-exp` `prod-diff` `log1p-expm1-u` `div-inv` `associate-/l*`
1×	`frac-times` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

3 → 137

Calls

3 calls:

2.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
5.0ms	(/ 1 (- y z))
34.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
32.0ms	(/ 1 (- y z))
124.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	583	955
1	2613	830
2	5001	793

prune287.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
0.0b	(/ x (- y z))
2.5b	(/ (/ x (- y z)) (- y t))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

753×	`times-frac`
715×	`add-sqr-sqrt`
708×	`*-un-lft-identity`
402×	`add-cube-cbrt`
333×	`prod-diff`
155×	`difference-of-squares`
153×	`distribute-lft-out--`
52×	`associate-/r/`
27×	`flip3--` `flip--`
26×	`div-inv`
24×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 543

Calls

3 calls:

60.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
5.0ms	(/ x (- y z))
15.0ms	(/ (/ x (- y z)) (- y t))

series157.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
27.0ms	(/ x (- y z))
61.0ms	(/ (/ x (- y z)) (- y t))

simplify153.0ms

Algorithm

egg-herbie

Counts

552 → 552

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	2280	17149
1	5002	13946

prune1.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes152.0ms

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	11	5
1	11	5

end0.0ms

sample439.0ms

Algorithm

intervals

Results

230.0ms

8441×

body

valid