Details

Time bar (total: 8.5s)

sample74.0ms

Algorithm
intervals
Results
23.0ms276×body80nan
19.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.8b
(/ (* z (sqrt (+ t a))) t)

rewrite39.0ms

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:
7.0ms
(* z (sqrt (+ t a)))
5.0ms
(/ 2.0 (* t 3.0))
13.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
10.0ms
(/ (* z (sqrt (+ t a))) t)

series341.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
180.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
80.0ms
(/ (* z (sqrt (+ t a))) t)

simplify38.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191262
150011200

prune569.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(* (cbrt t) (cbrt t))
1.6b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
60×frac-sub
58×times-frac
54×*-un-lft-identity
52×associate-*r*
44×cbrt-prod
42×add-cube-cbrt
39×frac-times
28×sqrt-prod
27×add-exp-log associate-*r/
25×flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
14×unswap-sqr
13×pow1 associate-*l*
9×flip3-+ prod-exp cbrt-unprod flip-+
7×cbrt-undiv pow1/3 div-exp
6×swap-sqr distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down
2×associate--l+ pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus diff-log
Counts
4 → 198
Calls
4 calls:
1.0ms
(cbrt t)
6.0ms
(* (cbrt t) (cbrt t))
23.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
22.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series715.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt t)
203.0ms
(* (cbrt t) (cbrt t))
109.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
227.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
017983758
150023593

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
2.8b
(/ (* z (sqrt (+ t a))) t)
3.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.2b
(log (exp (/ 2.0 (* t 3.0))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×log-pow frac-sub
7×exp-prod flip3-- flip--
6×associate--r+ add-log-exp
5×pow1
4×cbrt-undiv frac-times associate-*r/ div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg log-prod distribute-lft-in div-inv
2×frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ clear-num cbrt-unprod associate-/l/
1×flip3-+ diff-log rem-log-exp flip-+
Counts
4 → 89
Calls
4 calls:
5.0ms
(/ 2.0 (* t 3.0))
8.0ms
(/ (* z (sqrt (+ t a))) t)
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.0ms
(log (exp (/ 2.0 (* t 3.0))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
80.0ms
(/ (* z (sqrt (+ t a))) t)
181.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
16.0ms
(log (exp (/ 2.0 (* t 3.0))))

simplify88.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07681017
13739918
25001917

prune542.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(* (cbrt t) (cbrt t))
6.7b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
11.9b
(log (exp (cbrt t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-sub
38×frac-times
26×associate-*r/
25×flip3-- flip--
24×add-sqr-sqrt
22×cbrt-prod
20×associate-*l/
16×add-cube-cbrt *-un-lft-identity
12×pow1
9×flip3-+ flip-+
7×pow1/3 log-pow
6×add-exp-log exp-prod swap-sqr associate-*r* associate-*l* associate--r+ add-log-exp
4×add-cbrt-cube unswap-sqr
3×distribute-rgt-in sub-neg log-prod distribute-lft-in
2×pow-prod-down associate--l+ pow-sqr pow-prod-up
1×pow2 pow-plus diff-log rem-log-exp prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt t)
6.0ms
(* (cbrt t) (cbrt t))
22.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.0ms
(log (exp (cbrt t)))

series795.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
198.0ms
(* (cbrt t) (cbrt t))
226.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
185.0ms
(log (exp (cbrt t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013572825
150012715

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes304.0ms

Accuracy

0% (1.9b remaining)

Error of 2.5b against oracle of 0.7b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample1.9s

Algorithm
intervals
Results
618.0ms8000×body80valid
591.0ms8088×body80nan