Details

Time bar (total: 7.8s)

analyze1.1s

Algorithm
search

sample35.0ms

Algorithm
intervals
Results
8.0ms210×body80valid
2.0ms16×body640valid
1.0msbody1280valid
1.0ms13×body320valid
1.0ms31×body80invalid
1.0msbody160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1446
21226
33276
48686
517276
635446
750016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
3.8b
(+ x (* (- y z) (/ (- t x) (- a z))))
5.8b
(* (- y z) (/ (- t x) (- a z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
associate-/r/
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- t x) (- a z))
3.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- t x) (- a z))
52.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
39.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0473869
12012820
25002820

prune186.0ms

Filtered
88 candidates to 128 candidates (-45.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New11315128
Fresh000
Picked101
Done000
Total11415129

Merged error: 4.0b

Counts
129 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.1b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
8.9b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
17×add-sqr-sqrt
16×cbrt-div
14×*-un-lft-identity add-cbrt-cube
13×associate-*r*
10×cbrt-prod flip3-- flip--
prod-exp cbrt-unprod
add-cube-cbrt associate-/r/
pow1 frac-times add-log-exp
associate-*l*
cbrt-undiv div-exp associate-*l/
associate-*r/ distribute-lft-out-- difference-of-squares
times-frac pow1/3 unswap-sqr
+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
26.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
3.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series232.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
127.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z)))))
52.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06831385
126681174
250031138

prune161.0ms

Filtered
71 candidates to 97 candidates (-36.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New94397
Fresh31114
Picked101
Done000
Total9814112

Merged error: 4.0b

Counts
112 → 14

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.1b
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))
9.9b
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
382×cbrt-div
138×frac-times
112×flip3-- flip--
85×associate-*r*
80×associate-/r/
51×associate-*r/
46×add-exp-log associate-*l/
25×prod-exp cbrt-unprod
24×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
10×cbrt-prod
cbrt-undiv add-cube-cbrt div-exp
pow1 add-log-exp
associate-*l*
distribute-lft-out-- difference-of-squares
pow1/3
+-commutative flip3-+ times-frac pow-prod-down sum-log *-commutative flip-+ div-inv unswap-sqr
Counts
4 → 164
Calls
4 calls:
5.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
59.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))
3.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series231.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
126.0ms
(* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z)))))))
53.0ms
(+ x (* (* (- y z) (/ (* (cbrt (- t x)) (cbrt (- t x))) (* (cbrt (- a z)) (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z))))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
017324239
150023652

prune281.0ms

Filtered
122 candidates to 176 candidates (-44.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1751176
Fresh11213
Picked011
Done000
Total17614190

Merged error: 4.0b

Counts
190 → 14

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
3.8b
(+ x (* (- y z) (- (/ t (- a z)) (/ x (- a z)))))
5.8b
(* (- y z) (- (/ t (- a z)) (/ x (- a z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
45×add-sqr-sqrt
33×times-frac
18×associate-*r*
17×add-cube-cbrt distribute-lft-out--
11×flip3-- flip-- difference-of-squares
frac-times
add-exp-log add-cbrt-cube
associate-/r/
pow1 associate-*l* associate-/r* add-log-exp
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in associate-*r/
distribute-rgt-out-- frac-sub div-inv associate-/l* sub-div
associate-*l/
cbrt-undiv +-commutative frac-2neg flip3-+ div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 105
Calls
3 calls:
5.0ms
(/ t (- a z))
8.0ms
(+ x (* (- y z) (- (/ t (- a z)) (/ x (- a z)))))
33.0ms
(* (- y z) (- (/ t (- a z)) (/ x (- a z))))

series102.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ t (- a z))
54.0ms
(+ x (* (- y z) (- (/ t (- a z)) (/ x (- a z)))))
40.0ms
(* (- y z) (- (/ t (- a z)) (/ x (- a z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0511864
12302823
25003823

prune96.0ms

Filtered
81 candidates to 114 candidates (-40.7%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh21012
Picked011
Done011
Total11513128

Merged error: 4.0b

Counts
128 → 13

regimes621.0ms

Accuracy

21.2% (6.0b remaining)

Error of 10.1b against oracle of 4.1b and baseline of 11.7b

bsearch2.3s

Steps
ItersRangePoint
8
2.501239233122234e-198
2.0905745917685818e-194
1.3539288939814582e-195
6
-1.7210014106935538e-199
-2.956082048447061e-200
-7.155896478543324e-200

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112
13112

end0.0ms

analyze987.0ms

Algorithm
search

sample785.0ms

Algorithm
intervals
Results
264.0ms6554×body80valid
65.0ms459×body640valid
51.0ms286×body1280valid
48.0ms1197×body80invalid
42.0ms393×body320valid
24.0ms287×body160valid
5.0ms21×body2560valid

Profiling

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