Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

262×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.2b	(/ (* y b) t)
5.3b	(/ (* y z) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
26×	`times-frac`
25×	`distribute-lft-out`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `expm1-log1p-u` `fma-def` `frac-add` `associate-/r/` `log1p-expm1-u`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 118

Calls

4 calls:

17.0ms	(+ (+ a 1.0) (/ (* y b) t))
3.0ms	(/ (* y b) t)
3.0ms	(/ (* y z) t)
34.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ a 1.0) (/ (* y b) t))
21.0ms	(/ (* y b) t)
25.0ms	(/ (* y z) t)
114.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	488	947
1	2162	873
2	5003	850

prune418.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
3.7b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.2b	(/ (* y b) t)
11.9b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
48×	`add-sqr-sqrt`
46×	`times-frac`
32×	`add-exp-log` `add-cube-cbrt`
25×	`add-cbrt-cube`
22×	`associate-r`
14×	`cbrt-prod`
12×	`distribute-lft-out`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`associate-/r*`
7×	`associate-l`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/`
1×	`frac-times` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 140

Calls

4 calls:

0.0ms	(cbrt t)
23.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
3.0ms	(/ (* y b) t)
31.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt t)
52.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
27.0ms	(/ (* y b) t)
300.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify99.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	751	1615
1	3768	1397
2	5002	1319

prune560.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
3.7b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.8b	(* y (/ b t))
11.9b	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
47×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
35×	`associate-r`
32×	`add-exp-log`
25×	`add-cbrt-cube`
14×	`cbrt-prod`
10×	`associate-l` `prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `associate-*r/` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`pow-prod-down` `frac-add` `*-commutative` `associate-/l/`
1×	`frac-times` `frac-2neg` `pow1/3` `associate-*l/` `clear-num`

Counts

4 → 143

Calls

4 calls:

1.0ms	(cbrt t)
26.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
7.0ms	(* y (/ b t))
23.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt t)
51.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
21.0ms	(* y (/ b t))
299.0ms	(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* y (/ b t))))

simplify112.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	803	1509
1	4167	1288
2	5002	1231

prune601.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
3.7b	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.8b	(* y (/ b t))
12.0b	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
52×	`associate-r`
49×	`times-frac`
39×	`add-exp-log`
37×	`*-un-lft-identity`
36×	`add-cube-cbrt`
28×	`add-cbrt-cube`
14×	`cbrt-prod` `prod-exp`
13×	`associate-l`
12×	`cbrt-unprod`
11×	`unswap-sqr`
10×	`pow1` `div-exp`
9×	`cbrt-undiv`
5×	`associate-*r/`
4×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-l/` `-commutative`
2×	`frac-add`
1×	`rec-exp` `pow1/3` `1-exp` `un-div-inv`

Counts

4 → 154

Calls

4 calls:

1.0ms	(cbrt t)
27.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
7.0ms	(* y (/ b t))
44.0ms	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

series579.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt t)
57.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
21.0ms	(* y (/ b t))
308.0ms	(* (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (/ 1 (+ (+ a 1.0) (* y (/ b t)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	935	1636
1	5001	1377

prune875.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.7b

regimes446.0ms

Accuracy

38.3% (2.8b remaining)

Error of 13.3b against oracle of 10.5b and baseline of 15.0b

bsearch166.0ms

Steps

Iters	Range		Point
8	5.374196917870089e-200	2.0617163405006848e-197	2.039473926405995e-197
11	-3.6732293841271894e+99	-2.0291843046835775e+74	-1.2660479354571445e+90

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	26
1	49	26

end0.0ms

sample1.0s

Algorithm

intervals

Results

722.0ms

8260×

body

valid