Details

Time bar (total: 16.0s)

sample65.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
17.0ms221×body80nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.2b
(/ 2.0 (* t 3.0))
2.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.4b
(/ (* z (sqrt (+ t a))) t)

rewrite43.0ms

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:
11.0ms
(* z (sqrt (+ t a)))
3.0ms
(/ 2.0 (* t 3.0))
17.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms
(/ (* z (sqrt (+ t a))) t)

series336.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
177.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
79.0ms
(/ (* z (sqrt (+ t a))) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010191262
150011200

prune561.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
2.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.7b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×add-exp-log flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 169
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
41.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
27.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series686.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
175.0ms
(cbrt t)
112.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
218.0ms
(- (* (/ 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
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.1s

Filtered
181 candidates to 144 candidates (79.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ 2.0 (* t 3.0)) 3)
2.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
5.4b
(/ (* z (sqrt (+ t a))) t)
38.0b
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod frac-sub
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×add-exp-log times-frac add-cbrt-cube
14×unpow-prod-down cube-prod
9×flip3-- flip--
8×cube-div frac-times
7×cbrt-div
6×associate-*r/ associate--r+ add-log-exp
5×pow1 div-inv
4×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-rgt-in sub-neg pow-unpow distribute-lft-in pow-exp associate-/r* rem-cube-cbrt
2×cube-mult sqrt-div unpow3 associate-*l/ prod-exp associate--l+ cbrt-unprod associate-/l/ sqr-pow
1×pow-to-exp pow-pow frac-2neg pow1/3 diff-log clear-num rem-cbrt-cube associate-/l*
Counts
4 → 121
Calls
4 calls:
4.0ms
(pow (/ 2.0 (* t 3.0)) 3)
20.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)
3.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

series328.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(pow (/ 2.0 (* t 3.0)) 3)
183.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (pow (/ 2.0 (* t 3.0)) 3)))))
80.0ms
(/ (* z (sqrt (+ t a))) t)
17.0ms
(cbrt (pow (/ 2.0 (* t 3.0)) 3))

simplify40.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010141444
150021373

prune648.0ms

Filtered
133 candidates to 88 candidates (66.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
3.5b
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
6.5b
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
25.5b
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite592.0ms

Algorithm
rewrite-expression-head
Rules
469×associate-*l/
467×associate-*r/
320×frac-sub
306×flip3-- flip--
202×frac-times
102×associate-/l/
74×add-exp-log
65×add-cbrt-cube
42×prod-exp cbrt-unprod
30×pow1
18×pow-prod-down
10×cbrt-undiv div-exp
8×distribute-rgt-in distribute-lft-in associate--r+
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×sub-neg associate-*l*
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 316
Calls
4 calls:
13.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
62.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
165.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
312.0ms
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

series4.8s

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
262.0ms
(* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0)))
2.1s
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
2.3s
(/ (- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* (* (cbrt t) (cbrt t)) (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify213.0ms

Algorithm
egg-herbie
Counts
328 → 328
Iterations

Useful iterations: 1 (76.0ms)

IterNodesCost
0375116844
1500116406

prune3.7s

Filtered
328 candidates to 276 candidates (84.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes321.0ms

Accuracy

7.2% (2.0b remaining)

Error of 2.6b against oracle of 0.6b and baseline of 2.8b

bsearch440.0ms

Steps
ItersRangePoint
9
1.1928236169489571e-237
1.8142243750636847e-232
3.5881784849603215e-236
11
-9.006978130673245e-154
-1.0901082543496313e-177
-1.55791072317737e-173

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07964
17964

end0.0ms

sample1.7s

Algorithm
intervals
Results
579.0ms8000×body80valid
540.0ms7917×body80nan