Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

270×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	39	8
2	64	8
3	115	8
4	207	8
5	465	8
6	1337	8
7	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
0.0b	(- (* t z) x)
10.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
24×	`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`
6×	`prod-diff`
4×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
3×	`div-sub`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-`

Counts

4 → 113

Calls

4 calls:

6.0ms	(- (* y z) x)
56.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
3.0ms	(- (* t z) x)
12.0ms	(/ (- (* y z) x) (- (* t z) x))

series242.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (* y z) x)
133.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
25.0ms	(- (* t z) x)
62.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	462	1042
1	2015	941
2	5001	941

prune320.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
2.0b	(fma (/ y (- (* t z) x)) z x)
3.1b	(/ x (- (* t z) x))
3.5b	(/ y (- (* t z) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac`
103×	`*-un-lft-identity`
71×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`associate-/l*`
16×	`associate-/r/` `distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
8×	`div-inv`
7×	`flip3--` `flip--`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`flip3-+` `flip-+` `fma-udef` `associate-/l/`

Counts

4 → 170

Calls

4 calls:

15.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
0.0ms	(fma (/ y (- (* t z) x)) z x)
8.0ms	(/ x (- (* t z) x))
5.0ms	(/ y (- (* t z) x))

series264.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
59.0ms	(fma (/ y (- (* t z) x)) z x)
66.0ms	(/ x (- (* t z) x))
30.0ms	(/ y (- (* t z) x))

simplify68.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	582	1552
1	2287	1475
2	5002	1475

prune583.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
3.1b	(/ x (- (* t z) x))
3.5b	(/ y (- (* t z) x))
8.0b	(* (/ y (- (* t z) x)) z)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
111×	`*-un-lft-identity`
84×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
21×	`associate-/l*`
18×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
16×	`distribute-lft-out`
15×	`associate-l`
10×	`associate-/r*`
9×	`div-inv`
8×	`flip3--` `flip--`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `clear-num`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `associate-/l/`

Counts

4 → 196

Calls

4 calls:

16.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
6.0ms	(/ x (- (* t z) x))
6.0ms	(/ y (- (* t z) x))
19.0ms	(* (/ y (- (* t z) x)) z)

series240.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
62.0ms	(/ x (- (* t z) x))
36.0ms	(/ y (- (* t z) x))
39.0ms	(* (/ y (- (* t z) x)) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	648	1693
1	2528	1600
2	5001	1600

prune636.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (/ y (- (* t z) x)) (* (cbrt z) (cbrt z))) (cbrt z))
3.1b	(/ x (- (* t z) x))
3.5b	(/ y (- (* t z) x))
5.7b	(* (/ y (- (* t z) x)) (* (cbrt z) (cbrt z)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
32×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
28×	`times-frac`
25×	`add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
16×	`associate-l`
9×	`pow-prod-down`
7×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/r/` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `associate-*l/` `flip--` `div-inv`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`

Counts

4 → 132

Calls

4 calls:

50.0ms	(* (* (/ y (- (* t z) x)) (* (cbrt z) (cbrt z))) (cbrt z))
5.0ms	(/ x (- (* t z) x))
5.0ms	(/ y (- (* t z) x))
26.0ms	(* (/ y (- (* t z) x)) (* (cbrt z) (cbrt z)))

series329.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (* (/ y (- (* t z) x)) (* (cbrt z) (cbrt z))) (cbrt z))
67.0ms	(/ x (- (* t z) x))
32.0ms	(/ y (- (* t z) x))
161.0ms	(* (/ y (- (* t z) x)) (* (cbrt z) (cbrt z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	465	1125
1	1911	927
2	5001	884

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes162.0ms

Accuracy

13.4% (3.9b remaining)

Error of 4.3b against oracle of 0.3b and baseline of 4.9b

bsearch114.0ms

Steps

Iters	Range		Point
8	1.0262864414102929e-120	7.426809564524263e-118	3.9751503704831254e-120
6	-3.5199502361004946e-305	-3.117048759428799e-306	-2.0700452410626824e-305

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	46
1	56	46
2	56	46

end0.0ms

sample901.0ms

Algorithm

intervals

Results

678.0ms

8364×

body

valid