Details

sample69.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
16.0ms	239×	body	80	nan

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	17
1	108	17
2	389	17
3	1761	17
4	5002	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
1.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.3b	(/ (* z (sqrt (+ t a))) t)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `expm1-log1p-u` `sqrt-div` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `associate-*l/` `associate--l+` `clear-num` `associate-/l/` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 179

Calls

4 calls:

11.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
39.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series351.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
184.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
85.0ms	(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune934.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.2b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
2.1b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
56×	`prod-diff`
54×	`add-cube-cbrt`
48×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
19×	`distribute-lft-out`
16×	`sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv` `associate-/l*`
8×	`frac-times` `flip3--` `flip--`
6×	`pow1` `associate-r` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `associate-r/` `associate-/r` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `clear-num` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`pow-prod-down` `*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 181

Calls

4 calls:

132.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
8.0ms	(/ (sqrt (+ t a)) t)
3.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
59.0ms	(/ (sqrt (+ t a)) t)
21.0ms	(/ 2.0 (* t 3.0))
215.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify109.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	894	2691
1	4023	2163
2	5002	2158

prune766.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
0.0b	(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
0.0b	(- (* 0.8333333333333334 c) (* a b))
0.8b	(fma c a (- (* 0.8333333333333334 c) (* a b)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`add-exp-log`
6×	`pow1` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `associate-/r` `fma-udef` `associate-/l`
2×	`exp-sum` `associate-/r/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

4.0ms	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
6.0ms	(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
3.0ms	(- (* 0.8333333333333334 c) (* a b))
0.0ms	(fma c a (- (* 0.8333333333333334 c) (* a b)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ x (+ x (* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))))
66.0ms	(* y (exp (* 2.0 (fma c a (- (* 0.8333333333333334 c) (* a b))))))
45.0ms	(- (* 0.8333333333333334 c) (* a b))
40.0ms	(fma c a (- (* 0.8333333333333334 c) (* a b)))

simplify104.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	336	842
1	1192	764
2	4109	756
3	5001	753

prune326.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes187.0ms

Accuracy

0% (1.2b remaining)

Error of 2.3b against oracle of 1.1b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	18
1	45	18
2	45	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

580.0ms	8000×	body	80	valid
554.0ms	8103×	body	80	nan