Details

Time bar (total: 4.4s)

sample40.0ms

Algorithm
intervals
Results
20.0ms266×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune2.0ms

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: 17.2b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
5.0b
(/ (* y b) t)
5.7b
(/ (* y z) t)
12.2b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×times-frac
22×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+
3×frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 101
Calls
4 calls:
4.0ms
(+ x (/ (* y z) t))
4.0ms
(/ (* y b) t)
4.0ms
(/ (* y z) t)
15.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series154.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ x (/ (* y z) t))
18.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
92.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0454843
11942782
25001782

prune265.0ms

Filtered
113 candidates to 73 candidates (64.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10211113
Fresh000
Picked101
Done000
Total10311114

Merged error: 12.3b

Counts
114 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (/ t z)))
5.0b
(/ (* y b) t)
5.5b
(/ y (/ t z))
12.2b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity times-frac
59×add-sqr-sqrt add-cube-cbrt
22×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp add-log-exp
5×associate-/r/
4×pow1 flip3-+ flip-+
3×frac-2neg clear-num
2×frac-add associate-/l/
1×+-commutative prod-exp sum-log cbrt-unprod
Counts
4 → 150
Calls
4 calls:
12.0ms
(+ x (/ y (/ t z)))
4.0ms
(/ (* y b) t)
5.0ms
(/ y (/ t z))
19.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ x (/ y (/ t z)))
18.0ms
(/ (* y b) t)
18.0ms
(/ y (/ t z))
231.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06611208
127161142
250011141

prune427.0ms

Filtered
162 candidates to 113 candidates (69.8%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1566162
Fresh4610
Picked101
Done000
Total16112173

Merged error: 11.2b

Counts
173 → 12

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (/ y t) (/ 1 z)))
5.0b
(/ (* y b) t)
7.0b
(/ (/ y t) (/ 1 z))
12.2b
(/ (+ x (/ (/ y t) (/ 1 z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
444×times-frac
252×*-un-lft-identity
213×add-sqr-sqrt add-cube-cbrt
33×add-exp-log
31×div-inv
23×add-cbrt-cube
22×distribute-lft-out
21×associate-/r*
19×div-exp
18×associate-/l*
11×cbrt-undiv
6×add-log-exp
5×associate-/r/
4×pow1 flip3-+ flip-+
3×frac-2neg clear-num associate-/l/
2×rec-exp 1-exp frac-add
1×+-commutative prod-exp sum-log cbrt-unprod
Counts
4 → 299
Calls
4 calls:
50.0ms
(+ x (/ (/ y t) (/ 1 z)))
4.0ms
(/ (* y b) t)
10.0ms
(/ (/ y t) (/ 1 z))
58.0ms
(/ (+ x (/ (/ y t) (/ 1 z))) (+ (+ a 1.0) (/ (* y b) t)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ x (/ (/ y t) (/ 1 z)))
18.0ms
(/ (* y b) t)
18.0ms
(/ (/ y t) (/ 1 z))
231.0ms
(/ (+ x (/ (/ y t) (/ 1 z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
311 → 311
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015262988
150012645

prune626.0ms

Filtered
311 candidates to 185 candidates (59.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New3110311
Fresh01111
Picked011
Done000
Total31112323

Merged error: 11.2b

Counts
323 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.5b
(/ y (/ t z))
12.2b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
87×add-sqr-sqrt
79×*-un-lft-identity
71×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
16×associate-/r*
14×cbrt-prod
11×cbrt-undiv div-exp
9×associate-/r/
8×prod-exp cbrt-unprod div-inv
7×associate-*l* associate-/l*
6×pow1 frac-add unswap-sqr
5×flip3-+ flip-+
4×distribute-lft-out add-log-exp
3×frac-times associate-*r/ associate-*l/
2×frac-2neg clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 181
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0ms
(/ y (/ t z))
18.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt t)
46.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
18.0ms
(/ y (/ t z))
271.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
09851932
147331714
250021698

prune597.0ms

Filtered
193 candidates to 154 candidates (79.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1930193
Fresh01010
Picked011
Done011
Total19312205

Merged error: 11.2b

Counts
205 → 12

regimes500.0ms

bsearch3.0ms

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