Details

Time bar (total: 4.5s)

sample30.0ms

Algorithm
intervals
Results
16.0ms356×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize9.0ms

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)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
9.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series126.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ (* y (- z t)) a))
36.0ms
(* y (- z t))
45.0ms
(/ (* y (- z t)) a)

simplify36.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0291345
11204306
25001306

prune140.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
34.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series605.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt a)
177.0ms
(cbrt a)
167.0ms
(cbrt a)
86.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480918
12615741
25001706

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

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)
0.0ms
(cbrt a)
1.0ms
(cbrt (cbrt a))
67.0ms
(* (/ y (* (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))) (cbrt a))) (/ (- z t) (cbrt a)))

series674.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt a)
173.0ms
(cbrt a)
233.0ms
(cbrt (cbrt a))
89.0ms
(* (/ y (* (* (cbrt (* (cbrt a) (cbrt a))) (cbrt (cbrt a))) (cbrt a))) (/ (- z t) (cbrt a)))

simplify79.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
05651464
132951249
250021224

prune395.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

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
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
30.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ y (/ a (- z t))))
33.0ms
(/ a (- z t))
51.0ms
(/ y (/ a (- z t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05511200
123711160
250011157

prune396.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes239.0ms

Accuracy

70.5% (0.8b remaining)

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

bsearch75.0ms

Steps
ItersRangePoint
7
1.278734679189541e-14
1.11062781576033e-12
8.161447045483875e-13
7
-2.242415198704979e+64
-3.0136667244557635e+62
-3.0637893463441613e+62

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
12710

end0.0ms

sample835.0ms

Algorithm
intervals
Results
515.0ms10611×body80valid