Details

Time bar (total: 6.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms296×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.7b
(* (/ (- x y) (- z y)) t)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
11.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

series136.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- x y) (- z y))
92.0ms
(* (/ (- x y) (- z y)) t)

simplify95.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune216.0ms

Filtered
112 candidates to 76 candidates (67.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (- x y) (- z y)) t)
5.9b
(cbrt (* (/ (- x y) (- z y)) t))
5.9b
(cbrt (* (/ (- x y) (- z y)) t))
5.9b
(cbrt (* (/ (- x y) (- z y)) t))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*l*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
6×pow1
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative flip-- div-inv
Counts
4 → 88
Calls
4 calls:
24.0ms
(* (/ (- x y) (- z y)) t)
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))
7.0ms
(cbrt (* (/ (- x y) (- z y)) t))

series931.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (/ (- x y) (- z y)) t)
272.0ms
(cbrt (* (/ (- x y) (- z y)) t))
283.0ms
(cbrt (* (/ (- x y) (- z y)) t))
282.0ms
(cbrt (* (/ (- x y) (- z y)) t))

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0384740
11135680
25001674

prune293.0ms

Filtered
100 candidates to 79 candidates (79.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.9b
(* (/ (cbrt (- x y)) (- z y)) t)
7.2b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log add-sqr-sqrt
58×*-un-lft-identity
53×associate-*l*
45×times-frac
36×cbrt-prod
35×add-cbrt-cube
33×prod-exp
28×add-cube-cbrt
20×cbrt-unprod
18×div-exp
15×distribute-lft-out-- difference-of-squares
11×pow1
10×cbrt-undiv
6×1-exp
4×expm1-log1p-u cbrt-div associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- flip-- unswap-sqr
2×pow1/3 associate-/r/ *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 149
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
29.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
53.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series1.5s

Counts
4 → 12
Calls
4 calls:
321.0ms
(cbrt (- x y))
152.0ms
(cbrt (- x y))
942.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
95.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify69.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06281397
126411130
250021023

prune382.0ms

Filtered
161 candidates to 104 candidates (64.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.9b
(* (/ (cbrt (- x y)) (- z y)) t)
7.2b
(* (/ (* (cbrt (- x y)) (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log
66×add-sqr-sqrt
58×*-un-lft-identity
55×prod-exp
53×associate-*l*
46×add-cbrt-cube
45×times-frac
36×cbrt-prod
31×cbrt-unprod
28×add-cube-cbrt
26×div-exp
15×distribute-lft-out-- difference-of-squares
14×cbrt-undiv
11×pow1
9×1-exp
4×expm1-log1p-u cbrt-div associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- flip-- unswap-sqr
2×pow1/3 associate-/r/ *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 158
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
28.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
83.0ms
(* (/ (* (cbrt (- x y)) (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series1.3s

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- x y))
144.0ms
(cbrt (- x y))
947.0ms
(* (/ (cbrt (- x y)) (- z y)) t)
92.0ms
(* (/ (* (cbrt (- x y)) (* (cbrt (* (cbrt (- x y)) (cbrt (- x y)))) (cbrt (cbrt (- x y))))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify101.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
07262182
132451732
250011717

prune436.0ms

Filtered
170 candidates to 107 candidates (62.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes239.0ms

Accuracy

40.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02830
12830

end0.0ms

sample431.0ms

Algorithm
intervals
Results
223.0ms8751×body80valid