Details

Time bar (total: 4.2s)

sample20.0ms

Algorithm
intervals
Results
9.0ms275×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
8.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
62.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
33.0ms
(/ (+ (- t z) 1.0) a)
31.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series241.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
31.0ms
(/ (+ (- t z) 1.0) a)
124.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify70.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07071950
126291888
250011887

prune409.0ms

Filtered
201 candidates to 119 candidates (59.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
2.0b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
23.0ms
(/ (- y z) (+ (- t z) 1.0))
2.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
53.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series255.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- y z) (+ (- t z) 1.0))
85.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
122.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0436882
11450824
25001823

prune257.0ms

Filtered
123 candidates to 77 candidates (62.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
0.5b
(cbrt (- y z))
2.0b
(* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (- y z)) (cbrt (+ (- t z) 1.0)))) a)

rewrite473.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
29×prod-exp cbrt-unprod
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×cbrt-undiv div-exp
9×pow1
8×add-cube-cbrt
6×cbrt-div
4×associate-*l/ add-log-exp
3×flip3-- pow1/3 associate-*r* pow-prod-down flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*l* *-commutative
Counts
4 → 84
Calls
4 calls:
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
2.0ms
(cbrt (- y z))
464.0ms
(* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (- y z)) (cbrt (+ (- t z) 1.0)))) a)

series554.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- y z))
147.0ms
(cbrt (- y z))
144.0ms
(cbrt (- y z))
121.0ms
(* (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (cbrt (- y z)) (cbrt (+ (- t z) 1.0)))) a)

simplify73.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05591429
12663990
25002807

prune302.0ms

Filtered
96 candidates to 65 candidates (67.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
0.0b
(/ a (+ (- t z) 1.0))
7.7b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
31×times-frac
30×add-sqr-sqrt
23×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×pow1 associate-*l* associate-/r* add-log-exp
4×associate-/r/
3×flip3-- flip-- associate-/l*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
3 → 95
Calls
3 calls:
2.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
18.0ms
(/ a (+ (- t z) 1.0))
52.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(- x (* (- y z) (/ a (+ (- t z) 1.0))))
34.0ms
(/ a (+ (- t z) 1.0))
71.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0408686
11779630
25001630

prune233.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample529.0ms

Algorithm
intervals
Results
281.0ms8491×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid