Details

sample72.0ms

Algorithm

intervals

Results

17.0ms	234×	body	80	nan
17.0ms	256×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
2.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.8b	(/ (* z (sqrt (+ t a))) t)

rewrite116.0ms

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:

7.0ms	(/ 2.0 (* t 3.0))
22.0ms	(* z (sqrt (+ t a)))
64.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms	(/ (* z (sqrt (+ t a))) t)

series350.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 2.0 (* t 3.0))
63.0ms	(* z (sqrt (+ t a)))
189.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
81.0ms	(/ (* z (sqrt (+ t a))) t)

simplify50.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1377	2637
1	5001	2324

prune867.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
3.9b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

208.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
7.0ms	(/ 2.0 (* t 3.0))
23.0ms	(* z (sqrt (+ t a)))
0.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series352.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
21.0ms	(/ 2.0 (* t 3.0))
61.0ms	(* z (sqrt (+ t a)))
208.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify112.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	900	2516
1	4225	1991
2	5001	1986

prune630.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
1.7b	(log (exp (fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
3.9b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

7.0ms	(/ 2.0 (* t 3.0))
24.0ms	(* z (sqrt (+ t a)))
3.0ms	(log (exp (fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
0.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series500.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 2.0 (* t 3.0))
65.0ms	(* z (sqrt (+ t a)))
209.0ms	(log (exp (fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))
209.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	426	785
1	1491	675
2	5002	664

prune479.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
0.3b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
3.9b	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 161

Calls

4 calls:

209.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
8.0ms	(/ 2.0 (* t 3.0))
21.0ms	(* z (sqrt (+ t a)))
0.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))
16.0ms	(/ 2.0 (* t 3.0))
65.0ms	(* z (sqrt (+ t a)))
210.0ms	(fma (* z (sqrt (+ t a))) (/ 1 t) (- (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))

simplify104.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	900	2516
1	4225	1991
2	5001	1986

prune617.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes271.0ms

Accuracy

0% (2.0b remaining)

Error of 2.6b against oracle of 0.7b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	18
1	46	18
2	46	18

end0.0ms

sample1.9s

Algorithm

intervals

Results

548.0ms	8000×	body	80	valid
477.0ms	7765×	body	80	nan