Details

sample131.0ms

Algorithm

intervals

Results

51.0ms	256×	body	80	valid
46.0ms	273×	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: 4.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.2b	(/ (* z (sqrt (+ t a))) t)

rewrite71.0ms

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))
41.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms	(/ (* z (sqrt (+ t a))) t)

series333.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
175.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms	(/ (* z (sqrt (+ t a))) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune900.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
0.3b	(/ 2.0 (* t 3.0))
6.5b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

11.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
3.0ms	(/ 2.0 (* t 3.0))
0.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

series292.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (sqrt (+ t a)))
16.0ms	(/ 2.0 (* t 3.0))
16.0ms	(/ 2.0 (* t 3.0))
197.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- b c))))

simplify44.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	391	525
1	1414	450
2	5001	441

prune530.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize29.0ms

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))
4.0b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite164.0ms

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:

144.0ms	(* (- 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))))))

series347.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
58.0ms	(/ (sqrt (+ t a)) t)
19.0ms	(/ 2.0 (* t 3.0))
207.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify107.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (83.0ms)

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

prune768.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp (* 2.0 (fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c)))))))))
0.2b	(/ (sqrt (+ t a)) t)
0.8b	(fma a b (- (fma a c (* 0.8333333333333334 c))))
2.9b	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

6.0ms	(* y (exp (* 2.0 (fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c)))))))))
8.0ms	(/ (sqrt (+ t a)) t)
0.0ms	(fma a b (- (fma a c (* 0.8333333333333334 c))))
0.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

series428.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* y (exp (* 2.0 (fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c)))))))))
63.0ms	(/ (sqrt (+ t a)) t)
36.0ms	(fma a b (- (fma a c (* 0.8333333333333334 c))))
161.0ms	(fma (/ z 1) (/ (sqrt (+ t a)) t) (- (fma a b (- (fma a c (* 0.8333333333333334 c))))))

simplify42.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	386	963
1	1224	852
2	5001	839

prune452.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes230.0ms

Accuracy

0% (2.0b remaining)

Error of 2.4b against oracle of 0.4b and baseline of 2.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	29
1	52	29
2	52	29

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
1.3s	7980×	body	80	nan