Details

Time bar (total: 5.2s)

sample25.0ms

Algorithm
intervals
Results
11.0ms264×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1398
2478
3498
4498

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.2b
(/ (* y b) t)
4.8b
(/ (* y z) t)
11.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite49.0ms

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))
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
36.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ x (/ (* y z) t))
19.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
94.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0454843
11942782
25001782

prune316.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ t (* y b)))
4.5b
(/ t (* y b))
4.8b
(/ (* y z) t)
11.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
67×times-frac
38×distribute-lft-out
37×add-exp-log add-sqr-sqrt add-cube-cbrt
25×add-cbrt-cube
18×associate-/r* div-inv
17×div-exp
11×associate-/l*
10×cbrt-undiv
5×pow1 prod-exp associate-/r/
4×frac-2neg clear-num add-log-exp
3×rec-exp flip3-+ 1-exp cbrt-unprod flip-+
2×frac-add associate-/l/
1×pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
8.0ms
(/ 1 (/ t (* y b)))
3.0ms
(/ t (* y b))
3.0ms
(/ (* y z) t)
48.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series153.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (/ t (* y b)))
20.0ms
(/ t (* y b))
17.0ms
(/ (* y z) t)
95.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05941260
127991112
250011109

prune384.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (/ t y) b))
4.8b
(/ (* y z) t)
5.7b
(/ (/ t y) b)
11.0b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
499×times-frac
301×*-un-lft-identity
245×add-sqr-sqrt add-cube-cbrt
56×associate-/r*
38×distribute-lft-out
37×add-exp-log
34×div-inv
25×add-cbrt-cube
21×div-exp associate-/l*
12×cbrt-undiv
5×pow1 associate-/r/
4×frac-2neg clear-num add-log-exp
3×rec-exp flip3-+ 1-exp flip-+ associate-/l/
2×frac-add
1×pow-flip prod-exp cbrt-unprod inv-pow
Counts
4 → 348
Calls
4 calls:
13.0ms
(/ 1 (/ (/ t y) b))
3.0ms
(/ (* y z) t)
6.0ms
(/ (/ t y) b)
131.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (/ (/ t y) b))
22.0ms
(/ (* y z) t)
20.0ms
(/ (/ t y) b)
100.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

simplify62.0ms

Algorithm
egg-herbie
Counts
360 → 360
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
013453220
150022642

prune821.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
5.7b
(/ (/ t y) b)
11.0b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
106×*-un-lft-identity
90×add-sqr-sqrt
74×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
24×distribute-lft-out
22×associate-*r*
16×div-inv associate-/l*
14×cbrt-prod
11×cbrt-undiv div-exp
10×associate-/r*
8×prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r/ add-log-exp
3×flip3-+ flip-+ associate-/l/
2×frac-2neg frac-add clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 189
Calls
4 calls:
0.0ms
(cbrt t)
25.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
6.0ms
(/ (/ t y) b)
121.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt t)
52.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
21.0ms
(/ (/ t y) b)
278.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ 1 (/ (/ t y) b))))

simplify102.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09652146
145421905
250021863

prune639.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.7b

regimes443.0ms

Accuracy

30.2% (3.4b remaining)

Error of 13.3b against oracle of 9.9b and baseline of 14.8b

bsearch138.0ms

Steps
ItersRangePoint
10
2.755296129002369e+108
3.9775467733637605e+127
2.974312757086245e+108
7
-4.3195561088632873e+120
-1.1481412520579832e+119
-7.955709334147822e+119

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05330
15330

end0.0ms

sample630.0ms

Algorithm
intervals
Results
351.0ms8319×body80valid