Details

sample72.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
15.0ms	234×	body	80	nan

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	50	17
1	106	17
2	374	17
3	1652	17
4	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize29.0ms

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)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

8.0ms	(/ 2.0 (* t 3.0))
23.0ms	(* z (sqrt (+ t a)))
41.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
16.0ms	(/ (* z (sqrt (+ t a))) t)

series311.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 2.0 (* t 3.0))
54.0ms	(* z (sqrt (+ t a)))
165.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
73.0ms	(/ (* z (sqrt (+ t a))) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune592.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`pow1` `associate-r`
6×	`associate--r+` `add-log-exp`
5×	`log-prod` `flip3-+` `sqrt-prod` `flip-+`
4×	`sub-neg` `sqrt-div` `log-pow`
3×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `exp-sum` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`log-div` `frac-2neg` `exp-diff` `diff-log` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 98

Calls

4 calls:

23.0ms	(* z (sqrt (+ t a)))
57.0ms	(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
38.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
15.0ms	(/ (* z (sqrt (+ t a))) t)

series446.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* z (sqrt (+ t a)))
162.0ms	(log (exp (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
161.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
69.0ms	(/ (* z (sqrt (+ t a))) t)

simplify124.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	969	1508
1	4929	1396
2	5001	1396

prune619.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
3.8b	(/ (* z (sqrt (+ t a))) t)
4.3b	(log (exp (/ 2.0 (* t 3.0))))
4.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

24.0ms	(* z (sqrt (+ t a)))
15.0ms	(/ (* z (sqrt (+ t a))) t)
10.0ms	(log (exp (/ 2.0 (* t 3.0))))
39.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* z (sqrt (+ t a)))
69.0ms	(/ (* z (sqrt (+ t a))) t)
19.0ms	(log (exp (/ 2.0 (* t 3.0))))
157.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

simplify99.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	795	1091
1	3885	987
2	5001	982

prune572.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

3.6b	(* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))
5.5b	(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
7.2b	(* t (- (* b b) (* c c)))
22.9b	(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

268×	`associate-*r/`
150×	`flip3-+` `flip-+`
132×	`frac-times`
128×	`frac-add` `distribute-neg-frac`
96×	`sqrt-div`
66×	`associate-*l/` `associate-/l/`
52×	`flip3--` `flip--`
16×	`add-exp-log` `add-cbrt-cube`
14×	`*-un-lft-identity`
11×	`pow1` `add-sqr-sqrt`
9×	`add-cube-cbrt` `associate-r`
8×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`times-frac` `div-sub` `associate-/l*`
2×	`cbrt-undiv` `neg-sub0` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+` `distribute-neg-in` `div-exp` `unsub-neg` `sum-log` `associate-/r/` `*-commutative` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `neg-log` `clear-num` `associate-/r*` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 230

Calls

4 calls:

206.0ms	(* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))
61.0ms	(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
29.0ms	(* t (- (* b b) (* c c)))
146.0ms	(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

series1.1s

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))
456.0ms	(+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))))))
61.0ms	(* t (- (* b b) (* c c)))
483.0ms	(/ (+ (* (* z (sqrt (+ t a))) (+ b c)) (- (* (* t (- (* b b) (* c c))) (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))))))) (* t (+ b c)))

simplify119.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	2357	7331
1	5001	7154

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes406.0ms

Accuracy

0% (3.5b remaining)

Error of 3.8b against oracle of 0.3b and baseline of 3.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample2.0s

Algorithm

intervals

Results

595.0ms	8000×	body	80	valid
518.0ms	7765×	body	80	nan