Details

Time bar (total: 4.5s)

sample28.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.7b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
27.9b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
5.0ms
(* (+ t y) a)
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
14.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series758.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ t y) a)
97.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
46.0ms
(+ (* (+ x y) z) (* (+ t y) a))
590.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05201087
123081025
250011025

prune318.0ms

Filtered
102 candidates to 76 candidates (74.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9111102
Fresh000
Picked101
Done000
Total9211103

Merged error: 9.8b

Counts
103 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (+ x t) y))
1.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
27.9b
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube add-log-exp
10×associate-*l/
7×pow1 flip3-+ flip-+
5×associate-/r*
4×div-exp frac-add prod-exp associate-/r/
3×flip3-- associate-*l* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp diff-log 1-exp sum-log cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg associate-*r/ pow-prod-down associate--l+ clear-num un-div-inv *-commutative inv-pow
Counts
4 → 118
Calls
4 calls:
7.0ms
(/ 1 (+ (+ x t) y))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
10.0ms
(+ (* (+ x y) z) (* (+ t y) a))
19.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ 1 (+ (+ x t) y))
98.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
46.0ms
(+ (* (+ x y) z) (* (+ t y) a))
589.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05621271
127681148
250021106

prune297.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1282130
Fresh2810
Picked011
Done000
Total13011141

Merged error: 9.8b

Counts
141 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
27.9b
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
138×times-frac
72×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
24×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube add-log-exp
8×div-exp associate-*l/ associate-/l*
6×flip3-- flip3-+ flip-- flip-+ div-inv
5×pow1
4×cbrt-undiv frac-add
2×rec-exp frac-2neg diff-log 1-exp clear-num sum-log associate-/l/
1×+-commutative sub-neg pow-flip associate--l+ inv-pow
Counts
4 → 176
Calls
4 calls:
20.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
14.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series829.0ms

Counts
4 → 12
Calls
4 calls:
586.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
100.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms
(+ (* (+ x y) z) (* (+ t y) a))
98.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify98.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07033188
133552977
250022859

prune355.0ms

Filtered
188 candidates to 94 candidates (50.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1853188
Fresh189
Picked101
Done011
Total18712199

Merged error: 4.9b

Counts
199 → 12

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New000
Fresh01010
Picked011
Done011
Total01212

Merged error: 4.9b

Counts
12 → 12

regimes558.0ms

bsearch3.0ms

Steps
ItersRangePoint
0
-1.5180382966306245e+60
-1.4685676931266622e+60
-1.4933029948786435e+60

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