Details

Time bar (total: 13.9s)

sample192.0ms

Algorithm
intervals
Results
83.0ms1461×body80nan
30.0ms463×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- t 1.0) (log a))
0.3b
(* y (log z))
0.9b
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite124.0ms

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:
10.0ms
(* (- t 1.0) (log a))
4.0ms
(* y (log z))
75.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
30.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series381.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (- t 1.0) (log a))
38.0ms
(* y (log z))
168.0ms
(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
115.0ms
(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0493869
12033715
25001683

prune356.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)))))
0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.9b
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

rewrite259.0ms

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:
143.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
4.0ms
(* (log (/ 1 a)) t)
8.0ms
(* y (log (/ 1 z)))
93.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

series810.0ms

Counts
4 → 12
Calls
4 calls:
352.0ms
(* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))
69.0ms
(* (log (/ 1 a)) t)
44.0ms
(* y (log (/ 1 z)))
345.0ms
(/ (* x (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y)

simplify53.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010772667
150022322

prune851.0ms

Filtered
211 candidates to 145 candidates (68.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.9b
(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

rewrite488.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
46×add-sqr-sqrt
40×add-cube-cbrt *-un-lft-identity
39×times-frac
26×distribute-rgt-in distribute-lft-in
19×add-exp-log add-cbrt-cube
16×pow1
15×associate-*r*
12×associate-*l*
9×log-pow
6×prod-exp cbrt-unprod
5×div-inv
4×sqrt-div add-log-exp
3×cbrt-undiv pow-flip associate-*r/ div-exp log-rec pow-prod-down associate-/r* *-commutative associate-/l/ inv-pow unswap-sqr
2×distribute-rgt-neg-out
1×distribute-lft-neg-out frac-times frac-2neg associate-*l/ clear-num associate-/l*
Counts
4 → 144
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
9.0ms
(* y (log (/ 1 z)))
8.0ms
(* y (log (/ 1 z)))
460.0ms
(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

series521.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (log (/ 1 a)) t)
42.0ms
(* y (log (/ 1 z)))
49.0ms
(* y (log (/ 1 z)))
359.0ms
(/ (* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) y)

simplify74.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05491627
123441283
250011235

prune692.0ms

Filtered
156 candidates to 96 candidates (61.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (/ 1 a)) t)
0.3b
(* y (log (/ 1 z)))
0.3b
(* y (log (/ 1 z)))
0.4b
(* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

rewrite592.0ms

Algorithm
rewrite-expression-head
Rules
573×times-frac
273×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
244×associate-*r*
216×sqrt-prod
156×unpow-prod-down
52×log-prod
51×exp-sum
26×distribute-rgt-in distribute-lft-in
22×add-exp-log add-cbrt-cube
21×pow1
20×div-inv
13×associate-*l*
12×sqr-pow
9×prod-exp log-pow cbrt-unprod
6×pow-prod-down
4×*-commutative add-log-exp
3×pow-flip associate-*r/ log-rec inv-pow unswap-sqr
2×cbrt-undiv sqrt-div div-exp distribute-rgt-neg-out
1×distribute-lft-neg-out frac-times associate-*l/
Counts
4 → 369
Calls
4 calls:
5.0ms
(* (log (/ 1 a)) t)
7.0ms
(* y (log (/ 1 z)))
8.0ms
(* y (log (/ 1 z)))
538.0ms
(* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

series500.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (log (/ 1 a)) t)
41.0ms
(* y (log (/ 1 z)))
45.0ms
(* y (log (/ 1 z)))
349.0ms
(* (* x (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b)))))) (/ (sqrt (/ (pow (/ 1 a) 1.0) (exp (+ (* y (log (/ 1 z))) (+ (* (log (/ 1 a)) t) b))))) y))

simplify111.0ms

Algorithm
egg-herbie
Counts
381 → 381
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
022648695
150018201

prune2.1s

Filtered
381 candidates to 276 candidates (72.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03129
13129

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.3s45345×body80nan
940.0ms15161×body80valid