Details

Time bar (total: 4.6s)

sample34.0ms

Algorithm
intervals
Results
18.0ms356×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 6.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×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/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ x (/ (* y (- z t)) a))
12.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series129.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
45.0ms
(/ (* y (- z t)) a)

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0297325
11236280
25001280

prune145.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
6.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
33.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series620.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a)
172.0ms
(cbrt a)
176.0ms
(cbrt a)
91.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify66.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0480918
12615741
25001706

prune341.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt (cbrt a))
6.1b
(* (/ y (* (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
39×*-un-lft-identity
36×add-exp-log
35×times-frac
34×associate-*r*
31×cbrt-prod
27×add-cube-cbrt
24×add-cbrt-cube
14×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
7×associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 108
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt (cbrt a))
69.0ms
(* (/ y (* (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))) (cbrt a))) (/ (- z t) (cbrt a)))

series696.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt a)
185.0ms
(cbrt a)
242.0ms
(cbrt (cbrt a))
91.0ms
(* (/ y (* (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))) (cbrt a))) (/ (- z t) (cbrt a)))

simplify89.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05651464
132951249
250021224

prune426.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.1b
(/ y (/ a (- z t)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
26.0ms
(+ x (/ y (/ a (- z t))))
9.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
55.0ms
(/ y (/ a (- z t)))

simplify65.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05471150
123841110
250021107

prune381.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes238.0ms

Accuracy

70.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.8b

bsearch79.0ms

Steps
ItersRangePoint
7
1.278734679189541e-14
1.11062781576033e-12
4.06463213368681e-14
7
-2.242415198704979e+64
-3.0136667244557635e+62
-3.0637893463441613e+62

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
13014

end0.0ms

sample872.0ms

Algorithm
intervals
Results
527.0ms10611×body80valid