Details

Time bar (total: 4.0s)

sample25.0ms

Algorithm
intervals
Results
10.0ms345×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.1b
(/ (* y (- z t)) a)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series83.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
49.0ms
(/ (* y (- z t)) a)

simplify31.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0231226
11033189
25002189

prune111.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(* (cbrt a) (cbrt a))
4.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac associate-*r*
39×cbrt-prod
33×add-cube-cbrt
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
6×swap-sqr distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 133
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
6.0ms
(* (cbrt a) (cbrt a))
33.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a)
171.0ms
(cbrt a)
199.0ms
(* (cbrt a) (cbrt a))
92.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify84.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
05431050
13249848
25001793

prune381.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
9×pow1
6×times-frac
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 91
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
45.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series575.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
174.0ms
(cbrt y)
166.0ms
(cbrt y)
54.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify62.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04481138
12011828
25002701

prune253.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
7.3b
(/ y (/ a (- z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ a (- z t))
55.0ms
(/ y (/ a (- z t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04811051
121901013
250011004

prune344.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes352.0ms

Accuracy

72.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.4b

bsearch89.0ms

Steps
ItersRangePoint
10
1.4386735214851195e+31
5.746221266468231e+48
1.46766470083811e+31
9
-1.0453748164938118e+45
-3.2525529892986453e+38
-3.8901331428127535e+38

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

sample645.0ms

Algorithm
intervals
Results
317.0ms10698×body80valid