Details

Time bar (total: 15.8s)

sample75.0ms

Algorithm
intervals
Results
18.0ms239×body80nan
18.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.5b
(/ 2.0 (* t 3.0))
1.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.2b
(/ (* z (sqrt (+ t a))) t)

rewrite87.0ms

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:
24.0ms
(* z (sqrt (+ t a)))
8.0ms
(/ 2.0 (* t 3.0))
34.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)

series352.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* z (sqrt (+ t a)))
19.0ms
(/ 2.0 (* t 3.0))
189.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
82.0ms
(/ (* z (sqrt (+ t a))) t)

simplify42.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010191262
150011200

prune568.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.2b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite129.0ms

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:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
50.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
67.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series723.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
190.0ms
(cbrt t)
237.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
112.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify63.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017393626
150013513

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a c) (* 0.8333333333333334 c))
0.0b
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.0b
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
0.9b
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
11×add-log-exp
9×times-frac associate-*r*
8×add-cbrt-cube
7×add-exp-log
6×pow1 exp-sum
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate--l+ associate-/r* associate-/l*
2×flip3-+ diff-log sum-log associate-/r/ flip-+
1×cbrt-undiv +-commutative distribute-rgt-out flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
4 → 79
Calls
4 calls:
7.0ms
(+ (* a c) (* 0.8333333333333334 c))
45.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
9.0ms
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
40.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series267.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ (* a c) (* 0.8333333333333334 c))
68.0ms
(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
118.0ms
(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
44.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify44.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0370925
11372850
25001839

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

3.2b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
3.7b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
7.2b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
30.6b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
28×add-exp-log add-cbrt-cube
16×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod
9×sub-neg
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate--r+
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv div-exp
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 → 437
Calls
4 calls:
306.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
54.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
432.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
662.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
199.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
50.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
620.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
762.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify284.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 1 (92.0ms)

IterNodesCost
0464124427
1500124209

prune5.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes265.0ms

Accuracy

-9.9% (2.0b remaining)

Error of 2.7b against oracle of 0.8b and baseline of 2.6b

bsearch351.0ms

Steps
ItersRangePoint
9
1.6878627981314555e-205
1.957294792821878e-198
6.832605321738832e-199
10
-2.509186828019072e-295
-4.7219975441101384e-307
-4.2413281079128766e-302

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07956
17956

end0.0ms

sample2.0s

Algorithm
intervals
Results
556.0ms8000×body80valid
521.0ms8014×body80nan