Details

Time bar (total: 7.6s)

analyze859.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
6.2%90.4%3.4%6
6.2%90.4%3.4%7
6.2%88.8%5%8
7.8%77.9%14.3%9
7.8%56.5%35.7%10
7.8%56.5%35.7%11
8.1%41.5%50.3%12
8.3%41.4%50.3%13
8.4%40.2%51.4%14

sample105.0ms

Algorithm
intervals
Results
32.0ms430×body80nan
20.0ms256×body80valid
16.0ms207×body80invalid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0507916

prune18.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
0.8b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube
12×add-exp-log log-prod
10×pow1 add-log-exp
8×associate-*r* associate-*l*
6×distribute-rgt-in distribute-lft-in
5×exp-prod
3×times-frac prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp exp-sum pow-prod-down associate-*l/ log-pow *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×sub-neg flip3-- frac-2neg associate-*r/ associate--l+ clear-num sum-log flip-- div-inv associate-/l/ associate-/l*
Counts
4 → 94
Calls
4 calls:
7.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
7.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
11.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series128.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- t 1.0) (log a))
8.0ms
(* y (log z))
43.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify30.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050161237

prune168.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1015106
Fresh011
Picked011
Done000
Total1017108

Merged error: 0.0b

Counts
108 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow a (- t 1.0))
0.8b
(exp (- (log (* (pow z y) (pow a (- t 1.0)))) b))
1.5b
(log (* (pow z y) (pow a (- t 1.0))))
1.8b
(/ (* x (exp (- (log (* (pow z y) (pow a (- t 1.0)))) b))) y)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×*-un-lft-identity
13×add-sqr-sqrt
10×rem-log-exp prod-exp
9×add-cube-cbrt add-cbrt-cube
7×pow1 pow-to-exp pow-exp
6×exp-prod add-log-exp
5×pow-unpow
3×unpow-prod-down times-frac associate-/r* distribute-lft-out--
2×cbrt-undiv sub-neg log-prod exp-diff associate-*r/ div-exp exp-sum log-pow rem-exp-log pow-sub difference-of-squares
1×unpow-prod-up log-div pow-pow frac-2neg diff-log associate--l+ clear-num cbrt-unprod div-inv associate-/l/ associate-/l* sqr-pow
Counts
4 → 81
Calls
4 calls:
4.0ms
(pow a (- t 1.0))
7.0ms
(exp (- (log (* (pow z y) (pow a (- t 1.0)))) b))
5.0ms
(log (* (pow z y) (pow a (- t 1.0))))
11.0ms
(/ (* x (exp (- (log (* (pow z y) (pow a (- t 1.0)))) b))) y)

series202.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow a (- t 1.0))
60.0ms
(exp (- (log (* (pow z y) (pow a (- t 1.0)))) b))
38.0ms
(log (* (pow z y) (pow a (- t 1.0))))
90.0ms
(/ (* x (exp (- (log (* (pow z y) (pow a (- t 1.0)))) b))) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
050651032

prune140.0ms

Filtered
57 candidates to 93 candidates (-63.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh145
Picked101
Done011
Total946100

Merged error: 0.0b

Counts
100 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow a (- t 1.0)) (exp b))
0.0b
(/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y)
0.2b
(pow a (- t 1.0))
0.3b
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
47×div-exp
38×prod-exp
32×add-sqr-sqrt
30×*-un-lft-identity times-frac
29×add-cbrt-cube
28×add-cube-cbrt
16×pow-to-exp pow-exp
15×unpow-prod-down
9×cbrt-undiv associate-/l*
8×cbrt-unprod
7×pow1 associate-*r*
6×associate-/r*
5×unpow-prod-up sub-neg pow-unpow sqr-pow
4×add-log-exp
3×associate-*l* div-inv
2×frac-2neg associate-*r/ clear-num associate-/l/ pow-sub
1×pow-pow pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 144
Calls
4 calls:
6.0ms
(/ (pow a (- t 1.0)) (exp b))
10.0ms
(/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y)
7.0ms
(pow a (- t 1.0))
13.0ms
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

series171.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (pow a (- t 1.0)) (exp b))
62.0ms
(/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y)
12.0ms
(pow a (- t 1.0))
74.0ms
(* x (/ (* (pow z y) (/ (pow a (- t 1.0)) (exp b))) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
052192195

prune179.0ms

Filtered
95 candidates to 156 candidates (-64.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh134
Picked101
Done011
Total1575162

Merged error: 0b

Counts
162 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (pow a t) (pow a 1.0))
0.0b
(/ (/ (pow a t) (pow a 1.0)) (exp b))
0.0b
(/ (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))) y)
0.3b
(* x (/ (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))) y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
410×times-frac
263×add-exp-log
216×unpow-prod-down
213×add-sqr-sqrt
211×add-cube-cbrt *-un-lft-identity
210×div-exp
101×prod-exp
72×sqr-pow
70×pow-to-exp pow-exp
61×associate-/l*
45×add-cbrt-cube
18×cbrt-undiv
13×associate-/r*
11×cbrt-unprod
8×div-inv
7×associate-*r*
6×pow1
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr pow-div
Counts
4 → 439
Calls
4 calls:
6.0ms
(/ (pow a t) (pow a 1.0))
16.0ms
(/ (/ (pow a t) (pow a 1.0)) (exp b))
24.0ms
(/ (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))) y)
29.0ms
(* x (/ (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))) y))

series340.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (pow a t) (pow a 1.0))
55.0ms
(/ (/ (pow a t) (pow a 1.0)) (exp b))
114.0ms
(/ (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))) y)
127.0ms
(* x (/ (* (pow z y) (/ (/ (pow a t) (pow a 1.0)) (exp b))) y))

simplify91.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050118476

prune588.0ms

Filtered
287 candidates to 451 candidates (-57.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4510451
Fresh033
Picked011
Done011
Total4515456

Merged error: 0b

Counts
456 → 5

regimes918.0ms

Accuracy

0.8% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05955
15955

end0.0ms

sample3.2s

Algorithm
intervals
Results
981.0ms14226×body80nan
660.0ms8000×body80valid
576.0ms7154×body80invalid

Profiling

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