Details

Time bar (total: 8.8s)

sample69.0ms

Algorithm
intervals
Results
19.0ms254×body80nan
18.0ms256×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: 4.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
3.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.5b
(/ (* z (sqrt (+ t a))) t)

rewrite40.0ms

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:
10.0ms
(* 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)))))
6.0ms
(/ (* z (sqrt (+ t a))) t)

series329.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (sqrt (+ t a)))
16.0ms
(/ 2.0 (* t 3.0))
173.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
78.0ms
(/ (* z (sqrt (+ t a))) t)

simplify37.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010191262
150011200

prune606.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.0b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite77.0ms

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)
40.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
26.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series693.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt t)
181.0ms
(cbrt t)
112.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
216.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
017393626
150013513

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
3.5b
(/ (* z (sqrt (+ t a))) t)
3.7b
(log (exp (/ 2.0 (* t 3.0))))
4.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (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:
3.0ms
(/ 2.0 (* t 3.0))
6.0ms
(/ (* z (sqrt (+ t a))) t)
4.0ms
(log (exp (/ 2.0 (* t 3.0))))
16.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ 2.0 (* t 3.0))
78.0ms
(/ (* z (sqrt (+ t a))) t)
17.0ms
(log (exp (/ 2.0 (* t 3.0))))
181.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07681017
13739918
25001917

prune569.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
5.1b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.1b
(log (exp (cbrt t)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-sub
38×frac-times
26×associate-*r/
25×flip3-- flip--
20×associate-*l/
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
7×log-pow
6×exp-prod associate--r+ add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×distribute-rgt-in sub-neg log-prod distribute-lft-in
2×pow1/3 associate--l+
1×diff-log rem-log-exp
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt t)
1.0ms
(cbrt t)
31.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.0ms
(log (exp (cbrt t)))

series752.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt t)
175.0ms
(cbrt t)
223.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
177.0ms
(log (exp (cbrt t)))

simplify61.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
012812693
150012579

prune958.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.5b

regimes370.0ms

Accuracy

-0.4% (2.2b remaining)

Error of 2.7b against oracle of 0.5b and baseline of 2.7b

bsearch352.0ms

Steps
ItersRangePoint
6
-3.98001481803127e-268
-3.957031206092552e-269
-4.351711991491278e-269
10
-1.254098217494008e-78
-2.231753302932873e-97
-1.9764978785679845e-84

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07964
17964

end0.0ms

sample1.8s

Algorithm
intervals
Results
572.0ms8000×body80valid
557.0ms8148×body80nan