Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

265×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
7.8b	(/ (- (* y z) x) (- (* t z) x))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 97

Calls

4 calls:

2.0ms	(- (* y z) x)
2.0ms	(- (* t z) x)
54.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.0ms	(/ (- (* y z) x) (- (* t z) x))

series213.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (* y z) x)
23.0ms	(- (* t z) x)
112.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
54.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	399	950
1	1413	884
2	5001	882

prune280.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.4b	(/ 1 (- (* t z) x))
0.5b	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
7.7b	(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
19×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*`
6×	`associate-/r/` `associate-/l*` `add-log-exp`
5×	`flip3--` `div-exp` `flip--`
4×	`prod-exp` `distribute-lft-out`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-*l/` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 122

Calls

4 calls:

3.0ms	(- (* t z) x)
6.0ms	(/ 1 (- (* t z) x))
14.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
22.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (* t z) x)
22.0ms	(/ 1 (- (* t z) x))
115.0ms	(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
51.0ms	(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	468	1138
1	2109	1017
2	5003	986

prune307.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
7.8b	(/ (- (* t z) x) (- (* y z) x))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

2.0ms	(- (* t z) x)
11.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
85.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ (- (* t z) x) (- (* y z) x))

series314.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* t z) x)
79.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
149.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
58.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	633	2024
1	2917	1860
2	5002	1781

prune532.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (- (* y z) x))
7.5b	(cbrt (- (* t z) x))
7.5b	(cbrt (- (* t z) x))
7.5b	(cbrt (- (* t z) x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (- (* y z) x))
2.0ms	(cbrt (- (* t z) x))
3.0ms	(cbrt (- (* t z) x))
2.0ms	(cbrt (- (* t z) x))

series469.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (- (* y z) x))
114.0ms	(cbrt (- (* t z) x))
122.0ms	(cbrt (- (* t z) x))
117.0ms	(cbrt (- (* t z) x))

simplify100.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	245	464
1	599	436
2	1585	412
3	3798	408
4	5001	404

prune298.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.7b

regimes251.0ms

Accuracy

54.9% (2.9b remaining)

Error of 3.8b against oracle of 0.9b and baseline of 7.3b

bsearch94.0ms

Steps

Iters	Range		Point
8	3.298566360715875e+102	1.6815260742175534e+107	8.39157590169754e+105
9	-1.4357057065011275e+206	-7.372665996201916e+199	-1.914594438566085e+200

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	13
1	35	13

end0.0ms

sample551.0ms

Algorithm

intervals

Results

337.0ms

8315×

body

valid