Details

Time bar (total: 11.8s)

sample237.0ms

Algorithm
intervals
Results
108.0ms1642×body80nan
45.0ms534×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03210
16510
21818
35228
422038
550028

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.2b
(* y (log z))
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite33.0ms

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 exp-sum prod-exp associate-/r* cbrt-unprod rem-exp-log
2×cbrt-undiv exp-diff diff-log div-exp 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 → 95
Calls
4 calls:
8.0ms
(* (- t 1.0) (log a))
5.0ms
(* 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)

series558.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (- t 1.0) (log a))
39.0ms
(* y (log z))
114.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
351.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0493869
12033715
25001683

prune303.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1025107
Fresh101
Picked101
Done000
Total1045109

Merged error: 0.0b

Counts
109 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
0.2b
(* y (log (/ 1 z)))
0.3b
(* (log (/ 1 a)) t)
1.1b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
96×add-sqr-sqrt
81×associate-*r*
76×*-un-lft-identity
75×add-cube-cbrt
55×unpow-prod-down
45×add-exp-log
26×log-prod
24×div-exp
22×add-cbrt-cube
17×exp-sum
16×prod-exp
14×pow1
13×distribute-rgt-in distribute-lft-in
12×associate-*l*
8×pow-exp div-inv unswap-sqr
6×log-pow cbrt-unprod
5×cbrt-undiv sqr-pow
4×add-log-exp
3×pow-prod-down associate-/r* *-commutative
2×pow-to-exp rec-exp pow-flip 1-exp associate-*r/ log-rec inv-pow
1×distribute-lft-neg-out frac-2neg clear-num distribute-rgt-neg-out associate-/l/ associate-/l*
Counts
4 → 199
Calls
4 calls:
33.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
7.0ms
(* y (log (/ 1 z)))
5.0ms
(* (log (/ 1 a)) t)
20.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series752.0ms

Counts
4 → 12
Calls
4 calls:
324.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
40.0ms
(* y (log (/ 1 z)))
59.0ms
(* (log (/ 1 a)) t)
328.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010772667
150022322

prune673.0ms

Filtered
211 candidates to 145 candidates (68.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2101211
Fresh044
Picked011
Done000
Total2106216

Merged error: 0.0b

Counts
216 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 a)) t)
0.3b
(* (log (/ 1 a)) t)
1.1b
(/ (* (* x (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
19×add-cbrt-cube
18×add-sqr-sqrt associate-*l*
16×pow1
12×add-cube-cbrt cbrt-div *-un-lft-identity
9×associate-*r/ associate-*r* prod-exp log-pow cbrt-unprod
7×associate-/l/
5×frac-times associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-neg-out pow-flip times-frac log-rec pow-prod-down associate-/r* *-commutative inv-pow unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 98
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 a)) t)
5.0ms
(* (log (/ 1 a)) t)
66.0ms
(/ (* (* x (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series507.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (log (/ 1 a)) t)
60.0ms
(* (log (/ 1 a)) t)
60.0ms
(* (log (/ 1 a)) t)
332.0ms
(/ (* (* x (* (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))))) (cbrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify61.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04291831
117951294
250021087

prune507.0ms

Filtered
110 candidates to 84 candidates (76.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh044
Picked011
Done011
Total1097116

Merged error: 0.0b

Counts
116 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow a (- t 1.0))
0.3b
(* (pow a (- t 1.0)) (pow z y))
1.0b
(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
1.5b
(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
131×add-exp-log
86×prod-exp
40×div-exp
36×add-cbrt-cube
31×pow-to-exp pow-exp
28×add-sqr-sqrt
15×unpow-prod-down
14×*-un-lft-identity cbrt-unprod
12×add-cube-cbrt associate-*r* associate-*l*
10×unswap-sqr
9×sqr-pow
8×cbrt-undiv
7×pow1
5×pow-unpow
4×unpow-prod-up add-log-exp
3×pow-sub
2×sub-neg times-frac associate-*l/ *-commutative div-inv
1×pow-pow frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* associate-/l/ associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 149
Calls
4 calls:
4.0ms
(pow a (- t 1.0))
7.0ms
(* (pow a (- t 1.0)) (pow z y))
10.0ms
(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
12.0ms
(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

series623.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(pow a (- t 1.0))
119.0ms
(* (pow a (- t 1.0)) (pow z y))
213.0ms
(/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b)))
232.0ms
(* x (/ (* (pow a (- t 1.0)) (pow z y)) (* y (exp b))))

simplify89.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06791404
133731202
250021174

prune322.0ms

Filtered
161 candidates to 87 candidates (54.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1592161
Fresh314
Picked011
Done112
Total1635168

Merged error: 0b

Counts
168 → 5

regimes280.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.0s45623×body80nan
1.2s15170×body80valid